Part 3. Index in the order of Pappus' text.

Index of the Propositions Used in Book 7 of Pappus' Collection
Ken SAITO

(This article was originally printed in Jinbun Kenkyu: The Journal of Humanities, No.26(1997), Faculty of Letters, Chiba University pp. 155-188.)

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Introductory Essay. (14KB)
Part 1-1: Symbols for Propositions in Part 1. (4KB)
Part 1-2: List of the Propositions used in Pappus Book 7. (11KB)
Part 2: Index of the Propositions used in Pappus Book 7. (56KB)
Part 3: Index in the order of Pappus' text (this file: 120KB).
Bibliography and Acknowledgements. (3KB)

Part 3: Index in the order of Pappus' text

Legenda:

Every line has the following format:

(paragraph)-(sentence); (page)-(line)-(word); (proposition), (proposition), ... ; (comment)

Example

270-3; 321-24-13; 6-16-Conv,5-19-Cor,5-4,5-17+; see Jones 2:485

reads as follows:

In paragraph 270, 3rd sentence, which begins at page 321, line 24, 13th word in Jones's edition, the following propositions are used:

6-16-Conv, 5-19-Cor, 5-4, 5-17

the symbol "+" after 5-17 indicates that 5-17 is used explicitly. "see Jones 2:485" —vol.2, p.485— is my comment.

For symbols such as 6-16-Conv etc., see Part 1-1: Symbols for Propositions and Part 1-2: List of the Propositions.

In this Part, besides the symbols in Part 1, the following are used:

post
postulates of the first book of the Elements

com
Common notions. Note that some new "com"'s are added to Book 2 of the Elements.

The propositions may be accompanied by following symbols.

[] unnecessary argument

() conjecture

<> two or more steps are included in one statement

= cite previous statement

<= cite a part of previous statement

# erroneous application

+ explicit application (not always indicated)

* continue to/from next/previous sentence

uter(xxx|yyy) either xxx or yyy is used, according to the configuration.

alter(xxx|yyy) xxx or yyy (or something other) is used.

Instead of a proposition-identifier, you may find one of the
following:

absurdum "it's absurd"; statement in the end of reductio ad absurdum

adfirmatio statement in the course of a proof usually proved later in the proposition

aliter "in other ways"; introduce an alternative proof.

analysis analysis of a problem begins here

diorismus1 assertion of the proposition in particular context; usually follows ekthesis.

diorismus2 diorismus (statement of limit of possibility)

ekthesis ekthesis (particular enuncitation)

kataskeue constructions before the proof (rare, only when no specific proposition can be cited for the construction.)

protasis protasis (general enunciation) (rare in Pappus)

similiter can be proved in the same way

sumperasma repetition of the theorem

supra see previous argument

synthesis synthesis of an argument; usually follows analysis.

Index

43-1; 127-1-1; protasis
43-2; 127-2-2; ekthesis
43-3; 127-4-2; 1-post-1, 1-3; incline see 44-2
43-4; 127-6-3; 1-post-1, 1-31
43-5; 127-7-2; 6-2-Dir, 5-11-x
43-6; 127-9-9; sumperasma

44-1; 127-11-1; ekthesis, diorismus1; cf. 6-12 To find the third proportional
44-2; 127-12-12; 1-post-1, 1-3; incline see 43-3
44-3; 127-14-5; 1-post-1, 1-31
44-4; 127-15-5; 6-2-Dir, 5-11-x
44-5; 127-17-1; sumperasma
44-6; 127-17-5; similiter; 6-12, To find the fourth proportional

45-1; 127-19-1; ekthesis
45-2; 127-20-5; diorismus1; 5-18-ineq-1
45-3; 127-21-10; 44
45-4; 127-22-14; 5-13
45-5; 127-24-1; 5-10-A
45-6; 127-24-8; 1-3
45-7; 127-25-1; 5-18
45-8; 127-27-2; (1-com-4), 5-8-A, 5-13

46-1; 127-29-1; ekthesis; 5-18-ineq-2
46-2; 127-30-8; diorismus1
46-3; 127-31-10; 44, <5-13, 5-10-A>
46-4; 129-1-4; 1-3
46-5; 129-1-7; 5-18
46-6; 129-2-9; 5-8-A
46-7; 129-3-9; 5-13

47-1; 129-5-1; ekthesis
47-2; 129-6-7; diorismus1; 5-16-ineq-1
47-3; 129-7-10; 44
47-4; 129-8-12; <5-13, 5-10-A>
47-5; 129-9-5; 1-3
47-6; 129-9-8; 5-16+
47-7; 129-10-11; 5-8-B
47-8; 129-12-4; 5-13, sumperasma
47-9; 129-13-7; adfirmatio; 5-16-ineq-2
47-10; 129-14-4; 44; for 47-9
47-11; 129-15-6; <5-13, 5-10-A>
47-12; 129-15-11; similiter; see 47-5 to 47-8

48-1; 129-17-1; ekthesis
48-2; 129-18-5; diorismus1; 5-19-Cor-ineq-1
48-3; 129-19-9; 44-6
48-4; 129-20-10; <5-13, 5-10-B>
48-5; 129-21-3; 1-3
48-6; 129-21-7; 5-19-Cor
48-7; 129-22-10; (1-com-3-ineq), 5-8-B
48-8; 129-23-10; ekthesis; similiter
48-9; 129-24-2; diorismus1; 5-19-Cor-ineq-2
48-10; 129-26-6; <44-6, 5-13, 5-10-B>; AB reads AG
48-11; 129-27-7; manifestum; see 48-5 to 48-7

49-1; 129-28-1; ekthesis
49-2; 129-29-7; diorismus1; 5-7-Cor-ineq
49-3; 129-30-9; 44-6
49-4; 129-31-11; <5-13, 5-10-B>
49-5; 129-32-3; 1-3
49-6; 129-32-7; 5-7-Cor
49-7; 129-33-9; 5-8-A, (5-13), (sumperasma)
49-8-1; 131-1-9; ekthesis; similiter
49-8-2; 131-3-1; diorismus1; 5-7-Cor-ineq
49-9; 131-4-3; <44-6, 5-10-B>
49-10; 131-5-5; manifestum; 49-5 to 49-7
49-11; 131-5-9; ekthesis, (49-2, 5-7-Cor-ineq);
49-12; 131-8-6; ekthesis, (49-8, 5-7-Cor-ineq);

50-1; 131-11-1; ekthesis; 5-12-ineq-1
50-2; 131-12-5; diorismus1
50-3; 131-13-7; 44-6
50-4; 131-14-6; <5-13, 5-10-B>
50-5; 131-14-12; 1-3
50-6; 131-15-4; 5-12+
50-7; 131-16-4; 5-8-B
50-8; 131-17-4; 5-13
50-9; 131-18-7; 5-Q
50-10; 131-19-12; adfirmatio; 5-12-ineq-2

51-1; 131-21-1; ekthesis; 5-19-ineq-1
51-2; 131-22-9; diorismus1
51-3; 131-24-3; 44-6, (5-13, 5-10-B), 1-3; Commandino's emendation seems to be
insufficient. cf.50-3 to 50-4
51-4; 131-25-3; 5-19+
51-5-1; 131-26-4; (1-com-3-ineq), 5-8-B
51-5-2; 131-27-4; 5-13
51-6; 131-28-6; adfirmatio; 5-19-ineq-1

52-1; 131-30-1; ekthesis
52-2; 131-31-1; diorismus1
52-3; 131-32-1; 1-3
52-4; 131-32-8; 5-7-cor-1
52-5; 131-33-7; 5-8-A
52-6; 133-1-8; 5-13
52-7; 133-2-9; adfirmatio, manifestum

53-1; 133-5-1; ekthesis; see Jones's note
53-2; 133-6-5; diorismus1
53-3; 133-7-5; manifestum; 53-4 gives an explanation
53-4; 133-7-11; =52; explanation
53-5; 133-10-2; ; here begins the demonstration
53-6; 133-10-6; 44, 5-14-a, 1-com-T
53-7; 133-12-9; 1-3
53-8; 133-13-2; 5-8-A
53-9; 133-14-3; <=53-7, (5-11-x); AB:G=HE:Z
53-10; 133-14-16; 5-13
53-11; 133-16-1; adfirmatio
53-12; 133-16-9; adfirmatio
53-13; 133-17-13; 6-16-Dir, (2-com-2-rec1, 1-com-T); obvious from G
54-1; 133-20-1; ekthesis
54-2; 133-20-9; diorismus1
54-3; 133-23-6; ;take points D, E, on either side of G
54-4; 133-24-4; 1-com-8, 53, 47
54-5; 133-27-5; similiter; the same holds for other points
54-6; 133-28-6; 1-com-8, 53
54-7; 133-30-9; 47
54-8; 133-31-11; similiter; the same holds for other points

55-1; 135-1-1; ekthesis, 1-10, diorismus1
55-2; 135-3-6; 2-5, 2-com-1
55-3; 135-5-5; 1-com-8
55-4; 135-5-12; similiter; the same holds for other points

56-1; 135-7-1; protasis
56-2; 135-8-3; ekthesis
56-3; 135-9-4; diorismus1
56-4-1; 135-10-3; 2-5, 1-com-1
56-4-2; 135-14-3; (1-com-8), 2-com-2,
56-5; 135-14-12; 1-com-3-ineq; proved in the following 57.

57-1; 135-16-1; ekthesis, diorismus1; proof for 1-com-3-ineq
57-2; 135-18-2; 1-3
57-3; 135-18-9; 1-com-A
57-4; 135-19-7; 1-com-3*
57-5; 135-19-11; *1-com-3
57-6; 135-20-9; 1-com-8

58-1; 135-22-1; ekthesis; 6-16-ineq
58-2; 135-23-4; diorismus1
58-3; 135-24-2; 44-6
58-4; 135-24-1; 5-13
58-5; 135-26-1; 5-10-B
58-6; 135-26-8; 2-com-2-rec1*
58-7; 135-26-13; *2-com-2-rec1
58-8; 135-27-13; (=58-3), 6-16-Dir
58-9; 135-28-10; 1-com-A-ineq
58-10; 135-29-9; 1-com-D
58-11; 135-30-6; similiter; 6-16-ineq

59-1; 137-1-1; ekthesis
59-2; 137-2-3; diorismus1
59-3; 137-3-3; 1-44-x
59-4; 137-4-1; 1-com-A-ineq
59-5; 137-5-1; 2-com-2-rec1-conv
59-6; 137-5-8; 6-16-Conv#; Confused argument. See Jones.
59-7; 137-6-4; 5-8-B#; Confused argument. See Jones.
59-8; 137-7-3; 5-13#; Confused argument. See Jones.
59-9; 137-7-10; similiter;

60-1; 137-8-1; ekthesis
60-2; 137-9-12; diorismus1
60-3; 137-11-7; 1-com-2-x
60-4; 137-14-2; 1-com-E; if AD=DE, then AB+BE=2BD
60-5; 137-14-10; 6-17-Dir, 2-com-x; (2x)^2=4(x^2)
60-6; 137-15-7; (1-com-A), sumperasma

61-1; 137-18-1; ekthesis
61-2; 137-19-7; diorismus1
61-3; 137-21-4; 1-com-A
61-4; 137-24-1; 6-17-Dir, 2-com-x
61-5; 137-24-11; (1-com-A), sumperasma

62-1; 137-27-1; ekthesis
62-2; 137-28-6; diorismus1
62-3-1; 137-30-1; 1-com-A, 6-17-Dir, 2-com-x
62-3-2; 137-32-7; sumperasma

63-1; 139-1-1; ekthesis
63-2; 139-2-7; diorismus1
63-3; 139-4-2; 1-com-A
63-4; 139-6-8; 6-17-Dir, 2-com-x
63-5; 139-7-6; 1-com-A
63-6; 139-9-2; ;These things are assuemed in the Cutting off of a Ratio
63-7; 139-9-9; ;They are also assumed in the Cutting off of an Area.

64-1; 139-12-1; explanatio; see Jones 412
64-2; 139-14-1; ekthesis, diorismus1
64-3; 139-17-8; diorismus2; see Jones 412-413
64-4; 139-21-9; analysis, 62
64-5; 139-23-1; <=64-4
64-6; 139-23-15; 5-16+, 5-17+, 6-16-Dir
64-7; 139-25-6; (Data-3, Data-4, Data-52); EA=AB+BG-sqrt(4AB,BG) is given.
64-8; 139-25-13; Data-def-1
64-9; 139-26-6; (Data-27), Data-59+*
64-10; 139-27-3; *Data-59
64-11; 139-28-1; synthesis
64-12; 139-28-4; 62, 6-29
64-13; 139-30-4; diorismus1
64-14; 139-31-1; 6-16-Conv, 5-18+, 5-16+
64-15; 139-33-10; similiter
64-16; 139-36-8; QED

68-1; 143-2-1; explanatio
68-2; 143-4-1; ekthesis
68-3; 143-5-11; diorismus1
68-4; 143-6-14; 6-16-Conv
68-5; 143-8-12; 5-12
68-6; 143-9-11; 5-7-Cor; only "anapalin"
68-7; 143-10-1; 6-16-Conv
68-8; 143-12-1; 5-12
68-9; 143-12-16; 68-6
68-10; 143-13-15; 6-23-lem
68-11-1; 143-16-10; 6-23
68-11-2; 143-18-11; 6-23-def
68-12; 143-20-5; 5-11

69-1; 143-22-1; explanatio
69-2-1; 143-23-1; ekthesis; same as 68-2
69-2-2; 143-23-12; 6-16-Conv; AD:DB=ED:DG
69-2-3; 143-24-1; 5-12
69-3; 143-25-2; 5-18; synthenti
69-4; 143-26-5; 6-16-Dir
69-5-1; 143-27-7; 69-2-2
69-5-2; 143-28-9; 5-12
69-6-1; 143-29-9; 5-7-Cor; only "anapalin"
69-6-2; 143-29-10; 5-18+; synthenti
69-6-3; 143-29-12; 6-16-Dir
69-7; 143-31-4; 69-4
69-8-1; 143-32-9; (5-7-cor-1), 5-16+; enallax from ratio of equality
69-8-2; 143-34-8; 6-1, 5-11

70-1; 145-1-1; explanatio
70-2; 145-3-1; ekthesis
70-3; 145-3-14; diorismus1
70-4; 145-5-2; 1-10
70-5; 145-5-10; (1-com-2),2-5
70-6; 145-6-13; 2-5
70-7-1; 145-8-7; 1-com-1
70-7-2; 145-10-2; 2-6,1-com-A
70-8; 145-11-2; 1-com-3+*
70-9; 145-12-1; *1-com-3+,sumperasma

71-1; 145-14-1; ekthesis
71-2; 145-15-3; diorismus1; secundum Commandinum
71-3; 145-16-5; 1-10
71-4-1; 145-16-13; 2-6
71-4-2; 145-17-14; 2-6, 1-com-1; secundum Commandinum
71-4-3; 145-19-3; 2-6,1-com-A; secundum Commandinum
71-5; 145-19-11; 1-com-3+*
71-6; 145-20-5; *1-com-3+, sumperasma; secundum Commandinum

72-1-1; 145-22-1; ekthesis
72-1-2; 145-22-3; diorismus1
72-2; 145-24-6; 1-2
72-3; 145-24-13; 1-com-2+*
72-4; 145-26-2; *1-com-2+,2-1,1-com-A
72-5-1; 145-27-6; 70
72-5-2; 145-28-6; 2-com-1
72-6; 145-28-11; 1-com-1
72-7; 145-29-12; 5-7-B*;"exothen" introducing a rectangle
72-8; 145-30-4; *5-7-B, 6-1, 5-11
72-9; 145-32-3; 5-18
72-10; 145-33-12; 71
72-11; 145-35-7; 5-11-x

73-1-1; 147-1-1; ekthesis
73-1-2; 147-1-3; diorismus1
73-2-1; 147-4-6; (analysis), 4-5, 1-post-2
73-2-2; 147-5-11; 3-36
73-2-3; 147-6-10; 3-36
73-2-4; 147-7-4; 5-16+, 5-11-x;
73-3; 147-9-1; 6-1, 5-11;
73-4; 147-10-8; 6-2-Conv;
73-5; 147-11-4
73-6; 147-11-6; 1-com-1; 1-com-2-conv
73-7; 147-13-3; 3-22-x
73-8; 147-14-2; 3-21
73-9; 147-15-1; 1-com-1
73-10; 147-15-13; 1-27*
73-11; 147-16-3; *1-27
73-12; 147-16-10; 73-4; end of analysis
73-13; 147-17-3; sumperasma

74-1; 147-18-1; explanatio
74-2; 147-19-1; ekthesis
74-3; 147-20-4; diorismus1
74-4; 147-21-10; 1-31
74-5; 147-22-5; 1-29,1-com-2-conv
74-6; 147-23-3; 6-4-x
74-7-1; 147-23-13; 6-4
74-7-2; 147-24-15; 6-4
74-7-3; 147-25-10; 6-23-lem
74-8-1; 147-28-11; 6-23, 5-11-x
74-8-2; 147-30-5; 6-23
74-9; 147-32-4; 5-11, sumperasma

75-1; 149-1-1; ekthesis
75-2; 149-2-2; diorismus1
75-3; 149-3-9; 1-31, 1-post-5
75-4; 149-5-2; 1-29
75-5; 149-5-8; 75-1
75-6; 149-6-1; 6-8-Cor, 6-17-Dir
75-7; 149-6-11; 5-7-B
75-8; 149-8-2; 6-23, 6-4, 6-23-lem; replacement of terms by "toutestin"
75-9; 149-10-11; 6-23
75-10; 149-13-1; 5-11-x, sumperasma

76-1; 149-15-1; diorismus1;
76-2; 149-17-5; 2-14
76-3; 149-19-7; 76-2, 6-4-x-conv
76-4; 149-21-3; 1-com-1, 6-4-x-conv
76-5; 149-22-13; 76-3
76-6; 149-23-10; 1-com-2+
76-7; 149-24-7; 1-32-B
76-8; 149-25-6; 1-com-A
76-9; 149-26-6; 74
76-10-1; 149-28-7; (6-4, 6-22-Dir), =76-4, (6-1, 5-11)
76-10-2; 149-30-2; 5-11, sumperasma

77-1; 151-1-1; explanatio
77-2-1; 151-3-1; ekthesis
77-2-2; 151-3-11; diorismus1
77-3-1; 151-5-5; 6-16-Conv
77-3-2; 151-6-4; 5-12
77-4-1; 151-7-4; 6-16-Conv
77-4-2; 151-8-5; 5-19-x
77-5; 151-9-5; 77-3-2
77-6; 151-10-4; 6-23-lem, 6-23-def, 6-23, 5-11
77-7; 151-15-1; sumperasma
77-8; 151-16-5; QED

78-1; 151-17-1; explanatio
78-2-1; 151-17-4; 6-16-Conv
78-2-2; 151-18-8; 5-19
78-3; 151-19-9; 5-18
78-4; 151-21-1; 6-16-Dir
78-5-1; 151-22-5; 6-16-Conv
78-5-2; 151-23-7; 5-19-x
78-6; 151-24-12; 5-18
78-7; 151-26-3; 6-16-Dir
78-8-1; 151-27-6; 78-4
78-8-2; 151-28-12; <5-7-cor-1, 5-16>; "enallax" should be added to Commandino, see 69-8 and 80-11-1
78-8-3; 151-30-8; 6-1
78-9-1; 151-31-13; QED

79-1; 153-1-1; explanatio
79-2-1; 153-2-1; ekthesis
79-2-2; 153-3-1; diorismus1
79-3; 153-4-5; 1-10
79-4; 153-4-13; 2-5
79-5; 153-5-14; 2-5
79-6; 153-6-13; 1-com-1, 2-5, 1-com-A
79-7; 153-9-2; 1-com-3+*
79-8; 153-9-8; *1-com-3+,sumperasma

80-1-1; 153-11-1; explanatio
80-1-2; 153-11-3; ekthesis
80-2; 153-12-6; diorismus1
80-3; 153-13-10; 1-2
80-4; 153-14-2; 79
80-5; 153-15-9; 1-com-3+
80-6; 153-17-3; 2-com-1, 1-com-1
80-7; 153-18-7; 80-1-2, 6-16-Conv, 5-17+, 5-11-x
80-8; 153-21-1; 5-12
80-9; 153-22-1; 6-16-Dir
80-10; 153-22-12; 80-6
80-11-1; 153-23-12; <5-7-cor-1, 5-16+>; enallax from ratio of equality
80-11-2; 153-24-13; 6-1, 5-11

81-1; 153-26-1; explanatio
81-2; 153-27-2; ekthesis
81-3; 153-29-2; diorismus1
81-4; 153-31-1; 4-5
81-5; 153-32-4; 81-2, 3-31-conv
81-6; 153-34-1; 1-def-17;
81-7; 153-34-6; (1-31, 1-26, 6-4, 5-11-x); See Jones 2:420. special case of Menelaus.
81-8; 155-1-1; 5-7-Cor
81-9; 155-2-2; 6-1, 3-35, 5-11-x
81-10; 155-4-3; 6-1, 3-35, 5-11-x
81-11; 155-6-1; 5-11, 5-16+
81-12; 155-7-9; QED

82-1-1; 155-8-1; explanatio
82-1-2; 155-8-6; diorismus1
82-2; 155-10-2; 1-11, 2-14
82-3; 155-12-7; <6-16-Conv, 6-8-Cor-conv>
82-4; 155-13-6; 81
82-5; 155-15-12; <6-8, 6-1, 5-11-x>; or 6-19
82-6; 155-16-12; 5-11

83-1; 155-18-1; explanatio
83-2; 155-19-1; ekthesis
83-3; 155-20-9; diorismus1
83-4-1; 155-21-12; 83-2
83-4-2; 155-22-10; 6-16-Conv, 5-19, 5-19-Cor, (5-7-Cor); secundum Commandinum
83-5; 155-24-11; 6-16-Dir
83-6-1; 155-26-3; 6-16-Conv; secundum Hultsch
83-6-2; 155-27-4; 5-19-x
83-7; 155-28-4; 5-17+
83-8; 155-29-9; 6-16-Dir
83-9; 155-30-11; 83-5
83-10-1; 155-32-4; (5-7-cor-1), 5-16+ ; enallax
83-10-2; 155-34-3; 6-1, (5-11)

84-1; 157-1-1; explanatio;
84-2; 157-2-1; 6-16-Conv
84-3; 157-3-1; 5-19
84-4-1; 157-4-1; 6-16-Conv
84-4-2; 157-5-2; 5-19-x
84-5; 157-6-2; 6-23-lem, 6-23-def, 6-23, 5-11

85-1; 157-10-1; explanatio
85-2-1; 157-11-1; <1-10, 1-post-3>
85-2-2; 157-11-8; 3-17
85-3; 157-12-11; 3-36
85-4; 157-14-5; <=83-2
85-5; 157-15-2; 1-com-1
85-6; 157-16-2; 6-4-x-conv
85-7; 157-17-2; 3-32
85-8; 157-18-1; 1-com-3+,1-32-A,1-com-1
85-9; 157-19-2; Pappus-6-12
85-10; 157-20-9; (=85-7, 6-4, 6-22-Dir, 6-1, 5-11); r(AB, BE)=q(BZ) cf. 76-10-1
85-11; 157-21-9; 5-11

86-1; 157-23-1; explanatio; secundum Simson
86-2-1; 157-25-1; ekthesis
86-2-2; 157-25-12; diorismus1
86-3-1; 157-27-4; 6-16-Conv
86-3-2; 157-28-4; 5-19-x; additional explanation deleted by Hultsch
86-4; 157-29-9; <6-16-Conv, 5-19-x>
86-5; 157-30-12; 5-7-Cor
86-6; 157-31-1; 6-23-lem, 6-23-def, 6-23
86-7; 157-35-7; 5-11

87-1; 159-1-1; explanatio
87-2-1; 159-2-1; 6-16-Conv
87-2-2; 159-3-1; 5-19-x
87-3; 159-4-1; 5-19-Cor
87-4; 159-5-8; 6-16-Dir
87-5-1; 159-6-12; 5-19
87-5-2; 159-8-2; 5-17+
87-6; 159-9-4; 6-16-Dir
87-7; 159-10-7; 5-7-cor-1, 5-16, ; lacking enallax; see 80-11-1, 69-8-1, 83-10
87-7-2; 159-12-3; 6-1, (5-11)
87-8; 159-13-5; QED

88-1; 159-14-1; explanatio
88-2-1; 159-15-1; <1-10, 1-post-3>
88-2-2; 159-15-8; 3-17
88-3-1; 159-16-10; =86-2-1
88-3-2; 159-17-8; 3-36
88-3-3; 159-18-7; 1-com-1
88-4; 159-19-6; 6-4-x-conv
88-5; 159-20-2; 3-32
88-6; 159-20-13; 1-com-3+, 1-32-A, 1-com-1
88-7; 159-21-13; Pappus-6-12-x; modification necessary. see Eecke 2:382 n.1, see also 94-4
88-8; 159-23-3; (=88-5, 6-4, 6-22-Dir, 6-1, 5-11)
88-9; 159-24-4; 5-11

89-1; 159-26-1; ekthesis
89-2; 159-28-1; diorismus1
89-3; 159-28-12; 1-2
89-4-1; 159-29-4; 5-17+, 2-6, 5-11-x
89-4-2; 159-30-8; 2-com-1, 5-11-x
89-5; 159-30-13; 6-1
89-6; 159-32-13; 5-11
89-7; 159-34-7; 5-9-B
89-8; 161-1-4; 6-16-Conv, 5-18, 5-11-x
89-9; 161-2-12; 5-12
89-10; 161-3-15; 6-17-Dir
89-11; 161-4-10; QED

90-1; 161-5-1; ekthesis
90-2; 161-6-7; diorismus1
90-3; 161-7-3; 1-2
90-4; 161-7-9; 5-17+, 6-1, 5-11-x, 2-6; kata diairein
90-5; 161-10-2; 5-9-B
90-6; 161-11-1; 6-16-Dir, 5-17+, 5-11-x
90-7; 161-12-10; 5-19-x
90-8; 161-13-11; 6-17-Dir

91-1; 161-15-2; ekthesis
91-2; 161-17-5; diorismus1
91-3; 161-18-10; ; kataskeue, see 68.
91-4; 161-20-1; 68
91-5; 161-21-6; 91-1
91-6; 161-22-12; 5-11
91-7; 161-23-13; 89, <91-3, 1-com-1>
91-8; 161-24-11; <6-16-Conv, 5-12, 6-22-Dir, 5-11-x, 6-1, 5-11>; ? see 93-8
91-9; 161-25-15; 68
91-10; 161-27-2; 5-11

92-1; 163-1-1; explanatio
92-2; 163-2-1; <1-10, 1-post-3>
92-3-1; 163-3-9; <3-31, 1-com-A>; ?
92-3-2; 163-4-7; 73
92-4; 163-5-13; <=91-1
92-5; 163-7-1; 5-11
92-6; 163-8-2; 6-22-Conv
92-7; 163-9-1; 6-3-Conv
92-8; 163-9-11; 1-post-2, <92-3-1, 1-com-2-conv>
92-9; 163-11-4; 1-com-2+
92-10; 163-12-4; 6-3-x-conv
92-11; 163-13-5; 6-22-Dir
92-12; 163-13-12; 73
92-13; 163-14-14; 5-11
92-14; 163-16-3; QED

93-1; 163-17-1; ekthesis
93-2; 163-18-9; diorismus1
93-3; 163-19-13; ; kataskeue
93-4; 163-21-6; 86
93-5; 163-22-9; 93-1
93-6; 163-23-13; 5-11
93-7; 163-24-14; 89, 93-3, 1-com-1
93-8; 163-26-1; <6-16-Conv, 5-19, 6-22-Dir, 5-11-x, 6-1, 5-11>; ? see also 91-8
93-9; 163-27-2; 83
93-10; 163-28-4; 5-11
93-11; 163-29-8; QED

94-1; 165-1-1; explanatio
94-2; 165-2-1; <1-10, 1-post-3>
94-3; 165-3-8; <3-31, 1-com-3>
94-4; 165-4-6; Pappus-6-12-x; see also 88-7
94-5; 165-5-11; =93-1
94-6; 165-6-14; 5-11
94-7; 165-8-1; 6-22-Conv
94-8; 165-8-15; 6-3-Conv
94-9; 165-9-11; 94-3
94-10; 165-10-9; 1-com-2+
94-11; 165-11-8; <6-3-Dir, 6-22-Dir>
94-12; 165-12-11; Pappus-6-12
94-13; 165-13-13; 5-11
94-14; 165-15-3; QED

95-1; 167-2-1; ekthesis
95-2; 167-4-8; diorismus1
95-3; 167-7-4; 6-16-Conv, 5-7-Cor, 5-12, 5-18, 5-11-x
95-4; 167-10-4; 6-16-Dir
95-5; 167-11-2; 5-12, 5-18, 5-11-x
95-6; 167-14-1; 6-16-Dir
95-7; 167-14-12; similiter; See 95-5 to 95-6
95-8; 167-15-3; sumperasma

96-1; 167-16-1; ekthesis
96-2; 167-17-2; ekthesis
96-3; 167-17-11; diorismus1
96-4; 167-21-1; 6-16-Conv, 5-7-Cor, 5-19, 5-18
96-5; 167-24-4; 96-2
96-6; 167-25-1; 5-11-x
96-7; 167-25-15; 6-16-Dir
96-8; 167-26-10; 96-4, 5-19-x; in 96-4 after 6-16-Conv
96-9; 167-28-11; 5-18, 5-11-x
96-10; 167-30-5; 6-16-Dir
96-11; 167-31-1; similiter; See above. 5-19, 5-19-x, 5-18, 5-11-x, 6-16-Dir
96-12; 167-31-10; sumperasma

97-1; 169-1-1; ekthesis
97-2-1; 169-2-8; ekthesis
97-2-2; 169-3-6; diorismus1
97-3; 169-6-1; 6-16-Conv; 5-19; 5-19-Cor
97-4; 169-8-12; 97-2-1
97-5; 169-9-6; (5-11-x), 6-16-Dir;
97-6; 169-10-1; 5-19-x, 5-17+
97-7; 169-12-7; 6-16-Dir, 2-com-1
97-8; 169-13-12; similiter; See above. 5-17, 5-19-Cor, 6-16-Dir, 2-com-1
97-9; 169-14-8; sumperasma

98-1; 169-15-1; explanatio, ekthesis
98-2-1; 169-18-4; 95, 96, 97
98-2-2; 169-19-14; 5-7-cor-1, 5-16; lacking enallax
98-2-3; 169-20-11; 6-1, (5-11)
99-1; 171-1-1; explanatio
99-2; 171-3-1; ekthesis
99-3; 171-4-6; ekthesis, diorismus1
99-4; 171-6-5; 95,1-com-3+*; 4th conclusion of 95
99-5; 171-7-12; 2-1,*1-com-3+
99-6; 171-9-7; 2-1,1-com-3+
99-7; 171-11-12; 2-1,1-com-3+
99-8; 171-14-6; sumperasma
99-9; 171-15-7; QED

100-1; 171-16-1; explanatio
100-2; 171-17-1; ekthesis
100-3; 171-17-10; diorismus1
100-4; 171-18-12; 95,1-com-2+*; The last result of 95
100-5; 171-20-7; *1-com-2+
100-6; 171-21-3; 2-1
100-7; 171-23-4; 1-com-A
100-8; 171-24-6; 2-1
100-9; 171-25-6; 1-com-A
100-10; 171-26-6; 1-com-A
100-11; 171-26-12; sumperasma

101-1; 173-1-1; explanatio
101-2; 173-3-1; ekthesis
101-3; 173-3-10; diorismus1
101-4; 173-4-11; 95,1-com-2+*; The third result of 95
101-5; 173-6-2; *1-com-2+,1-com-A
101-6; 173-8-1; 2-1
101-7; 173-9-2; 1-com-A
101-8; 173-10-3; <1-com-A, 2-1>; ? vide 104-8
101-9; 173-11-10; 1-com-1,sumperasma

102-1; 173-14-1; explanatio
102-2; 173-16-1; ekthesis
102-3; 173-18-3; diorismus1
102-4; 173-19-2; 96,1-com-3+*; The second result of 96
102-5; 173-20-7; *1-com-3+
102-6; 173-21-13; 2-1,1-com-3+
102-7; 173-24-5; 2-1,1-com-3+; addition instead of substruction. See Jones, 2:427
102-8; 173-26-5; 1-com-1,sumperasma

103-1; 175-1-1; explanatio
103-2; 175-3-1; ekthesis
103-3; 175-3-11; diorismus1
103-4; 175-4-14; 96,1-com-2+*; The second result of 96
103-5; 175-6-6; *1-com-2+,2-1
103-6; 175-8-7; 2-1
103-7; 175-9-7; 1-com-A
103-8; 175-10-9; 2-1
103-9; 175-11-9; 2-1
103-10; 175-12-8; 1-com-A,sumperasma

104-1; 175-14-1; explanatio
104-2; 175-16-1; ekthesis
104-3; 175-16-10; diorismus1
104-4; 175-17-11; 96,1-com-2+*; The third result of 96
104-5; 175-19-4; *1-com-2+,2-1
104-6; 175-21-4; 2-1
104-7; 175-22-4; 1-com-A
104-8; 175-23-5; <1-com-A, 2-1>; ? vide 101-8
104-9; 175-24-10; 1-com-1,sumperasma
104-10; 175-25-9; QED

105-1; 177-1-1; explanatio
105-2; 177-3-1; ekthesis
105-3; 177-5-7; diorismus1
105-4; 177-6-8; 97,1-com-2+*; The third result of 97
105-5; 177-7-11; *1-com-2+,2-1
105-6; 177-9-12; 2-1
105-7; 177-10-13; 1-com-A
105-8; 177-12-11; 1-com-B, 2-1
105-9; 177-14-5; 1-com-A
105-10; 177-15-7; <1-com-A, 2-1>; ? vide 101-8
105-11; 177-16-11; 1-com-1,sumperasma
105-12; 177-17-11; QED

106-1; 177-18-1; explanatio
106-2; 177-20-1; ekthesis
106-3; 177-21-1; diorismus1
106-4; 177-22-3; 97,1-com-2+*; second conclusion in 97
106-5; 177-23-6; *1-com-2+,2-1
106-6; 177-24-8; 2-1
106-7; 177-26-9; 1-com-A
106-8; 177-28-6; 1-com-B, 2-1; (a-b)c+bc=ac. See also 105-8
106-9; 177-29-14; 1-com-A
106-10; 177-31-1; 2-1
106-11; 177-33-1; 1-com-A*; eixomen de kai to hypo EZB
106-12; 177-33-7; *1-com-A,sumperasma
106-13; 177-34-7; QED

107-1; 179-1-1; explanatio
107-2; 179-3-1; ekthesis
107-3; 179-3-9; diorismus1
107-4; 179-4-9; 97,1-com-3+*; The second result of 97
107-5; 179-6-1; *1-com-3+,2-1
107-6; 179-8-4; 1-com-2-x+,2-1; 179-11-5, BetaGamma insted of BetaZeta
107-7; 179-12-12; 1-com-1,sumperasma

108-1; 179-14-1; explanatio
108-2; 179-16-1; ekthesis
108-3; 179-16-7; diorismus1
108-4; 179-17-8; 97,1-com-3+*; The second result of 97
108-5; 179-19-1; *1-com-3+,2-1
108-6; 179-20-6; 1-com-2-x+,2-1
108-7; 179-22-8; 1-com-B; vide 105-8 and 106-8
108-8; 179-23-5; 1-com-2-x+,2-1
108-9; 179-25-7; 1-com-1,sumperasma

109-1; 181-1-1; explanatio
109-2; 181-3-1; ekthesis
109-3; 181-3-10; diorismus1
109-4; 181-4-11; 97,1-com-2+*; The third result of 97
109-5; 181-6-1; *1-com-2+
109-6; 181-7-3; 2-1
109-7; 181-9-11; 2-1
109-8; 181-11-2; 1-com-A
109-9; 181-12-2; QED

110-1; 181-13-1; explanatio
110-2; 181-15-1; ekthesis
110-3; 181-15-8; diorismus1
110-4; 181-16-8; 97,1-com-2+*; first coclusion of 97
110-5; 181-18-1; *1-com-2+
110-6; 181-19-8; 2-1; secundum Jones
110-7; 181-21-6; 1-com-1
110-8; 181-22-11; 1-com-2-x+
110-9; 181-24-11; 1-com-1
110-10; 181-25-10; sumperasma
110-11; 181-26-8; QED

111-1; 183-1-1; explanatio
111-2; 183-3-1; ekthesis
111-3; 183-4-5; diorismus1; vide 249
111-4-1; 183-5-4; 2-1, 1-com-A
111-4-2; 183-7-6; 1-com-B-conv, 2-com-1
111-5; 183-9-9; 2-1
111-6; 183-10-1; sumperasma

112-1; 183-11-1; explanatio
112-2; 183-13-1; ekthesis
112-3; 183-14-6; diorismus1
112-4; 183-15-5; 2-1,1-com-2+*
112-5; 183-17-6; *1-com-2+
112-6-1; 183-19-4; 2-1,2-com-1
112-6-2; 183-21-6; 2-1
112-7; 183-22-7; 1-com-A; or 1-com-1

113-1; 185-1-1; explanatio
113-2-1; 185-4-1; ekthesis
113-2-2; 185-6-3; diorismus1
113-3; 185-7-14; 1-post-1
113-4; 185-8-10; 3-31, 6-8
113-5-1; 185-10-2; 3-22-conv,3-21
113-5-2; 185-10-13; 1-post-1,3-21,3-22-conv,3-21
113-6; 185-12-2; 1-com-1
113-7; 185-12-11; 6-4-x
113-8; 185-13-6; 6-8-x,1-com-3+*
113-9; 185-14-4; *1-com-3+,2-1,1-47
113-10; 185-15-1; 6-8-x,1-com-3+,113-7,2-1,1-47
113-11; 185-17-7; sumperasma

114-1; 185-18-1; explanatio
114-2; 185-20-1; ekthesis
114-3; 185-22-1; diorismus1
114-4; 185-22-10; 1-post-2,1-post-1
114-5; 185-23-13; 1-4,1-15,1-com-1
114-6; 185-24-13; 3-22
114-7; 185-25-11; 1-com-2-conv
114-8; 185-26-8; 3-22-conv
114-9; 185-27-6; 1-4; see 114-5
114-10; 185-28-5; 1-15
114-11; 185-29-4; 1-32-cor-3
114-12; 185-30-1; 114-2
114-13; 185-30-6; 1-com-1,sumperasma
114-14; 185-31-1; similiter; 114-9 to 114-13
114-15; 185-31-12; sumperasma
114-16; 185-32-8; QED

115-1; 187-1-1; explanatio
115-2; 187-3-1; ekthesis
115-3; 187-6-3; diorismus1
115-4; 187-8-7; <1-10,1-post-3>,1-11
115-5; 187-9-7; 115-2,6-8-x,5-11-x,6-22-Conv; mekei
115-6; 187-12-10; <6-6, 1-14-x>; the line Z;E;H straight
115-7-1; 187-13-5; 1-post-1,1-post-2,1-12
115-7-2; 187-15-5; 114
115-8; 187-17-5; 1-com-3
115-9; 187-18-12; 1-post-1,1-post-2
115-10; 187-19-10; 3-31,3-21,1-32-cor-3
115-11; 187-22-1; 6-4,5-11-x
115-12; 187-23-8; 6-22-Dir, (6-1,5-16,5-11-x), 3-35,5-11-x; if a:b=c:d, then a^2:b^2=ac:bd>
115-13; 187-25-11; 115-2,115-8
115-14; 187-29-5; sumperasma
115-15; 187-31-12; QED

116-1; 189-1-1; explanatio
116-2-1; 189-3-1; ekthesis
116-2-2; 189-5-2; diorismus1
116-3; 189-7-12; 1-1,2-14,1-post-3,1-31
116-4-1; 189-9-12; 116-2-1,6-4,6-22-Dir,5-11
116-4-2; 189-11-13; 116-3,5-11-x,5-9-B
116-5; 189-13-5; 1-post-1
116-6; 189-13-12; (<=116-4-2), 6-4-x-conv
116-7; 189-15-5; (<=116-4-2), 6-4-x-conv
116-8; 189-16-1; 1-29,
116-9; 189-16-11; 1-32-A,1-com-2
116-10; 189-18-7; 3-22-x-conv
116-11; 189-19-4; 114
116-12; 189-20-7; 1-12,1-post-1,1-post-2
116-13; 189-21-12; 114-conv;orthocenter
116-14; 189-22-10; 1-post-1,1-post-2; see Jones
116-15; 189-23-8; 116-3,1-29
116-16; 189-24-4; 116-12; additional explanation for 116-15
116-17; 189-24-11; 6-4-x-conv; repeats 116-4-2, 116-7
116-18; 189-26-4; 114-conv,3-21; orthocenter; see Jones
116-19; 189-27-2; 1-29
116-20; 189-28-1; 1-com-1
116-21; 189-28-11; 6-4-x
116-22; 189-29-7; <1-47, 1-com-2-x>
116-23; 189-32-2; 2-1,1-com-A
116-24; 189-33-1; 1-com-1
116-25; 189-33-13; =116-21
116-26; 189-34-9; 1-com-A,2-1
116-27-1; 189-35-6; <1-47, 1-com-2-x>
116-27-2; 189-36-10; 116-4-2,2-1,1-com-A,1-com-1; see 116-23 to 116-24
116-28; 191-2-10; 116-25
116-29; 191-3-6; 1-com-A,2-1
116-30; 191-4-3; 116-26
116-31; 191-5-1; 1-com-2
116-32; 191-6-8; 6-4, 6-16-Dir
116-33; 191-8-2; 5-7-A
116-34; 191-9-6; (6-23, 6-23-lem); see also 115-12
116-35; 191-10-9; 5-11
116-36; 191-11-14; sumperasma
116-37; 191-14-9; sumperasma

117-1; 193-1-1; explanatio; see 111-112
117-2; 193-3-1; ekthesis
117-3; 193-4-2; diorismus1
117-4-1; 193-4-13; 2-3,2-2,2-com-1
117-4-2; 193-8-3; 1-com-A
117-5; 193-9-2; 2-1
117-6; 193-10-5; 2-1
117-7; 193-11-4; 1-com-A,2-com-1
117-8; 193-12-10; 1-com-A,sumperasma
117-9; 193-13-6; QED

118-1; 193-14-1; explanatio
118-2; 193-16-1; ekthesis
118-3; 193-19-1; diorismus1
118-4; 193-22-3; <1-10,1-post-3>,1-12
118-5-1; 193-23-6; 118-2
118-5-2; 193-24-13; 3-35
118-5-3; 193-26-6; 5-11
118-6; 193-27-9; 6-22-Conv
118-7; 193-27-11; 1-28
118-8; 193-28-5; 6-32; three points on a line
118-9; 193-30-3; 3-36,5-11-x
118-10; 193-33-8; 6-6, 6-1, 5-16, 6-22-Dir, 5-11; cf. 115-2
118-11; 195-2-9; 3-22-conv
118-12; 195-4-2; 6-2-Dir,6-22-Dir
118-13; 195-5-9; 5-11,
118-14; 195-6-12; 113
118-15; 195-8-1; 5-11-x,sumperasma

120-1; 197-2-1; explanatio
120-2; 197-3-1; ekthesis
120-3; 197-4-1; diorismus1
120-4; 197-4-8; 1-10
120-5; 197-5-9; 1-com-6-ineq
120-6; 197-6-7; 2-com-2-r,1-com-4
120-7; 197-9-2; 2-6
120-8; 197-11-1; 1-com-A-2
120-9; 197-11-11; 2-com-2-v
120-10; 197-12-6; 1-com-A-2; cf.120-5
120-11; 197-12-14; 1-com-4-x,sumperasma
120-12; 197-13-8; similiter

121-1; 197-16-1; ekthesis, 1-10
121-2; 197-17-5; adfirmatio
121-3; 197-18-9; 2-com-1,6-27; explanation for 121-2
121-4; 197-20-4; 6-28
121-5; 197-21-7; diorismus1
121-6; 197-22-11; 1-com-6-ineq,1-com-T; transitivity of inequality
121-7; 197-24-4; 6-16-Conv, (5-14-a); text incomplete
121-8; 197-25-4; QED

122-1; 197-26-1; ekthesis
122-2; 197-28-8; diorismus1
122-3; 197-29-1; 1-10
122-4; 197-29-12; 1-com-6-ineq,2-com-2-r
122-5; 199-1-3; 2-5
122-6; 199-2-7; 2-5
122-7; 199-3-6; 1-com-A-ineq
122-8; 199-4-10; 122-1
122-9; 199-5-5; 1-com-4-v+
122-10; 199-6-4; 2-com-2-v
122-11; 199-6-11; 122-4
122-12-1; 199-7-4; 1-com-4-x+
122-12-2; 199-7-13; <6-16-Conv,5-14-a>; added affirmation?

123-1; 199-9-1; ekthesis
123-2; 199-11-2; adfirmatio
123-3; 199-12-7; 1-com-or; for 123-2
123-4; 199-14-1; 1-com-6-ineq,2-com-2-r; for 123-2
123-5; 199-15-10; 1-com-T; for 123-2
123-6; 199-17-2; 2-5-x; for 123-2
123-7; 199-18-1; 6-27; for 123-2
123-8; 199-19-4; 6-28
123-9; 199-20-11; diorismus1
123-10; 199-21-6; 1-com-or; vide 123-3
123-11; 199-22-7; case
123-12; 199-23-1; 1-com-6-ineq,1-com-A-ineq; 1-com-T?
123-13; 199-25-6; 6-16-Conv; I take codex A, against Hultsch and Jones.
123-14; 199-26-4; alter(5-14-a|5-14); see above 123-13. Codex A requires 5-14-a; Hultsch and Jones, 5-14.
123-15; 199-26-11; 1-com-D, sumperasma;

124-1-1; 201-1-1; ekthesis
124-1-2; 201-1-8; 1-10
124-2; 201-2-13; 1-com-6-ineq
124-3; 201-4-13; 2-com-2-r
124-4; 201-5-8; 2-5
124-5; 201-7-11; 1-com-A-ineq
124-6; 201-8-15; =123-8
124-7; 201-9-10; 1-com-4-v
124-8; 201-10-6; 2-com-2-v
124-9; 201-11-1; 1-com-6-ineq
124-10; 201-11-9; 1-com-4-x+
124-11; 201-12-3; 6-16-Conv; Commandinum sequimur
124-12; 201-13-4; 5-14-a
124-13; 201-13-11; 1-com-D, sumperasma
124-14; 201-14-6; QED

125-1; 201-15-1; explanatio
125-2; 201-16-1; ekthesis
125-3; 201-17-2; diorismus1
125-4; 201-17-10; 1-10
125-5; 201-18-9; 1-com-6-ineq
125-6; 201-19-1; 2-com-2-r,1-com-4,2-6,1-com-A-ineq
125-7; 201-22-5; 2-com-2-v
125-8; 201-23-1; 1-com-6-ineq
125-9; 201-23-9;1-com-4-x,sumperasma
125-10; 201-24-3; similiter; greater case instead of lesser

126-1; 203-1-1; explanatio
126-2-1; 203-2-1; ekthesis,6-13
126-2-2; 203-3-6; 1-post-3,1-post-2
126-3; 203-5-10; 1-post-1
126-4-1; 203-6-5; <1-4, 1-34>; angle of rhombus
126-4-2; 203-7-3; (3-3-Dir); see Jones 2:436
126-5; 203-8-8; 1-def-15
126-6; 203-9-2; 1-8
126-7; 203-10-1; 1-5
126-8; 203-10-10; 1-com-1
126-9; 203-11-5; 6-6; cf. 6-4-x-conv
126-10; 203-11-14; 1-com-1
126-11; 203-12-9; 1-15,1-com-1
126-12; 203-13-5; 1-32-cor-3; loipe
126-13; 203-14-3; (126-8),3-21-conv,3-22
126-14; 203-15-3; 1-com-A
126-15; 203-16-5; 1-14;

127-1; 203-18-1; explanatio
127-2; 203-20-1; ekthesis
127-3; 203-21-4; diorismus1
127-4; 203-22-5; 1-31
127-5; 203-23-2; 1-29
127-6; 203-23-9; =127-2
127-7; 203-24-3; 1-com-3,1-29
127-8; 203-25-8; 1-29
127-9; 203-26-7; 1-34
127-10; 203-26-14; 1-26
127-11; 203-27-8; 1-47,3-36-x,1-com-3+,2-2
127-12; 203-31-8; 2-3
127-13; 203-33-4; 3-36-x,1-com-A
127-14; 203-34-8; 1-com-3+*
127-15; 203-35-2; *1-com-3+,2-3,2-com-1,1-com-A

#128-0; 205; analysis
128-1; 205-1-1; problema
128-2; 205-2-1; ekthesis
128-3; 205-3-5; fiat,1-11
128-4; 205-4-7; 127,Data-52,Data-3
128-5; 205-7-5; Data-55
128-6; 205-7-12; Data-3
128-7; 205-8-7; <=128-2
128-8; 205-8-11; Data-def-6
128-9; 205-9-9; 3-31
128-10; 205-10-3;
128-11; 205-10-9; <=128-2
128-12; 205-11-4; Data-25
128-13; 205-11-7; <=128-2
128-14; 205-12-2; Data-26

129-1; 205-13-1; explanatio; synthesis for 128
129-2; 205-13-6; 2-14
129-3; 205-15-10; 2-com-2-conv
129-4; 205-16-5; 2-com-2-rec1
129-5; 205-17-1; 6-8-x
129-6; 205-18-2; 1-post-3,1-post-2,1-post-1
129-7; 205-19-9; 127
129-8; 205-20-8; <=129-2
129-9; 205-21-9; 1-com-1
129-10; 205-22-10; 1-com-3
129-11; 205-23-7; 2-com-2-v
129-12; 205-23-14; Data-def-1
129-13; 205-24-5; sumperasma
129-14; 205-25-1; adfirmatio; uniqueness
129-15; 205-25-6; 1-post-1
129-16-1; 205-25-13; hypothesis; reductio ad absurdum
129-16-2; 205-26-14; <1-47,2-com-2-v>
129-17; 205-27-6; 1-com-4
129-18; 205-27-14; absurdum
129-19; 205-28-2; <1-47,2-com-2-v>; for 129-18
129-20; 205-28-6; ; refutation of 129-16-1
129-21; 205-29-2; sumperasma; for 129-14
129-22; 205-30-1; problema; which is greater
129-23; 205-31-2; <=129-19,<=129-16,1-com-4-xv
129-24; 205-32-9; sumperasma; for 129-22

130-1; 207-1-1; explanatio
130-2; 207-3-1; 1-10
130-3; 207-4-2; diorismus1
130-4; 207-5-4; 1-post-1,1-post-2
130-5; 207-6-8; diorismus1; illustrated
130-6; 207-7-1; 1-32-cor-1,1-5,1-com-A-ineq
130-7; 207-8-12; 1-23; smaller angle contained in greater one
130-8; 207-9-7; 6-4,1-19; used again in 130-19
130-9; 207-10-13; 5-14-a; used again in 130-19
130-10; 207-11-6; 1-com-T
130-11; 207-13-9; 5-25+
130-12; 207-16-3; 1-com-D
130-13; 207-16-10; 1-com-T
130-14; 207-17-5; similiter
130-15; 207-18-9; sumperasma
130-16; 207-20-1; diorismus1; nearler lesser
130-17; 207-21-2; 1-18,1-32-cor-1,1-com-T,1-23; cf.130-6 to 130-7
130-18; 207-22-5; ; for 130-17
130-19; 207-22-7; (6-4, 1-19, 5-14-a); cf.130-8 to 130-9
130-20; 207-23-8; 5-25; cf. 130-11
130-21; 207-24-1; 1-com-T, 1-com-D; cf.130-12 to 130-13
130-22; 207-25-2; sumperasma

131-1; 207-28-1; explanatio
131-2; 207-28-6; 1-post-1,1-12,diorismus1
131-3; 207-32-7; 1-4-x
131-4; 207-34-10; 130,sumperasma

132-1; 209-2-1; ekthesis
132-2; 209-3-6; diorismus1
132-3; 209-3-13; 1-10,1-12
132-4-1; 209-5-5; 1-28
132-4-2; 209-5-11; 3-3-Conv
132-5; 209-6-7; 1-def-15, 6-2-x2-eq
132-6; 209-8-1; =132-4-2
132-7; 209-8-8; 1-com-3+,sumperasma
132-8; 209-9-3; 1-com-2,sumperasma; enunciation added

133-1; 209-10-1; ekthesis
133-2; 209-12-4; diorismus1
133-3; 209-12-11; 1-10,1-post-1
133-4; 209-13-5; 1-28
133-5; 209-14-1; 1-28; for 133-4
133-6; 209-14-9; 1-def-15, 6-2-x2-eq
133-7; 209-16-7; QED

134-1; 209-17-1; explanatio
134-2; 209-18-1; ekthesis
134-3; 209-19-11; diorismus1
134-4; 209-20-3; (1-com-3,1-def-15);
134-5; 209-21-5; 1-10,1-12
134-6; 209-23-1; 3-3-Conv
134-7; 209-23-8; 1-post-1
134-8; 209-23-12; <3-31, 1-28>, 1-def-15, 6-2-Dir-eq
134-9; 209-25-8; 134-6
134-10; 209-25-15; 1-com-3+,sumperasma
134-11; 209-26-9; 1-com-2,sumperasma; enunciation added
134-12; 209-27-5; QED

135-1; 209-28-1; ekthesis
135-2; 209-30-1; diorismus1
135-3; 209-31-1; (1-com-3,1-def-15); center of semicircles coincide. cf.136
135-4; 209-32-1; 1-10,1-post-1
135-5; 211-1-5; 3-18
135-6; 211-2-1; 3-31
135-7; 211-2-7; 1-28
135-8; 211-3-1; 1-def-15
135-9; 211-3-8; 6-2-Dir-eq, sumperasma
135-10; 211-4-1; QED

136-1; 211-5-1; explanatio
136-2; 211-6-1; ekthesis
136-3; 211-8-5; diorismus1
136-4; 211-8-12; 1-10,1-12
136-5; 211-9-14; 3-3-Conv
136-6; 211-10-6; 1-post-1
136-7; 211-10-10; (3-31),1-28,(1-def-15,1-com-3),6-2-Dir-eq; 3-3-Conv is easier
136-8; 211-12-13; =136-5
136-9; 211-13-9; 1-com-3+,sumperasma
136-10; 211-14-3; QED
136-11; 211-15-1; 1-com-2,sumperasma; enunciation added
136-12; 211-16-1; QED

137-1; 211-17-1; explanatio
137-2; 211-18-1; ekthesis
137-3; 211-20-3; diorismus1
137-4; 211-20-10; 1-10,1-12
137-5; 211-22-1; 3-3-Conv
137-6; 211-22-8; 1-def-15,1-com-2
137-7; 211-23-16; (3-31),1-28
137-8; 211-24-8; 6-2-x2-eq
137-9; 211-25-2; =137-5
137-10; 211-25-9; 1-com-3+,sumperasma
137-11; 211-26-3; 1-com-2,sumperasma; enunciation added

138-1; 211-27-1; ekthesis
138-2; 211-28-3; diorismus1
138-3; 211-28-11; 1-def-15,1-post-1
138-4; 211-30-3; 3-18
138-5; 211-30-9; (3-31),1-28
138-6; 211-31-6; =137-6
138-7; 211-31-13; 6-2-x2-eq ,sumperasma
138-8; 211-32-6; QED

139-1; 213-1-1; explanatio
139-2; 213-2-1; ekthesis
139-3; 213-5-5; diorismus1
139-4; 213-5-13; 1-10,1-12
139-5; 213-7-5; 3-3-Conv
139-6; 213-7-12; 1-def-15,1-com-3+
139-7; 213-9-5; (3-31),1-27,1-28
139-8; 213-10-1; 6-2-x2-eq
139-9; 213-10-9; =139-5
139-10; 213-11-4; 1-com-3+,sumperasma
139-11; 213-12-1; 1-com-2,sumperasma; enunciation added

140-1; 213-13-1; explanatio
140-2; 213-14-1; ekthesis
140-3; 213-16-5; diorismus1
140-4; 213-16-12; 1-10,1-12
140-5; 213-18-4; 3-3-Conv
140-6; 213-18-11; 1-def-15,1-com-2+
140-7; 213-20-3; (3-31),1-27,1-28
140-8; 213-21-1; 6-2-x2-eq
140-9; 213-21-9; =140-5
140-10; 213-22-1; 1-com-3+,sumperasma
140-11; 213-22-10; 1-com-2,sumperasma; enunciation added
140-12; 213-23-7; QED

141-1; 213-24-1; explanatio
141-2; 213-25-3; diorismus1
141-3; 213-25-10; 1-10,1-post-1
141-4; 213-27-1; 3-18
141-5; 213-27-7; (3-31),1-27,1-28
141-6; 213-28-5; =140-6
141-7; 213-28-12; 6-2-x2-eq, sumperasma

142-1; 213-30-1; explanatio
142-2; 213-31-1; ekthesis,problema
142-3; 213-33-10; fiat
142-4; 213-33-11; 5-7-A
142-5; 215-1-12; 6-22-Dir
142-6; 215-2-14; 1-10, <3-18, 3-31, 1-28, 6-2-Dir>, 6-22-Dir
142-7; 215-5-5; 1-47, 1-com-B-conv
142-8; 215-6-2; 5-11-x
142-9; 215-7-10; 1-3,1-10
142-10-1; 215-8-13; 5-19-x+,2-6
142-10-2; 215-11-7; 6-1
142-10-3; 215-13-1; 2-A; a curious geometric algebra
142-11; 215-13-8; 1-44-x
142-12; 215-14-8; Data-52
142-13; 215-14-13; Data-def-1
142-14; 215-15-8; 1-com-6-Data
142-15; 215-15-12; Data-26
142-16; 215-16-4; Data-57
142-17; 215-16-10; <=142-10,5-11-x,5-15,6-1,6-16-Dir
142-18; 215-19-6; (Data-3,Data-26,Data-27,1-com-6-Data)
142-19; 215-20-1; DetSection-1-3-2
142-20; 215-22-9; supra
142-21; 215-23-3; supra
142-22; 215-24-2; Data-26,Data-def-6
142-23; 215-24-6; <=142-2
142-24; 215-25-6; Data-91,sumperasma
142-25; 215-25-10; sumperasma; another case
142-26; 215-26-7; QED

143-1; 215-27-1; synthesis
143-2; 215-27-6; ekthesis
143-3; 215-29-4; 1-44-x,1-3
143-4; 215-30-13; 1-10
143-5; 215-31-6; DetSection-1-3-2
143-6; 215-33-11; 1-post-3
143-7; 215-34-7; diorismus1
143-8; 215-35-2; 3-17
143-9; 215-35-9; diorismus1
143-10; 217-1-7; <=143-5,6-16-Conv
143-11; 217-3-6; 6-1,2-6,5-11-x
143-12; 217-5-6; 6-1,5-15,=143-3,2-A,5-11-x
143-13; 217-7-8; 5-11
143-14-1; 217-9-6; 5-12
143-14-2; 217-11-1; 1-def-15,3-18,1-47
143-15; 217-12-4; 5-11-x
143-16; 217-13-9; (3-31,3-18,1-28), 6-2-Dir, 6-22-Dir
143-17; 217-14-11; 5-11
143-18; 217-15-13; 5-9-A
143-19; 217-16-8; 2-com-1-v
143-20; 217-16-15; adfirmatio; proved in 143-20 to 143-26
143-21; 217-17-9; 143-10,143-12,143-13-2
143-22; 217-18-13; Data-def-6
143-23; 217-19-4; 1-com-8
143-24; 217-19-10; 5-14-a
143-25; 217-20-7; 2-com-1-v
143-26; 217-20-14; 1-com-T, 3-36-cor-1
143-27; 217-21-6; sumperasma

143b-1; 217-23-1; adfirmatio; uniqueness of the solution
143b-2; 217-23-6; 1-post-3,3-17; reductio ad absurdum
143b-3; 217-24-6; hypothesis;
143b-4; 217-25-8; 1-10,1-post-1
143b-5; 217-26-9; <=142
143b-6; 217-27-13; absurdum
143b-7; 217-28-3; DetSection; see Jones 441
143b-8; 217-29-1; ; refutation of 143b-3
143b-9; 217-29-9; similiter
143b-10; 217-30-9; sumperasma

144-1; 217-32-1; explanatio; which is greater
144-2; 217-33-4; Detsection, 6-16-ineq-conv; vide 143-7
144-3; 219-1-1; 143-12
144-4; 219-2-5; supra
144-5; 219-2-7; (6-1,2-6,5-11-x)
144-6; 219-3-12; 5-13
144-7-1; 219-5-12; 5-12-ineq
144-7-2; 219-7-1; 3-18,1-47,5-13-x
144-7-3; 219-9-1; (3-31,3-18,1-28,6-2-Dir),6-22-Dir,5-13
144-8; 219-9-9; 5-10-A,2-com-2-v
144-9; 219-11-1; adfirmatio
144-10; 219-13-6; 1-post-3,3-17,(1-44-x,1-3,1-10),1-com-6-ineq
144-11; 219-16-10; DetSection; cf. 143-7
144-12; 219-17-11; similiter; vide 144-1 to 144-8
144-13; 219-18-9; sumperasma
144-14; 219-20-3; supra

145-1; 221-1-1; explanatio
145-2; 221-2-1; ekthesis
145-3; 221-5-9; diorismus1
145-4; 221-6-4; 1-10,1-12
145-5; 221-7-10; 3-3-Conv
145-6; 221-8-2; 1-def-15,<=145-2,1-com-3+
145-7; 221-9-9; (3-31),1-28
145-8; 221-10-6; 6-2-x2-eq
145-9; 221-10-13; =145-5
145-10; 221-11-9; 1-com-3+,sumperasma
145-11; 221-12-3; 1-com-2,sumperasma; enunciation added
145-12; 221-12-11; QED

146-1; 221-13-1; explanatio
146-2; 221-14-1; ekthesis
146-3; 221-16-6; fiat
146-4; 221-16-7; 2-com-1,6-8-x
146-5; 221-17-14; 6-28,<1-10,1-post-3>
146-6; 221-21-7; 6-27; for 146-5
146-7; 221-22-9; ekthesis, adfirmatio; greater or lesser
146-8; 221-25-5; ?; text seems to be corrupt
146-9-1; 221-26-7; ?; text seems to be corrupt
146-9-2; 221-28-1; ?; text seems to be corrupt
146-10; 221-29-10; ?; text seems to be corrupt
146-11; 221-31-1; 146-8, 146-9, 146-10
146-12; 221-31-9; 2-5-x,6-8-x
146-13; 221-33-1; 1-com-A-ineq,2-com-2-v
146-14; 221-33-13; <=146-7
146-15; 223-1-6; 2-5-x,6-8-x
146-16; 223-3-3; 2-com-2-v
146-17; 223-3-10; similiter
146-18; 223-4-10; adfirmatio; generally
146-19; 223-6-9; sumperasma; for 146-7

147-1; 223-10-1; explanatio
147-2; 223-11-1; ekthesis
147-3; 223-12-10; diorismus1
147-4; 223-13-6; 1-10,1-12
147-5; 223-14-14; 3-3-Conv
147-6; 223-15-6; <=147-2,1-def-15,1-com-2+
147-7; 223-16-13; (3-31),1-28
147-8; 223-17-1; 6-2-x2-eq
147-9; 223-18-2; =147-5
147-10; 223-18-9; 1-com-3+,sumperasma
147-11; 223-19-2; 1-com-2; enunciation added

148-1; 223-20-1; ekthesis
148-2; 223-21-1; diorismus1
148-3; 223-21-9; 3-25, 1-post-1
148-4; 223-23-4; 3-18,
148-5; 223-23-10; (3-31),1-28,=147-6, 6-2-x2-eq
148-6; 223-25-9; QED

149-1; 223-26-1; explanatio
149-2; 223-27-1; ekthesis
149-3; 223-28-12; diorismus1
149-4; 223-29-7; 1-10,1-12
149-5; 223-30-8; 3-3-Conv
149-6; 223-31-1; <=149-2,1-def-15,1-com-2+
149-7; 223-32-6; (3-31),1-27,1-28
149-8; 223-33-3; 6-2-x2-eq
149-9; 223-33-11; =149-5
149-10; 225-1-1; 1-com-3+
149-11; 225-1-10; adfirmatio; 149 alone corrisponds 147 and 148
149-12; 225-2-2; (1-10,1-post-1,1-com-2,1-27,1-28, 6-2-x2-eq); for 149-11
149-13; 225-3-1; QED

#150-0; 225; Prolix expression throughout the proposition
150-1; 225-4-1; explanatio
150-2; 225-5-1; ekthesis
150-3; 225-6-6; diorismus1
150-4; 225-6-14; ; it's evident
150-5; 225-7-3; 1-post-1,3-31
150-6; 225-8-7; 1-def-15;
150-7; 225-9-8; 3-3-Conv
150-8; 225-10-2; QED

151-1; 225-11-1; explanatio
151-2; 225-12-1; ekthesis
151-3; 225-13-11; diorismus1
151-4; 225-14-3; (1-def-15,1-com-8); ? configuration of points and inequality of line segments
151-5; 225-15-8; 1-10
151-6; 225-15-11; 1-12
151-7; 225-16-4; 3-3-Conv
151-8; 225-16-11; <=151-2,1-def-15,1-com-3+
151-9; 225-18-2; (3-31),1-28
151-10; 225-18-10; 6-2-x2-eq
151-11; 225-19-6; =151-7
151-12; 225-19-16; 1-com-3+
151-13; 225-20-9; QED

152-1; 225-20-11; explanatio
152-2; 225-22-1; ekthesis
152-3; 225-23-4; diorismus1
152-4; 225-23-11; (1-def-15,1-com-8),1-10,1-12; (?) see also 151-4
152-5; 225-26-4; 3-3-Conv
152-6; 225-26-11; <=152-2,1-def-15,1-com-3; or 1-com-3+, according to completion of the text
152-7; 225-27-16; 1-28
152-8; 225-28-7; 6-2-x2-eq
152-9; 225-29-2; =152-5
152-10; 225-29-12; 1-com-3+,sumperasma
152-11; 225-30-6; QED

153-1; 227-1-1; explanatio
153-2-1; 227-2-1; ekthesis
153-2-2; 227-4-9; diorismus1
153-3; 227-5-3; 1-10,1-12
153-4; 227-6-10; 3-3-Conv
153-5; 227-7-2; 1-def-15,<=153-2-1,1-com-3+
153-6; 227-8-9; 3-31
153-7; 227-9-6; 6-2-x2-eq
153-8; 227-9-13; =153-4
153-9; 227-10-5; 1-com-3+,sumperasma
153-10; 227-11-1; 1-com-2,sumperasma; enunciation added
153-11; 227-11-10; QED

154-1; 227-12-1; explanatio
154-2; 227-13-1; ekthesis
154-3; 227-15-7; adfirmatio,(hypothesis); reductio ad absurdum
154-4; 227-16-7; 1-10,1-12,3-3-Conv
154-5; 227-18-5; (3-31),1-28, 6-2-x2-eq, (1-com-3)
154-6; 227-19-15; 1-com-1
154-7; 227-20-12; absurdum
154-8; 227-21-2; ;refutation of hypothesis in 154-3
154-9; 227-21-8; adfirmatio; much less
154-10; 227-22-6; sumperasma; for 154-3
154-11; 227-22-9; 1-def-15,<=154-2
154-12; 227-23-6; 1-com-3+; cf.154-5
154-13; 227-23-15; (3-31),1-28; cf.154-4
154-14; 227-24-8; 6-2-x2-eq
154-15; 227-25-2; 3-3-Conv; cf.154-4
154-16; 227-25-9; 1-com-3+, sumperasma
154-17; 227-26-3; 1-com-2,sumperasma; enunciation added
154-18; 227-26-13; QED

155-1; 227-27-1; explanatio
155-2; 227-28-1; ekthesis
155-3; 227-30-1; 1-post-1, 1-12
155-4; 227-31-1; adfirmatio
155-5; 227-31-7; (3-31,1-27); (?) cf.156-2
155-6; 227-32-8; (1-26)
155-7; 227-33-1; ; give a name to a point
155-8; 227-33-4; diorismus1
155-9; 227-33-11; (1-def-15,1-com-8); (?) cf. 151-4
155-10; 229-1-3; 1-10,1-12
155-11; 229-1-10; <=155-2,1-def-15,1-com-2+
155-12; 229-3-1; (3-31),1-27,1-28
155-13; 229-3-9; 6-2-x2-eq
155-14; 229-4-5; 3-3-Conv
155-15; 229-4-12; 1-com-3+,sumperasma
155-16; 229-5-6; 1-com-2,sumperasma; enunciation added
155-17; 229-6-2; QED

156-1; 229-7-1; ekthesis, 1-3, 3-25
156-2; 229-10-9; (3-31,1-27); (?) cf.155-5
156-3; 229-12-1; diorismus1
156-4; 229-12-9; 1-10,1-12
156-5; 229-13-5; 3-3-Conv
156-6-1; 229-13-12; (3-31),1-27,1-28
156-6-2; 229-14-7; (1-def-15,<=156-2,1-com-2),6-2-x2-eq
156-7; 229-15-8; =156-5
156-8; 229-16-3; 1-com-3+,sumperasma
156-9; 229-16-12; QED

158-1; 231-2-1; explanatio
158-2; 231-3-1; ekthesis, 1-post-1
158-3; 231-4-9; diorismus1
158-4; 231-5-3; 1-post-1
158-5; 231-6-11; 3-32
158-6; 231-9-1; 3-32
158-7; 231-9-12; 1-29
158-8; 231-10-9; 1-com-1
158-9; 231-11-8; 3-22
158-10; 231-12-2; 1-def-10
158-11; 231-12-7; 3-31-conv
158-12; 231-13-5; sumperasma
158-13; 231-14-2; QED

159-1; 231-15-1; ekthesis, 3-16-Cor, 1-9
159-2; 231-16-12; diorismus1
159-3; 231-17-9; 1-post-1
159-4; 231-18-5; 3-36
159-5; 231-19-9; 6-4-x-conv
159-6; 231-20-7; 3-36,6-4-x-conv
159-7; 231-21-8; <=159-2
159-8; 231-22-6; (3-36,2-com-1-v,1-4,1-com-1,1-com-3); ? AG=BG; AGE==BGE?
159-9; 231-23-5; 3-22,(1-def-10); straight line is 2 right angles
159-10; 231-24-1; 3-31-conv
159-11; 231-24-9; sumperasma

160-1; 231-26-1; explanatio; for the 12th
160-2; 231-27-1; ekthesis, 1-post-1
160-3; 231-28-8; 3-1
160-4; 231-29-3; diorismus1
160-5; 231-30-3; 3-17, 3-11-x
160-6; 231-31-1; 3-18
160-7; 231-31-8; 1-13; supplementary angle of a right angle is right
160-8; 231-32-3; <=160-4
160-9; 231-32-10; 3-19,sumperasma

161-1; 233-1-1; aliter; for 160
161-2; 233-1-2; ekthesis
161-3; 233-2-2; diorismus1
161-4; 233-2-9; 3-17
161-5; 233-3-9; 3-18
161-6; 233-4-5; 1-13; supplementary angle of a right angle is right
161-7; 233-5-1; <=161-2; implicit premise
161-8; 233-5-8; 3-16-Cor
161-9; 233-6-3; =161-4
161-10; 233-6-11; 3-11-x-conv
161-11; 233-7-8; explanatio; indication of figure

162-1; 233-9-1; ekthesis, 1-post-1
162-2; 233-10-9; 3-1
162-3; 233-11-5; diorismus1
162-4; 233-12-3; 3-17
162-5; 233-12-9; 3-18
162-6; 233-14-7; 3-19,sumperasma
162-7; 233-16-1; aliter
162-8; 233-16-5; 1-post-1,3-32
162-9; 233-18-8; 3-31
162-10; 233-19-3; 1-com-1
162-11; 233-19-11; 3-31-conv,sumperasma
162-12; 233-20-8; similiter; misprint in English version

163-1; 233-22-1; ekthesis
163-2; 233-23-1; diorismus1
163-3; 233-23-6; 3-17
163-4; 233-24-5; 3-18
163-5; 233-25-1; <=163-1
163-6; 233-25-6; adfirmatio
163-7; 233-26-5; 1-post-2,6-8-x,3-37; for 163-6
163-8; 233-28-11; =163-3
163-9; 233-29-8; 3-11-x-conv,sumperasma
163-10; 233-30-7; explanatio; indication of figure

164-1; 235-1-1; explanatio; for the 16th
164-2; 235-2-1; ekthesis, 1-post-1
164-3; 235-4-5; diorismus1
164-4; 235-4-10; 3-17, 3-11-x
164-5; 235-5-11; 3-32
164-6; 235-7-5; 3-32
164-7; 235-8-6; 1-15
164-8; 235-9-5; 1-com-1
164-9; 235-10-4; 1-27+*
164-10; 235-10-7; *1-27,sumperasma
164-11; 235-11-4; QED

165-1; 235-12-1; ekthesis, 1-post-1, 1-23
165-2; 235-14-8; diorismus1; equivalent to 3-32-conv
165-3; 235-15-6; adfirmatio; case(1)
165-4; 235-16-4; 3-31,<=165-1,1-com-1
165-5; 235-17-8; sumperasma; for case(1)
165-6; 235-17-11; 3-1,1-post-1,1-post-2; case(2)
165-7; 235-19-9; 3-31
165-8; 235-20-4; <=165-1,3-21,1-com-2+
165-9; 235-23-1; =165-7
165-10; 235-23-6; 1-com-1
165-11; 235-23-12; <=165-6
165-12; 235-24-4; 3-16-Cor,
165-13; 235-24-11; sumperasma; for case(2)

166-1; 235-26-1; explanatio; converse for 164
166-2-1; 235-27-1; ekthesis
166-2-2; 235-27-7; diorismus1
166-3; 235-28-8; 3-17
166-4; 235-29-6; 3-32
166-5; 235-30-4; 1-15,1-29,1-com-1
166-6; 235-32-3; 165
166-7; 235-33-2; <=166-3
166-8; 235-33-9; 3-11-x-conv

167-1; 237-1-1; explanatio; for the same (16th)
167-2; 237-2-1; ekthesis, problema
167-3; 237-4-6; fiat, 3-17
167-4; 237-5-2; 1-29
167-5; 237-6-5; 3-32
167-6; 237-7-5; 1-com-1
167-7; 237-8-5; 3-22-x-conv
167-8; 237-9-1; 3-36-x
167-9; 237-9-10; 3-36,Data-91; ? Data-92?
167-10; 237-10-8; Data-def-1
167-11; 237-11-4; Data-26
167-12; 237-11-8; Data-57
167-13; 237-11-13; <=167-2
167-14; 237-12-4; <=167-2
167-15; 237-12-9; Data-27
167-16; 237-13-1; <=167-15,<=167-2,<=167-3
167-17; 237-14-8; Data-91
167-18; 237-15-5; =167-15
167-19; 237-15-10; Data-27
167-20; 237-16-3; <=167-2
167-21; 237-16-8; Data-26
167-22; 237-16-13; <=167-2
167-23; 237-17-4; Data-25
167-24; 237-17-9; <=167-2
167-25; 237-18-6; Data-26,sumperasma

168-1; 237-20-1; synthesis; for 167
168-2-1; 237-20-6; (3-17,1-46,1-44-x),1-3; construction
168-2-2; 237-23-5; 3-17,1-post-1,1-post-2; construction
168-3; 237-26-1; diorismus1
168-4; 237-26-9; 3-36,1-com-1
168-5; 237-29-5; 3-36-x-conv
168-6; 237-30-1; 3-22-x
168-7; 237-30-12; 3-32
168-8; 237-32-4; 1-com-1
168-9; 237-33-2; 1-27+*
168-10; 237-33-5; *1-27+,sumperasma

169-1; 239-1-1; explanatio; for the 17th
169-2; 239-2-1; ekthesis
169-3; 239-4-6; diorismus1
169-4; 239-5-1; 3-17
169-5; 239-5-9; 3-32
169-6; 239-6-8; 1-com-1
169-7; 239-7-7; 1-28,sumperasma
169-8; 239-9-1; ekthesis; the converse
169-9; 239-9-8; diorismus1
169-10; 239-10-5; 3-17
169-11; 239-11-4; 3-32
169-12; 239-12-2; 1-29
169-13; 239-12-10; 1-com-1
169-14; 239-13-7; 165,sumperasma; 165=3-32-conv
169-15; 239-14-2; sumperasma; for 169-14

170-1; 239-15-1; explanatio
170-2; 239-16-1; ekthesis,problema
170-3; 239-18-1; fiat,3-17
170-4; 239-18-10; 3-32,1-29,1-com-1
170-5; 239-20-8; 3-22-x-conv
170-6; 239-21-5; 3-36-x
170-7; 239-21-14; 3-36,Data-91; ? Data-92? cf.167-9
170-8; 239-22-12; Data-def-1
170-9; 239-23-5; Data-26
170-10; 239-23-10; Data-57
170-11; 239-24-2; <170-2; cf.167-13
170-12; 239-24-6; <=170-2
170-13; 239-24-11; Data-27
170-14; 239-25-4; =170-13,<=170-2,<=170-3
170-15; 239-26-7; Data-91
170-16; 239-27-3; <=170-2
170-17; 239-27-9; Data-25; !not Data-27cf.167-19
170-18; 239-28-3; =170-2
170-19; 239-28-9; Data-26
170-20; 239-29-1; <=170-2
170-21; 239-29-6; Data-25
170-22; 239-29-11; <=170-2
170-23; 239-30-3; Data-26,sumperasma

171-1; 239-31-1; synthesis; for 170; cf.168
171-2-1; 239-31-6; (3-17,1-46,1-44-x); construction
171-2-2; 239-33-7; 3-17,1-post-1,1-post-2; construction
171-3; 241-2-4; diorismus1
171-4; 241-2-12; <=171-2-2,3-36,(1-com-1),<3-36-x-conv,3-22-x-conv>,3-32,(1-com-1)
171-5; 241-5-8; 1-27+*
171-6; 241-6-1; *1-27+,sumperasma

172-1; 241-8-1; explanatio; for the 18th
172-2; 241-9-1; ekthesis,problema; reading dubious
172-3; 241-11-4; fiat,3-17
172-4; 241-12-7; 3-32,1-29
172-5; 241-13-8; 3-21-conv
172-6; 241-14-5; 3-35
172-7; 241-14-14; Data-93
172-8; 241-16-5; Data-def-1
172-9; 241-16-11; Data-26
172-10; 241-17-4; Data-57
172-11; 241-17-9; <=172-2; cf.170-11 to 170-12
172-12; 241-18-1; Data-27
172-13; 241-18-6; 172-12,<=172-2,<=172-3
172-14; 241-19-7; Data-91
172-15; 241-20-3; <=172-2
172-16; 241-20-8; Data-25
172-17; 241-21-1; <=172-2
172-18; 241-21-6; Data-26
172-19; 241-21-11; <=172-2
172-20; 241-22-2; Data-25
172-21; 241-22-8; <=172-2
172-22; 241-23-6; Data-26,sumperasma

173-1; 241-25-1; synthesis
173-2-1; 241-25-6; (1-post-1,1-post-2), 1-44-x, (1-3); construction
173-2-2; 241-28-4; 3-17,1-post-1; construction
173-3; 241-29-7; 3-35-conv,3-21,3-32,1-com-1
173-4; 241-32-12; 1-28,sumperasma
173-5; 241-33-7; QED

174-1; 243-1-1; explanatio; for the 19th. see Jones
174-2; 243-2-1; problema
174-3; 243-4-1; fiat,3-17
174-4; 243-4-7; 3-32,1-29,3-21-conv,3-35
174-5; 243-6-1; Data-93
174-6; 243-6-6; Data-def-1
174-7; 243-6-12; Data-26
174-8; 243-7-4; Data-57
174-9; 243-7-9; <=174-2; cf.170-11
174-10; 243-8-1; <=174-2
174-11; 243-8-6; Data-27
174-12; 243-8-11; Data-91
174-13; 243-9-1; <=174-2
174-14; 243-9-5; Data-25
174-15; 243-9-10; <=174-2
174-16; 243-10-1; ,sumperasma; see below and 172-17 to 172-22
174-17-1; 243-10-8;similiter; 167,170,172 for 174-16
174-17-2; 243-11-3; similiter; synthesis omitted

175-1; 243-12-1; explanatio; for the 24th
175-2; 243-13-1; ekthesis, 3-1
175-3; 243-15-7; ekthesis
175-4; 243-16-2; diorismus1
175-5; 243-16-14; 1-post-1,3-17,3-11-x
175-6; 243-17-8; 3-18
175-7; 243-19-4; 3-18
175-8; 243-20-1; 1-14, sumperasma;
175-9; 243-20-10; 1-def-15,5-7-cor-1
175-10; 243-22-5; 1-29, 6-6
175-11; 243-24-2; =175-8
175-12; 243-24-7; 1-14-x;
175-13; 243-25-5; QED

176-1; 243-26-1; explanatio; for the 25th
176-2-1; 243-27-1; ekthesis
176-2-2; 243-28-7; diorismus1
176-3; 243-29-7; 1-post-1,1-31,1-post-2
176-4; 243-30-12; alter(1-5,1-29,1-6|6-2-Dir-eq)
176-5; 243-31-6; <=176-2-1
176-6; 243-31-13; 1-com-2+
176-7; 243-32-6; <=176-2-1
176-8; 243-32-13; 1-com-1
176-9; 243-33-6; <=176-2-1
176-10; 243-33-9; 1-33
176-11; 243-34-3; <=176-3
176-12; 243-34-11; sumperasma; 2segments are parallel to one line
176-13; 243-35-8; manifestum; for 176-12

#177-0; 245; A and D in the figure should be changed. refer to prop.31
177-1; 245-1-1; explanatio; fot the 31st
177-2-1; 245-2-1; ekthesis
177-2-2; 245-3-6; diorismus1
177-3; 245-3-11; manifestum
177-4; 245-4-2; 1-post-1,3-36
177-5; 245-5-2; 2-com-1
177-6; 245-5-11; 1-com-1
177-7; 245-6-8; 3-37

178-1; 245-8-1; ekthesis, 1-post-1, 1-31
178-2; 245-10-4; diorismus1
178-3; 245-11-5; (3-1),1-post-1
178-4; 245-12-5; adfirmatio
178-5; 245-13-8; <1-def-15,5-7-cor-1>,1-29,6-7+*
178-6; 245-16-7; *6-7+; insufficient condition
178-7; 245-17-2; supra
178-8; 245-17-12; <=178-1
178-9; 245-18-5; 1-14-x
178-10; 245-18-11; 3-11-conv, sumperasma;

179-1; 245-21-1; explanatio; for the 52nd
179-2; 245-22-1; ekthesis
179-3; 245-24-1; diorismus1
179-4; 245-24-6; 1-32-cor-2; perpendicular drops in acute angle, out of obtuse angle
179-5; 245-27-7; 1-12
179-6; 245-28-3; 1-28
179-7; 245-28-10; <=179-2
179-8; 245-29-4; <=179-5
179-9; 245-30-3; (1-34),1-4-x
179-10; 245-31-7; 1-com-2
179-11; 245-32-1; 1-com-1,(1-33),sumperasma

180-1; 247-1-1; ekthesis
180-2; 247-2-9; diorismus1
180-3; 247-3-6; 3-1,1-11
180-4; 247-5-2; 1-post-1
180-5; 247-5-6; 1-def-15
180-6; 247-5-13;1-28
180-7; 247-6-3; 1-33
180-8; 247-7-2; 1-29
180-9; 247-7-11; <=180-3
180-10; 247-8-8; 3-16-Cor
180-11; 247-9-2; supra; paraphrase of 180-10
180-12; 247-10-2; 1-post-a;

181-1; 247-13-1; ekthesis, 1-post-1
181-2; 247-14-6; diorismus1
181-3; 247-15-2; 1-3
181-4; 247-15-12; 6-2-Conv
181-5; 247-16-9; 1-29-x,sumperasma

182-1; 247-18-1; explanatio; for the same
182-2; 247-19-1; ekthesis, problema
182-3; 247-21-8; fiat,1-31,1-post-1,1-post-2
182-4; 247-23-5; 3-21,1-29,1-com-1
182-5; 247-24-8; 3-22-x-conv,3-36-x
182-6; 247-25-5; 3-36,Data-91; cf.Data-92 and 170-6
182-7; 247-26-6; Data-def-1
182-8; 247-27-1; Data-26
182-9; 247-27-6; Data-57
182-10; 247-27-11; <=182-2; cf.170-11
182-11; 247-28-2; <=182-2
182-12; 247-28-7; Data-27
182-13; 247-28-12; <=182-2
182-14; 247-29-5; explanatio; reduced to previous (167)
182-15; 247-30-9; 167
182-16; 247-31-2; supra
182-17; 247-31-6; <=182-2
182-18; 247-31-11; Data-26
182-19; 247-32-4; <=182-2
182-20; 247-32-9; Data-25
182-21; 247-32-13; <=182-2
182-22; 247-33-6; Data-26,sumperasma
182-23; 247-33-11; QED

183-1; 249-1-1; synthesis
183-2-1; 249-1-6; ekthesis
183-2-2; 249-3-5; <3-17,1-46,1-44-x,1-3>; construction
183-3; 249-4-2; 167; construction
183-4; 249-6-2; diorismus1
183-5; 249-6-12; 1-com-1
183-6; 249-8-10; 3-36-x-conv
183-7; 249-9-9; 1-29,3-21,1-com-1
183-8; 249-12-2; =183-6
183-9; 249-12-12; 3-22-x-conv,sumperasma; same line
183-10; 249-14-1; explanatio; for other cases (167,170,172)
183-11; 249-14-7; supra

184-1; 249-16-1; ekthesis, 1-post-2, (5-17), 6-12
184-2; 249-19-2; diorismus1
184-3; 249-20-6; 3-1,3-17,1-post-2
184-4; 249-22-9; 1-31
184-5; 249-23-5; (1-29),6-32; three points on a line
184-6; 249-25-1; 3-18
184-7; 249-25-7; 1-29
184-8; 249-25-13; 3-16-Cor
184-9; 249-27-2; ; cf. 180-11
184-10; 249-28-1; (1-com-9)
184-11; 249-28-8; =184-8
184-12; 249-29-4; (1-post-a)
184-13; 249-29-13;
184-14; 249-30-6; sumperasma
184-15; 249-32-1; explanatio; for the whole first book of Tangencies

185-1; 251-2-1; explanatio
185-2; 251-3-1; ekthesis, 1-post-1,
185-3; 251-4-12; diorismus1
185-4; 251-5-9; 1-31
185-5; 251-6-4; 6-4,6-1,5-11
185-6; 251-6-13; <=185-2
185-7; 251-7-13; 5-11,5-9-B
185-8; 251-9-9; 6-16-Conv,1-29+,6-6+*
185-9; 251-10-4; *6-6+
185-10; 251-10-12; 6-4-x, sumperasma
185-11; 251-11-9; diorismus1, adfirmatio; converse case obvious

186-1; 251-13-1; explanatio
186-2; 251-14-1; ekthesis
186-3; 251-14-8; diorismus1; 2 sumperasmata
186-4; 251-17-7; adfirmatio; for the first sumperasma
186-5; 251-19-1; 1-47
186-6; 251-20-9; 1-com-3
186-7; 251-22-1; 1-com-3+*
186-8; 251-22-5; *1-com-3+
186-9; 251-23-11; sumperasma
186-10; 251-24-7; supra; inconsistent with 186-3
186-11; 251-25-1; adfirmatio; for the second sumperasma
186-12; 251-26-3; 1-com-2
186-13; 251-27-5; 2-com-1
186-14; 251-28-6; 2-8, 2-com-x
186-15; 251-30-8; sumperasma; for the second sumperasma

187-1; 253-1-1; explanatio
187-2; 253-2-1; ekthesis; dato maior est quam in ratione
187-3; 253-4-3; diorismus1
187-4; 253-5-1; (1-44)
187-5; 253-5-9; 2-2,187-2
187-6; 253-7-5; (1-44)
187-7; 253-7-13; 5-11-x,6-1
187-8; 253-9-10; 6-2-Conv
187-9; 253-10-4; 1-29
187-10; 253-10-14; (187-6), 3-36-x-conv,3-22-x;
187-11; 253-11-9; 1-com-1
187-12; 253-12-7; 1-32-cor-1
187-13; 253-13-4; 1-com-A-2
187-14; 253-14-2; (3-22-x-conv,3-36-x,2-com-2-rec1); no explanation, see Eecke p.662

188-1; 253-16-1; explanatio
188-2-1; 253-17-1; ekthesis
188-2-2; 253-18-4; diorismus1
188-3; 253-19-8; 1-12
188-4; 253-19-12; 2-9
188-5; 253-21-3; 1-47, 1-com-5-x, 1-com-Dis
188-6; 253-22-6; 1-47,1-com-2
188-7; 253-23-10; 188-4, 188-5, 188-6,1-com-A,2-com-1; last 2-com-1 dispensable

189-1-1; 253-26-1; ekthesis, 6-13
189-1-2; 253-28-4; diorismus1; (dato) maior est quam in ratione
189-2; 253-29-14; 6-12-x
189-3; 253-31-1; 5-17+
189-4; 253-32-7; 5-12+
189-5; 253-33-8; 5-16+
189-6; 253-34-9; <=189-1,5-19-x
189-7; 255-1-12; 5-11
189-8; 255-2-13; 6-16-Dir; strange expression: chorion chorioi
189-9; 255-3-13; 2-1; de read as 4 (corrected)
189-10; 255-4-12; 1-com-3
189-11; 255-6-8; 1-com-1
189-12; 255-7-6; 2-B; (x+y+z)y-(x+y)z = (x+y)^2-x(x+y+z)
189-13; 255-8-12; 1-com-1
189-14; 255-10-1; 6-1,5-11,189-2
189-15; 255-11-6; 5-11-x,sumperasma

190-1; 255-13-1; ekthesis
190-2-1; 255-14-1; 6-13
190-2-2; 255-14-10; diorismus1
190-3; 255-16-5; 6-12-x
190-4; 255-17-8; 5-17+, 5-19-x
190-5; 255-19-1; 5-16+
190-6; 255-20-1; <<=190-2-1,5-12>
190-7; 255-20-14; 5-11
190-8; 255-21-11; 6-16-Dir
190-9; 255-22-12; 1-com-2+*
190-10; 255-23-9; *1-com-2+,2-1,2-2
190-11; 255-24-13; (1-com-B-conv),(5-11-x),sumperasma
190-12; 255-26-4; <<=190-3,6-1,5-11>; explanation for 190-11

191-1; 257-1-1; ekthesis
191-2; 257-1-10; diorismus1
191-3; 257-6-5; 6-12-x
191-4; 257-7-8; 5-18+,5-19+,6-1,(5-11)
191-5-1; 257-9-9; =191-3,(6-1,5-11,5-9-A)
191-5-2; 257-11-1; (6-1,5-11,5-9-A)
191-5-3; 257-12-7; (5-11,5-9-A)
191-6; 257-14-1; (191-2,1-com-A,2-3),diorismus1; transform 191-2
191-7; 257-15-7; 1-com-3+*; diorismus1
191-8; 257-16-1; *1-com-3+, 2-2, 2-1; diorismus1
191-9; 257-17-9; 1-com-3+*; diorismus1
191-10; 257-18-2; *1-com-3+,2-1; diorismus1
191-11; 257-19-10; adfirmatio
191-12; 257-19-12; 6-16-Conv; for 191-11

192-1; 257-21-1; ekthesis
192-2; 257-21-9; diorismus1
192-3; 257-25-1; 6-10
192-4; 257-26-1; Data-def-2
192-5; 257-26-10; Data-7,Data-27
192-6; 257-27-4; 191
192-7; 257-32-7; 6-1,5-9-A
192-8; 259-1-12; 2-1,sumperasma
192-9; 259-5-10; similiter; if G is on the extension of the line

193-1; 261-4-1; explanatio
193-2; 261-5-1; ekthesis, 1-post-1
193-3; 261-6-11; diorismus1
193-4; 261-7-6; 1-31
193-5-1; 261-8-1; 5-7-Cor+, 5-18+, 5-16+
193-5-2; 261-10-2; 6-2-Dir, (5-11)
193-6; 261-11-4; 6-2-Conv
193-7; 261-11-11; 6-2-Dir
193-8; 261-12-13; (=193-4), 6-2-Dir
193-9; 261-14-1; 5-11
193-10; 261-15-1; 6-2-Conv

194-1; 261-16-1; explanatio
194-2; 261-16-6; 5-7-Cor
194-3; 261-18-10; 5-18+, 5-16+, (5-7-Cor), 5-19-Cor+
194-4; 261-20-3; Menelaus
194-5; 261-21-12; Menelaus
194-6; 261-23-3; 5-11
194-7; 261-25-16; 6-23-lem-2*
194-8; 261-26-10; *6-23-lem-2
194-9; 261-28-5; 6-2-Conv

195-1; 261-29-1; explanatio
195-2; 261-30-1; ekthesis
195-3; 261-30-4; ekthesis
195-4; 261-31-14; diorismus1
195-5; 261-32-8; 1-31, 1-post-1, 1-post-2
195-6; 261-33-10; 5-16+
195-7; 263-2-14; <6-4, uter(5-22|5-16)>, 5-16+; see Jones 457, cf.248-4-1
195-8; 263-4-5; 5-11
195-9; 263-5-4; <=195-5
195-10; 263-5-11; 1-29, 6-32;

196-1; 263-7-1; ekthesis, 1-post-1
196-2; 263-8-5; diorismus1
196-3; 263-9-12; 1-31
196-4; 263-11-7; 1-31
196-5-1; 263-12-9; 6-4, 5-11
196-5-2; 263-15-2; 5-22
196-6; 263-16-4; 6-16-Dir
196-7; 263-17-3; 5-7-A*
196-8; 263-17-12; *5-7-A, 6-1, 6-2-Dir, 5-11
196-9; 263-20-4; similiter; as in 196-5 to 196-8
196-10; 263-21-9; 5-7-Cor
196-11; 263-22-14; =196-8
196-12; 263-24-2; 5-11

197-1; 263-26-1; explanatio
197-2-1; 263-26-6; 6-23
197-2-2; 263-28-13; 6-4
197-2-3; 263-30-9; 6-23-lem
197-3; 263-32-8; 6-23-def
197-4; 263-34-6; 5-11
197-5; 265-1-9; similiter; as in 197-2 to 197-4
197-6; 265-2-14; 5-7-Cor
197-7; 265-3-5; =197-4
197-8; 265-5-9; 5-11

198-1; 265-7-1; ekthesis
198-2; 265-7-4; ekthesis
198-3; 265-9-1; diorismus1
198-4; 265-9-11; 5-16+, 6-1, 5-11
198-5; 265-13-4; 1-31, 6-23-def; three ratios compounded
198-6; 265-15-2; 6-23
198-7; 265-17-12; 5-11, 6-2-x, 6-23-lem-2*; koinos ekkekrousthw
198-8; 265-19-1; *6-23-lem-2, 6-4, 6-23-lem, 5-11
198-9; 265-21-12; adfirmatio; proved in the following
198-10-1; 265-22-8; 1-31, 1-post-1, 1-post-2
198-10-2; 265-23-12; 6-4
198-10-3; 265-25-2; 6-23-def; metaballeitai, see Jones
198-10-4; 265-27-1; <=198-8, 6-23-lem, 5-11
198-11; 265-28-1; 6-32;
198-12; 265-29-4; manifestum; for 198-11
198-13; 265-29-7; 1-com-9

199-1; 265-31-1; ekthesis
199-2; 265-32-9; ekthesis
199-3; 265-33-7; diorismus1
199-4; 265-34-1; 1-31
199-5; 265-34-10; =199-2, 6-2-x, 5-11
199-6; 267-4-4; 5-19+, 6-2-x, 5-11
199-7; 267-5-12; 5-16+, 6-4, 5-11
199-8; 267-7-5; =199-4
199-9; 267-7-12; 6-32;

200-1; 267-9-1; ekthesis; cf. 260
200-2; 267-10-7; adfirmatio
200-3; 267-10-10; ekthesis; converse case
200-4; 267-11-1; adfirmatio
200-5-1; 267-11-3; 1-post-2, 1-3, 1-post-1, 1-34-conv;
200-5-2; 267-13-1; 6-2-Dir, 5-11; explained in 200-6
200-6; 267-14-2; explicatio; for 200-5-2
200-7; 267-15-5; 6-2-Conv

201-1; 267-16-1; ekthesis
201-2; 267-17-2; diorismus1
201-3; 267-17-9; 1-post-2, 1-31, 1-post-1
201-4; 267-19-4; =201-1, (5-7-Cor), 6-2-Dir, 5-11
201-5; 267-22-1; 6-2-Conv
201-6; 267-22-8; 6-2-Dir, 5-11; explained in 201-7
201-7; 267-23-10; explicatio; for 201-6
201-8; 267-24-12; 6-2-Conv

202-1; 267-26-1; ekthesis
202-2; 267-27-9; diorismus1
202-3; 267-28-2; 1-post-1
202-4; 267-28-7; 1-37; area of a triangle
202-5; 267-29-5; 1-com-2+*
202-6; 267-30-2; *1-com-2
202-7; 267-31-3; <=202-1
202-8; 267-32-8; 1-com-3+*
202-9; 267-33-4; *1-com-3+
202-10; 269-1-4; =202-6
202-11; 269-2-4; 1-com-1
202-12; 269-3-4; 1-com-2+*
202-13; 269-4-1; *1-com-2
202-14; 269-5-1; 1-39*;
202-15; 269-5-9; *1-39;

203-1; 269-7-1; ekthesis, 1-31, 1-post-1
203-2; 269-9-1; ekthesis
203-3; 269-9-15; diorismus1
203-4; 269-10-7; 5-19
203-5; 269-12-10; 6-2-x
203-6; 269-13-8; 5-11
203-7; 269-14-8; 5-16+
203-8; 269-15-9; 6-4
203-9; 269-16-10; 6-4
203-10; 269-17-10; 5-11
203-11; 269-18-10; 6-2-Conv
203-12; 269-19-5; 1-30

204-1; 269-20-1; ekthesis, 1-post-1
204-2; 269-21-6; ekthesis
204-3; 269-23-1; diorismus1
204-4; 269-23-10; 1-31, 1-29-x
204-5; 269-25-2; 1-31, 1-post-2, 1-29-x
204-6; 269-26-7; 1-31, 1-post-2, 1-29-x
204-7; 269-27-11; 6-4, uter(5-11, 5-16, 5-17, 5-7-Cor|5-22), 6-16-Dir; Jones p.461 assumes 5-22, but it is unnecessary. DN:DB::DK:DA::DJ:DG. Then enallax, dielonti, anapalin.
204-8; 269-30-1; 5-7-A*
204-9; 269-30-9; *5-7-A, 6-1, 5-11
204-10; 269-32-6; =204-2
204-11; 269-33-14; 6-2-Dir, 5-11
204-12; 271-2-1; 5-11
204-13; 271-3-9; 5-9-B
204-14; 271-4-5; 6-16-Conv
204-15; 271-5-7; 5-18+, 5-16+
204-16; 271-6-10; 6-2-Dir
204-17; 271-7-9; 5-11
204-18; 271-8-8; 6-2-Conv
204-19; 271-9-2; <=204-4
204-20; 271-9-6; 1-30
204-21; 271-9-11; QED
204-22; 271-10-1; explanatio

205-1; 271-12-1; ekthesis, (1-post-2)
205-2; 271-13-11; diorismus1
205-3; 271-15-3; 1-31, 1-post-2
205-4; 271-16-7; 6-4, 6-2-Dir, 5-11
205-5; 271-19-7; 6-16-Dir
205-6; 271-20-5; 5-7-A*
205-7; 271-20-13; *5-7-A, 6-1, 6-4
205-8; 271-23-1; 5-11
205-9; 271-24-3; similiter

206-1; 271-27-1; ekthesis, 1-post-1, diorismus1
206-2; 271-30-9; 2-5
206-3; 271-33-14; 2-5
206-4; 273-4-1; 5-7-Cor
206-5; 273-5-7; =206-2
206-6; 273-6-10; 5-11
206-7; 273-8-2; 204*
206-8; 273-8-6; *204*
206-9; 273-11-14; *204

207-1; 273-13-1; ekthesis
207-2; 273-14-5; diorismus1
207-3; 273-15-4; 196
207-4; 273-18-5; 196
207-5; 273-21-6; =207-3
207-6; 273-22-12; 5-11
207-7; 273-24-6; 204*
207-8; 273-25-1; *204

208-1; 273-26-1; ekthesis
208-2; 273-28-13; diorismus1
208-3; 273-29-8; 1-31, 1-post-2
208-4; 273-31-13; <=208-1, 6-4, 6-1, 5-11, 5-9-A
208-5; 275-1-11; 6-16-Conv, 5-11-x
208-6; 275-3-1; 5-12+, 5-11-x
208-7; 275-4-7; 6-2-Dir
208-8; 275-5-13; <=208-3
208-9; 275-6-6; 6-32;

209-1; 275-8-1; ekthesis, 1-post-1
209-2; 275-10-5; diorismus1
209-3; 275-11-1; 1-post-1, 1-post-2
209-4; 275-11-8; 205
209-5; 275-14-13; 196
209-6; 275-17-12; 5-11, (5-7-Cor)
209-7; 275-19-3; <=209-1; unnecessary argument. See Hultsch 2:888 (Explanation based on Commandino's emendation)
209-8; 275-19-12; 208

210-1; 275-21-1; ekthesis, 1-post-1
210-2; 275-23-4; ekthesis
210-3; 275-24-9; diorismus1
210-4; 275-25-3; 1-31
210-5-1; 275-25-12; 6-23, 6-4, 6-23-lem
210-5-2; 275-30-4; 6-23, 5-11
210-6; 275-34-9; 6-23-def
210-7; 277-1-15; 6-23-lem, 5-11
210-8; 277-4-14; 6-23-lem-2*
210-9; 277-5-8; *6-23-lem-2, 6-23-def, 5-11
210-10; 277-9-3; 6-23-lem-2*
210-11; 277-10-2; *6-23-lem-2
210-12; 277-11-7; 5-16+
210-13; 277-12-8; =210-4
210-14; 277-13-1; 6-2-x-conv; three points on a line

211-1; 277-14-1; ekthesis
211-2; 277-15-5; 196
211-3; 277-18-11; 196*
211-4; 277-20-2; *196
211-5; 277-21-9; 5-11
211-6; 277-23-1; 210
211-7; 277-23-12; 1-post-1-x

212-1; 277-25-1; ekthesis, 1-31, 1-post-1
212-2; 277-26-6; ekthesis
212-3; 277-27-8; 1-post-1, diorismus1
212-4; 277-28-9; 6-23-lem*, 6-1; koinon proskeistho
212-5; 277-31-6; *6-23-lem, 6-1
212-6; 277-34-14; 6-23
212-7; 279-3-10; 5-11
212-8; 279-5-5; 5-11
212-9; 279-6-12; 204; see Jones 2:465

213-1; 279-9-1; ekthesis, 1-post-1
213-2; 279-10-8; ekthesis
213-3; 279-11-7; diorismus1; special case of 196
213-4; 279-12-7; 1-31
213-5; 279-13-2; 6-4, 5-11
213-6; 279-16-13; 5-16+
213-7; 279-17-14; 6-2-x
213-8; 279-18-12; 5-11
213-9; 279-19-11; 5-16+
213-10; 279-20-11; similiter

214-1; 279-22-1; ekthesis
214-2; 279-23-2; diorismus1
214-3; 279-24-7; 1-12
214-4; 279-25-2; 6-4
214-5; 279-26-15; 6-1
214-6; 279-29-5; 5-11, 5-16+
214-7; 279-30-12; 1-41, (5-7-cor-1, 5-4, 5-16)
214-8; 279-33-5; 5-11

215-1; 281-1-1; ekthesis
215-2; 281-1-9; diorismus1
215-3; 281-3-6; 1-post-2, 1-3, 1-post-1
215-4; 281-4-10; <=215-3, 1-13, 1-com-2-conv
215-5; 281-6-12; 214
215-6; 281-8-5; <=215-3, 1-38
215-7; 281-9-6; 5-11-x

216-1; 281-12-1; ekthesis
216-2; 281-13-10; diorismus1
216-3; 281-14-8; 1-com-3+*
216-4; 281-16-2; *1-com-3+, 2-1, 2-4, 1-com-A
216-5; 281-17-3; 1-com-3+*
216-6; 281-18-1; *1-com-3+, 2-3, 1-com-A
216-7; 281-19-4; 1-com-2+*
216-8; 281-20-1; *1-com-2+, 2-4, 1-com-A

217-1; 281-22-1; ekthesis
217-2-1; 281-22-10; diorismus1; case(1)
217-2-2; 281-24-6; diorismus1; case(2)
217-2-3; 281-25-7; diorismus1; case(3)
217-3; 281-26-10; 6-16-Conv, 5-12, 5-7-Cor, 5-18
217-4; 281-29-10; 6-16-Dir, sumperasma; case(1)
217-5; 281-31-2; <=217-3, 5-12, 5-18
217-6; 281-33-8; 6-17-Dir, sumperasma; case(2)
217-7; 281-34-9; <=217-3, 5-12, 5-7-Cor, 5-18
217-8; 283-3-6; 6-16-Dir, sumperasma; case(3)

218-1; 283-5-1; ekthesis
218-2; 283-6-9; diorismus1
218-3; 283-8-1; 1-com-2*
218-4; 283-9-6; *1-com-2, 2-1, 1-com-A
218-5; 283-10-13; 1-com-2*
218-6; 283-11-5; *1-com-2, 2-4, 1-com-A
218-7; 283-12-6; 1-com-2*
218-8; 283-12-11; *1-com-2, 2-4, 1-com-A

219-1; 283-15-1; ekthesis
219-2-1; 283-15-11; diorismus1; case(1)
219-2-2; 283-17-5; diorismus1; case(2)
219-2-3; 283-18-7; diorismus1; case(3)
219-3; 283-19-11; 6-16-Conv, 5-19+, 5-17+
219-4; 283-22-10; 6-16-Dir, sumperasma; case(1)
219-5; 283-23-13; <=219-3, 5-19, 5-17+
219-6; 283-26-7; 6-17-Dir, sumperasma; case(2)
219-7; 283-27-11; <=219-3, 5-7-Cor+, 5-17-x+
219-8; 283-30-9; 6-17-Dir, sumperasma; case(3)

220-1; 285-1-1; ekthesis
220-2; 285-2-3; diorismus1
220-3; 285-3-2; (1-post-2, 1-3)
220-4; 285-3-8; 2-6, 2-com-1, 1-com-A
220-5; 285-4-12; =220-1, 5-17+, 6-1, <=220-4, 1-com-B-conv, 5-11
220-6; 285-7-14; 5-9-B
220-7; 285-8-10; 6-16-Conv, 5-17+, 5-11-x
220-8; 285-10-4; 5-19
220-9; 285-11-7; 6-17-Dir

221-1; 285-13-1; ekthesis
221-2; 285-14-7; diorismus1
221-3; 285-15-7; 1-3
221-4; 285-16-4; 2-6, 2-com-1, 1-com-A
221-5; 285-17-6; =221-1, 5-17+, =221-4, 1-com-B-conv, 6-1, 5-11
221-6; 285-19-9; 5-9-B
221-7; 285-20-6; 6-16-Conv, 5-18, 5-11-x
221-8; 285-22-1; 5-12
221-9; 285-23-1; 6-17-Dir

222-1; 285-24-1; ekthesis, 1-post-1
222-2; 285-25-9; diorismus1
222-3; 285-26-11; 3-36-cor-2, (1-12, 1-5, 1-4-x, 1-47, 1-com-A, 2-5); See Jones 2:468
222-4; 285-28-2; 3-35, 3-36
222-5; 285-29-6; 1-com-2, 1-com-1
222-6; 285-30-7; (1-com-3, 2-1, 2-3, 6-16-Conv); See Jones 2:468

223-1; 287-1-1; ekthesis, problema
223-2; 287-2-7; fiat
223-3; 287-3-5; (6-4, 6-22-Dir, 6-4-x, 5-11-x, 6-1, 5-11); q(AG):q(GB)::q(AD):q(DG), q(DB)=r(AD,DB)
223-4; 287-4-4; Data-50, Data-def-2
223-5; 287-5-10; (Data7), Data-27
223-6; 287-6-9; Data-91
223-7; 287-7-1; synthesis
223-8; 287-7-6; 6-12-x, 3-17, 1-post-1
223-9; 287-10-9; diorismus1
223-10; 287-11-5; =223-3, 5-11
223-11; 287-15-1; 6-22-Conv
223-12; 287-15-15; QEF

224-1; 287-17-1; ekthesis
224-2; 287-18-4; ekthesis, 1-post-1
224-3; 287-18-7; ekthesis, 1-post-1, 1-post-2
224-4; 287-19-10; diorismus1
224-5; 287-20-12; 1-post-1
224-6; 287-21-4; 3-3-x, 3-21
224-7; 287-23-7; 3-22-x
224-8; 287-24-6; 1-com-1
224-9; 287-25-6; 3-31
224-10; 287-25-13; (1-31, 1-29, 1-26, 5-7-B, 6-4, 5-11);
See Jones 2:469

225-1; 287-28-1; ekthesis, 1-11, 1-post-1
225-2; 287-31-12; diorismus1
225-3; 287-32-12; (analysis), 6-16-Conv; See Jones 2:470qs
225-4; 287-33-13; 6-6*
225-5; 289-34-6; *6-6
225-6; 289-1-9; 3-21-conv, 3-21
225-7; 289-2-10; 3-21-conv, 3-21
225-8; 289-3-9; 1-com-1
225-9; 289-4-9; adfirmatio; proved below 225-10
225-10; 289-4-11; 3-31, 1-com-3

226-1; 289-6-1; ekthesis, 1-post-2, (1-31); AE=DE, see 226-12
226-2; 289-8-8; 1-10, 1-post-1, diorismus1
226-3; 289-11-8; (analysis), 1-31, 1-post-2; see Jones, 2:471
226-4; 289-12-13; 6-2-Dir, 5-24, 6-1, 5-11
226-5; 289-16-1; alter(2-5|2-6), 5-9-A
226-6; 289-17-10; 1-com-B-x
226-7; 289-18-7; 2-6
226-8; 289-19-5; 1-com-1
226-9; 289-20-1; 6-16-Conv, 6-2-Dir, 5-11
226-10; 289-22-1; adfirmatio
226-11; 289-22-3; 6-2-Dir, 1-com-3+, 1-39*
226-12; 289-25-2; *1-39

227-1; 289-26-1; ekthesis, 1-post-2
227-2; 289-28-6; 1-post-1, 1-post-2, diorismus1
227-3; 289-31-1; 1-post-1
227-4; 289-31-5; 3-31
227-5; 289-31-11; <=227-1
227-6; 289-32-5; (3-22-conv, 1-47, 1-com-3, 3-36-x, 2-2); see also Jones 2:471-472, Hultsch, 2:911-913
227-7; 289-33-5; 3-36-x
227-8; 289-34-3; <=227-1
227-9; 291-1-1; 1-com-1, 1-com-A

228-1; 291-3-1; ekthesis; See Con-1-37
228-2-1; 291-4-9; diorismus1; case(1)
228-2-2; 291-5-9; diorismus1; case(2)
228-2-3; 291-6-3; diorismus1; case(3)
228-3; 291-6-10; 5-18, 5-4, 5-19-Cor
228-4; 291-9-6; 6-17-Dir, sumperasma; case(1)
228-5; 291-10-1; 1-com-3+*
228-6; 291-10-7; *1-com-3+, 2-3, 2-5, sumperasma; case(2)
228-7; 291-11-7; =228-4
228-8; 291-12-5; 1-com-3+*
228-9; 291-13-3; *1-com-3+, 2-2, 2-6; sumperasma; case(3)
228-10; 291-15-1; ekthesis
228-11; 291-16-8; diorismus1
228-12; 291-17-8; 1-com-2*
228-13; 291-19-2; *1-com-2, 2-3, 2-5
228-14; 291-20-2; 6-17-Conv, 5-19-Cor, 5-4, 5-17+

229-1; 291-23-1; ekthesis, 1-post-2
229-2; 291-24-5; ekthesis, (6-12)
229-3-1; 291-26-1; ekthesis, 1-post-1, 1-post-2
229-3-2; 291-27-8; diorismus1
229-4; 291-28-9; alter(3-1|1-10), 1-12
229-5; 291-29-15; 3-3-Conv
229-6; 291-30-7; 3-21-conv
229-7; 291-31-11; 3-35
229-8; 291-32-7; =228-2-2
229-9; 291-34-14; 1-com-1, 3-35
229-10; 293-2-7; =228-11

230-1; 293-5-1; ekthesis, (1-31, 1-12)
230-2; 293-6-8; diorismus1
230-3; 293-7-2; alter(3-1|1-10), 1-post-1
230-4; 293-8-4; 1-def-15
230-5; 293-8-11; 2-com-1
230-6; 293-9-7; 1-47
230-7; 293-10-10; 1-47
230-8; 293-12-1; 1-com-1
230-9; 293-13-4; <1-28, 1-34>, 2-com-1, 1-com-3+*
230-10; 293-14-4; *1-com-3+
230-11; 293-15-8; 2-com-1-conv
230-12; 293-16-4; 1-def-15, 1-com-3+*
230-13; 293-16-14; *1-com-3+
230-14; 293-17-8; QED

231-1; 293-18-1; ekthesis, 1-post-2, 1-post-1, 1-12
231-2; 293-19-9; diorismus1
231-3; 293-20-11; analysis, 1-com-B, 1-47, 1-com-A
231-4; 293-22-12; 1-com-3+, 2-2, 2-1, 1-com-A
231-5; 293-25-7; 1-com-3+, 2-3, 2-1, 1-com-1

232-1; 293-29-1; ekthesis
232-2; 293-31-2; analysis
232-3; 293-31-3; 1-41, 1-com-1
232-4; 295-2-9; 241, 1-41, ; tri:tri=rec:rec
232-5; 295-5-1; Data-52
232-6; 295-5-6; Data-2
232-7; 295-5-12; Sect.Spatii
232-8; 295-8-3; supra
232-9; 295-9-1; synthesis
232-10; 295-9-4; ekthesis
232-11; 295-10-9; Sect.Spatii
232-12; 295-12-10; similiter; 232-3 to 232-4
232-13; 295-14-4; sumperasma;
232-14; 295-15-1; manifestum; uniqueness

233-1; 297-1-1; ekthesis
233-2; 297-2-2; (1-def-15,1-47),sumperasma; case(1)
233-3; 297-4-5; ekthesis, diorismus1; case(2)
233-4-1; 297-5-6; 11-11
233-4-2; 297-6-8; ekthesis; subcase(2-1)
233-4-3; 297-7-6; (3-1),1-post-1,1-post-2
233-5; 297-10-3; diorismus1
233-6; 297-12-1; 1-post-1
233-7; 297-13-1; 3-7
233-8; 297-13-8;
233-9; 297-13-12; 11-def-3
233-10; 297-14-6; 1-47-cor-2
233-11; 297-15-1; similiter
233-12; 297-15-11; sumperasma

234-1-1; 297-17-1; ekthesis,11-11; subcasus(2) for 233
234-1-2; 297-18-11; 3-1,1-post-1,1-post-2
234-2; 297-21-9; diorismus1
234-3; 297-21-9; <1-47, 1-com-8, 2-com-2-conv>
234-4; 297-22-4; 1-post-1
234-5; 297-23-3; 3-15
234-6; 297-23-12; 11-def-3
234-7; 297-24-6; 1-47-cor-2
234-8; 297-25-1; similiter
234-9; 297-25-4; similiter, 11-def-3, 1-47-cor-1; Not exactly the same. see Jones.
234-10; 297-26-3; sumperasma

235-1-1; 297-28-1; ekthesis,11-11; subcasus(3) for 233
235-1-2; 297-29-6; 3-1,1-post-1,1-post-2
235-2; 297-31-1; diorismus1
235-3; 297-33-1; (11-def-3, 1-com-8, 1-47-cor-2),manifestum
235-4; 297-33-11; diorismus1
235-5; 299-1-1; 1-post-1
235-6; 299-2-4; 3-8
235-7; 299-3-7; 11-def-3
235-8; 299-4-4; 1-47-cor-2
235-9; 299-4-11; similiter
235-10; 299-5-2; sumperasma
235-11; 299-5-8; diorismus1
235-12; 299-6-2; 3-8, 11-def-3, 1-47-cor-2
235-13; 299-7-12; similiter
235-14; 299-8-2; sumperasma

237-1; 299-25-1; ekthesis
237-2; 299-25-9; supra
237-3; 299-29-4; diorismus1
237-4; 299-30-9; 1-12
237-5; 299-31-11; =237-2
237-6; 299-33-5; 1-10,1-post-1
237-7-1; 301-1-6; 2-5
237-7-2; 301-2-7; 6-8-x,1-47,1-com-A
237-8; 301-4-6; 2-com-1-conv
237-9; 301-4-13; similiter
237-10; 301-6-2; 1-def-15,sumperasma

#238-0; 301; a technique for avoiding compounded ratio.
238-1; 301-8-1; ekthesis
238-2; 301-9-7; diorismus1
238-3-1; 301-11-2; 6-4, 6-1
238-3-2; 301-13-9; 5-11
238-4; 301-14-13; 6-4, 6-22-Dir;
238-5; 301-16-2; 5-22, sumperasma

#239-0; 301; for 1-37. filled
239-1; 301-18-1; ekthesis, 1-10
239-2; 301-19-9; diorismus1; three conclusions
239-3; 301-21-5; 5-18+,5-4+,5-19-Cor+
239-4; 301-24-2; 6-17-Dir, sumperasma; case 1
239-5; 301-25-1; 1-com-3+*
239-6; 301-25-7; *1-com-3+,2-5,2-3,sumperasma; case 2
239-7; 301-26-7; 1-com-3+*
239-8; 301-27-2; *1-com-3+,2-6,2-2,sumperasma; case(3)
239-9; 301-28-1; sumperasma

240-1; 301-30-1; ekthesis
240-2; 301-31-18; diorismus1
240-3; 301-33-13; 6-12
240-4-1; 303-1-13; 6-23-lem
240-4-2; 303-3-11; 6-23-def
240-4-3; 303-5-10; 5-11
240-5-1; 303-6-6; 6-23-def
240-5-2; 303-8-4; =240-4-3
240-5-3; 303-9-5; 5-7-Cor+
240-5-4; 303-10-8; 6-23-lem,5-11

241-1; 303-13-1; ekthesis
241-2; 303-14-8; diorismus1
241-3; 303-16-3; ekthesis, manifestum; case(1)
241-4; 303-17-2; ekthesis, 1-12; case(2)
241-5; 303-17-10; 1-post-4,1-32-cor-3
241-6; 303-19-8; 6-4
241-7; 303-20-10; 6-1
241-8; 303-23-1; 5-11,5-16+,1-35,5-11-x; 1-35 or area of parallelogram

242-1; 303-26-1; ekthesis, 2-14
242-2; 303-27-12; 1-post-1,diorismus1
242-3; 303-29-2; manifestum
242-4-1; 303-29-6; 6-17-Conv
242-4-2; 303-30-9; 6-2-Dir
242-4-3; 303-31-9; 5-11
242-5; 303-32-8; 6-2-Conv

243-1; 305-1-1; ekthesis
243-2; 305-2-11; diorismus1
243-3; 305-4-10; 1-12
243-4; 305-5-3; 6-4
243-5-1; 305-7-8; 6-1
243-5-2; 305-8-10; 6-1
243-6-1; 305-10-10; 1-41; Triangle and parallelogram
243-6-2; 305-11-9; 1-41-trap; Area of a trapezium
243-7; 305-12-1; (5-11),alter(5-4,5-16|5-16,5-15)

244-1; 305-16-1; ekthesis,similiter,diorismus1
244-2; 305-19-4; (5-14-a),sumperasma
244-3; 305-21-7; (5-14-a),sumperasma; delete ``twice''

#245-0; 305-307; Avoidance of compound ratio. Curious use of a circle.
245-1; 305-24-1; ekthesis, 1-post-2, 1-31
245-2; 305-26-4; diorismus1
245-3; 305-27-11; 1-44-x,1-post-1
245-4; 305-29-7; 3-35-conv,3-21,1-29,1-com-1
245-5; 305-31-13; 1-29
245-6; 305-32-13; 6-4
245-7; 305-33-13; 6-4,5-11;
245-8; 307-2-10; =245-6,=245-7,5-23
245-9; 307-6-3; 6-1,3-35
245-10; 307-7-9; 6-1,3-35
245-11; 307-9-2; 5-11-x,5-11,sumperasma

#246; 307; 245�̍��
246-1; 307-11-1; explanatio
246-2-1; 307-11-5; 6-4
246-2-2; 307-12-14; 6-4
246-2-3; 307-14-8; 6-23,6-23-lem,5-11

247-1; 309-2-1; ekthesis, problema
247-2; 309-4-1; manifestum
247-3; 309-4-4; 1-31,1-34
247-4; 309-7-4; sumperasma

248-1; 309-9-1; ekthesis
248-2; 309-11-5; diorismus1
248-3; 309-12-1; 1-post-2
248-4-1; 309-13-1; 1-29,6-6; cf. 195-7
248-4-2; 309-15-7; 1-28
248-5; 309-16-5; 1-29; additional comment to 248-4-1. del Comm.
248-6; 309-17-3; 1-28,sumperasma

249-1; 309-18-1; ekthesis
249-2; 309-19-9; diorismus1
249-3; 309-20-9; 1-10
249-4-1; 309-21-12; (1-com-2),2-5
249-4-2; 309-22-12; 2-5
249-4-3; 309-23-12; 2-5
249-4-4; 309-24-10; 1-com-A
249-5; 309-26-4; 1-com-3+*
249-6; 309-26-9; *1-com-3+,sumperasma

250-1; 309-28-1; ekthesis
250-2; 309-29-9; diorismus1
250-3; 309-31-1; 1-10
250-4; 309-32-4; 1-com-2+; See 249-4-1 implicit
250-5-1; 309-32-13; 2-5
250-5-2; 311-1-12; 2-6
250-6; 311-2-11; 1-com-1
250-7; 311-3-14; 2-5,(1-com-A)
250-8; 311-4-14; 1-com-3+*
250-9; 311-5-7; *1-com-3+,sumperasma

251-1; 311-7-1; ekthesis
251-2; 311-8-9; diorismus1
251-3; 311-9-7; 1-23
251-4; 311-10-2; <=251-1
251-5; 311-10-10; 6-4
251-6; 311-11-6; 1-com-8,5-8-A
251-7; 311-12-7; 5-13, sumperasma

252-1; 311-14-1; ekthesis; converse of 251
252-2; 311-15-11; diorismus1
252-3; 311-16-8; 5-13,5-10-B
252-4; 311-19-3; 6-12,1-post-1
252-5; 311-19-11; 6-6+*
252-6; 311-20-6; *6-6+,1-com-8,sumperasma

253-1; 311-22-1; ekthesis
253-2; 311-24-7; diorismus1
253-3-1; 311-25-5; <=253-1,6-23,5-11-x
253-3-2; 311-30-5; 6-def-1
253-3-3; 311-31-10; 6-23-lem-2
253-4; 311-32-14; 6-def-1
253-5; 311-33-4; 6-6,sumperasma

254-1; 313-1-1; ekthesis; alternative for 253 without compounded ratio
254-2; 313-2-1; supra
254-3; 313-3-2; 1-44
254-4; 313-3-11; 6-16-Conv
254-5; 313-4-13; 1-4
254-6; 313-5-6; 6-16-Conv
254-7; 313-6-4; <=253-1,5-11-x,6-1,5-11; see Jones 2:481
254-8; 313-9-3; <=253-1,6-def-1
254-9; 313-10-3; 5-22
254-10; 313-11-1; =254-4,=254-6
254-11; 313-12-9; 5-11
254-12; 313-13-6; <=253-1,6-def-1
254-13; 313-13-10; 6-6,sumperasma
254-14; 313-14-7; similiter; see Jones 2:481

255-1; 313-16-1; ekthesis
255-2; 313-17-6; diorismus1; converse of 253
255-3; 313-18-9; 6-def-1,1-com-3
255-4; 313-21-1; 6-def-1
255-5; 313-21-7; 6-4
255-6; 313-22-4; 6-def-1
255-7; 313-23-2; 6-23-lem
255-8; 313-24-1; 6-23,sumperasma

256-1; 313-26-1; explanatio; alternative for 255 without compounded ratio
256-2; 313-26-6; 1-44
256-3; 313-27-14; 6-16-Conv
256-4; 313-29-8; =255-5
256-5; 313-30-14; 5-11
256-6; 313-31-12; <=255-1,6-def-1
256-7-1; 313-32-11; 5-22,6-1,5-11,5-11-x
256-7-2; 313-35-12; QED
256-8; 315-1-1; similiter; See Jones 2:481

257-1; 315-5-1; ekthesis, 1-12
257-2; 315-6-5; diorismus1
257-3; 315-7-9; manifestum; similar to preceding ones (255,256)

258-1; 315-9-1; ekthesis
258-2; 315-10-1; diorismus1
258-3; 315-11-1; 1-23
258-4; 315-12-2; 6-4
258-5; 315-12-14; 1-com-8,5-8-A
258-6; 315-13-13; 5-13, sumperasma
258-7; 315-15-2; similiter

259-1; 315-16-1; ekthesis
259-2; 315-18-9; diorismus1
259-3; 315-19-4; 6-22-ineq,2-com-1,5-13-x
259-4; 315-22-11; <=259-1
259-5; 315-24-1; 5-13
259-6; 315-25-8; 5-10-A
259-7; 315-26-3; 2-com-2-rec1-conv, sumperasma

260-1; 317-2-1; ekthesis; cf. 200
260-2; 317-2-4; ekthesis
260-3; 317-2-11; diorismus1
260-4; 317-3-7; 1-31,1-post-2
260-5; 317-5-2; 6-2-x-eq
260-6; 317-6-4; 5-7-B,6-4,5-11
260-7; 317-8-1; 6-2-Conv

261-1; 317-9-1; ekthesis
261-2; 317-10-2; supra
261-3; 317-10-11; diorismus1
261-4; 317-11-6; 1-12
261-5; 317-12-2; 6-4
261-6; 317-13-1; 6-1,5-11
261-7; 317-14-6; 5-16+
261-8; 317-15-10; 261-2
261-9; 317-16-5; 5-14-a
261-10; 317-17-3; 1-41
261-11; 317-18-11; 1-com-6-x, sumperasma
261-12; 317-19-8; sumperasma; enunciation added

262-1; 317-21-1; ekthesis
262-2; 317-21-10; diorismus1
262-3; 317-23-5; 6-4,6-19; homoion (similar)
262-4; 317-25-10; 6-20
262-5; 317-27-4; 5-11

263-1; 317-29-1; ekthesis
263-2; 317-29-10; diorismus1
263-3; 317-30-9; 1-10
263-4; 317-31-3; 1-com-2; cf.250-4
263-5-1; 317-31-11; 2-6
263-5-2; 317-32-11; 2-6,(1-com-1)
263-5-3; 319-1-11; 2-6,(1-com-A)
263-5-4; 319-2-10; 1-com-3+*
263-6; 319-3-3; *1-com-3+
263-7; 319-4-4; 1-com-B-conv, sumperasma
263-8; 319-5-28; QED

264-1; 319-5-4; ekthesis,diorismus1,(2-6,2-5,1-com-1,1-com-A,1-com-3),sumperasma; another case of 263
264-2; 319-7-9; ekthesis,diorismus1,(2-5,2-6,1-com-1,1-com-A,1-com-3),sumperasma; another case of 263

265-1; 319-10-1; ekthesis
265-2; 319-10-12; diorismus1
265-3; 319-13-1; manifestum
265-4; 319-13-4; 2-5, 1-com-5-x, 1-com-Dis

266-1; 319-17-1; ekthesis
266-2; 319-17-10; diorismus1
266-3; 319-19-6; 1-10
266-4-1; 319-19-13; 2-5, 1-com-5-x, 1-com-Dis
266-4-2; 319-21-4; 1-com-2+
266-5; 319-23-6; 2-9,2-10; according to the position of E
266-6; 319-25-1; 1-com-A,sumperasma

#267; 321; similar to 268 & 269, but different method in solution
267-1; 321-1-1; ekthesis
267-2; 321-2-1; diorismus1
267-3-1; 321-2-8; 1-com-3+
267-3-2; 321-4-2; 2-B; maybe <2-3, 2-2>.i.e. q(AD)-q(DG)=r(ADG)+r(DAG)-q(DG)=r(AGD)+q(DG)+r(DAG)-q(DG)=r(DAG)+r(AGD). A___G__D
267-4-1; 321-4-8; 2-1
267-4-2; 321-5-12; 1-com-3+*
267-5; 321-6-6; *1-com-3+
267-6; 321-7-4; 2-com-1-v
267-7; 321-7-11; QED

268-1; 321-8-1; ekthesis
268-2; 321-9-2; diorismus1
268-3; 321-9-9; 1-3
268-4; 321-10-2; 2-6,2-com-1,1-com-A,1-com-1
268-5; 321-12-3; 1-com-3
268-6; 321-12-12; 2-com-1-v
268-7; 321-13-6; =268-3
268-8; 321-13-12; 1-com-2+,sumperasma

269-1; 321-15-1; ekthesis
269-2; 321-16-2; diorismus1
269-3; 321-16-9; (1-post-2), 1-3
269-4; 321-16-15; =269-1,1-com-A,1-com-3+*
269-5; 321-19-4; *1-com-3+,2-1,2-2,1-com-A,1-com-1
269-6; 321-21-1; 6-29-cor,sumperasma; see 278-5, Jones 2:484

270-1; 321-22-1; ekthesis
270-2; 321-24-1; diorismus1
270-3; 321-24-13; 6-16-Conv,5-19-Cor,5-4,5-17+; see Jones 2:485

271-1; 321-28-1; ekthesis
271-2; 321-29-3; diorismus1
271-3; 321-29-12; <=271-1,6-16-Conv,5-11-x
271-4; 321-32-3; 5-12+,(5-11-x),5-19-Cor,6-16-Dir,sumperasma; AG implicitly replaced by GE
271-5; 323-1-11; diorismus1,sumperasma; enunciation added
271-6; 323-2-11; 1-com-3+,2-3,2-6; for 271-5

272-1; 323-5-1; ekthesis
272-2; 323-6-10; diorismus1
272-3; 323-7-2; manifestum; by compounding
272-4-1; 323-7-6; 6-4;
272-4-2; 323-10-4; <6-23-lem,6-23,5-16>; the areas are composed of these
272-5; 323-10-10; sumperasma; see Jones 2:485
272-6; 323-11-1; aliter; without compounding
272-7-1; 323-12-1; 6-4; see 272-4-1
272-7-2; 323-13-1; 6-1,5-11
272-8; 323-14-4; 6-4,6-22-Dir
272-9; 323-15-7; 5-22
272-10; 323-16-13; 6-2-x, 6-1, 5-11
272-11; 323-18-1; 5-22,sumperasma

273-1; 325-2-1; ekthesis, 1-11
273-2; 325-2-9; diorismus1
273-3; 325-4-11; ekthesis; (case 1)
273-4; 325-5-3; 6-17-Conv
273-5; 325-5-9; 6-6, (6-8-conv);
273-6; 325-6-9; 1-com-1, sumperasma; case(1)
273-7; 325-7-3; ekthesis, 2-14,1-post-1; case(2)
273-8; 325-8-6; 273-6
273-9; 325-9-1; 1-21
273-10; 325-9-7; 1-def-11,sumperasma; case(2)
273-11; 325-10-1; ekthesis; case(3)
273-12; 325-11-6; 273-6,1-21, 1-com-D
273-13; 325-12-9; 1-def-12, sumperasma; case(3)

274-1; 325-14-1; ekthesis,problema
274-2; 325-15-4; fiat
274-3; 325-15-5; Con-2-1; asymptotes meet at center of the section
274-4; 325-17-3; 1-post-1,1-post-2
274-5; 325-17-9; Con-1-50; cf. Con-1-def-4
274-6; 325-18-2; (1-post-2), 1-3
274-7; 325-18-8; (Data-25),(Data-26),Data-def-1; DB given, so that BE given
274-8; 325-18-11; Data-27,Con-1-def-2
274-9; 325-19-1; 1-12
274-10; 325-20-7; Data-30, Data-25
274-11; 325-20-12; 1-3
274-12; 325-21-6; Data-27
274-13; 325-21-12; 1-post-1,1-post-2
274-14; 325-22-8; Data-26
274-15; 325-23-1; <=274-1
274-16; 325-23-6; Data-25
274-17; 325-23-11; <=274-12
274-18; 325-24-2; Data-26
274-19; 325-24-8; 6-2-Dir-eq
274-20; 325-25-12; 1-44; construct the latus rectum
274-21; 325-26-8; Con-2-3; dynamis
274-22; 325-27-6; 2-com-x; sq(2x)=4sq(x) apo
274-23; 325-27-11; 1-com-1; apo ... tetragonon
274-24; 325-28-9; Data-52
274-25; 325-29-2; Data-def-1
274-26; 325-29-8; Data-26
274-27; 325-30-2; Data-57
274-28; 325-30-7; Data-27
274-29; 325-30-11; Con-1-53-Data

275-1; 327-5-1; synthesis
275-2-1; 327-5-6; ekthesis
275-2-2; 327-6-12; 1-post-1, 1-post-2, 1-3
275-2-3; 327-8-4; 1-12
275-2-4; 327-8-9; 1-3
275-2-5; 327-9-2; 1-post-1,1-post-2
275-2-6; 327-9-10; 1-11,1-44
275-2-7; 327-10-13; Con-1-53
275-3; 327-12-3; sumperasma
275-4; 327-12-8; 6-2-Dir-eq
275-5; 327-13-14; 2-com-x,1-com-1; see 274-22
275-6; 327-16-4; Con-2-1

276-1; 327-18-1; ekthesis
276-2; 327-18-5; ekthesis
276-3; 327-18-8; 1-post-1
276-4; 327-18-11; 1-3
276-5; 327-19-4; 1-11
276-6; 327-19-8; diorismus1
276-7; 327-20-8; 1-12
276-8; 327-21-2; Data-30,Data-25
276-9; 327-21-7; 1-3
276-10; 327-21-12; Data-27
276-11; 327-22-4; 1-11
276-12; 327-22-8; Data-29
276-13; 327-23-1; 1-post-2; meet!
276-14; 327-23-8; 275
276-15; 327-26-1; 6-2-x,1-com-3,Con-2-8
276-16; 327-27-6; 275; additional explanation for 276-14
276-17; 329-1-1; synthesis
276-18-1; 329-1-4; ekthesis
276-18-2; 329-2-9; 1-post-1
276-18-3; 329-2-14; ekthesis
276-18-4; 329-3-4; 1-12, 1-3
276-18-5; 329-4-2; 1-11
276-19; 329-4-7; 275; meet!
276-20; 329-6-3; diorismus1
276-21; 329-7-13; manifestum
276-22; 329-8-5; Con-2-8
276-23; 329-8-11; 6-2-x2-eq
276-24; 329-9-6; 1-com-2

277-1; 329-11-1; ekthesis
277-2; 329-12-3; diorismus1
277-3; 329-12-12; 1-3
277-4; 329-13-5; 5-17+,2-6,2-com-1,5-11
277-5; 329-15-6; 5-9-B,2-com-1,1-com-1
277-6; 329-16-5; 6-16-Conv,5-18,5-11-x
277-7; 329-17-13; 5-12
277-8; 329-19-2; sumperasma

278-1; 329-20-1; ekthesis
278-2; 329-20-10; diorismus1
278-3; 329-21-5; (1-post-2), 1-3
278-4; 329-21-11; <2-1,2-com-1,1-com-1>
278-5; 329-22-10; 6-29-cor; See 278-4 para ten auten. See also 269-6

279a-1; 329-24-1; ekthesis
279a-2; 329-25-5; diorismus1
279a-3; 329-26-1; hypothesis,1-post-1; reductio ad absurdum
279a-4; 329-27-7; Con-2-8,1-com-1,1-com-8,absurdum
279a-5; 329-29-10; sumperasma
279b-6; 331-1-1; diorismus1
279b-7; 331-3-2; 275; erroneous argument
279b-8; 331-4-6; Con-1-12; erroneous argument
279b-9; 331-5-8; Con-1-12; erroneous argument
279b-10; 331-6-10; 5-11; erroneous argument
279b-11; 331-8-1; 5-16+; erroneous argument
279b-12; 331-9-6; 2-com-2-rec2; erroneous argument
279b-13; 331-10-1; <5-14-a,2-com-2-v,1-com-6-ineq>; erroneous argument
279b-14; 331-10-8; Con-2-10#; erroneous argument
279b-15; 331-11-7; <6-16-Conv, 5-14-a, 1-com-D>; erroneous argument
279b-16; 331-11-14; sumperasma; erroneous argument
279c-17; 331-13-1; aliter
279c-18; 331-13-4; Con-2-14, sumperasma

280-1; 331-15-1; ekthesis
280-2; 331-16-13; diorismus1
280-3; 331-23-2; 6-22-Dir
280-4; 331-25-4; 11-32,5-11
280-5; 331-30-6; 5-7-Cor, 5-16+
280-6; 331-31-2; (5-16),(5-19-Cor),11-37
280-7; 331-34-1; <<=280-1, 5-18, 6-22-Dir, 5-11, 5-16>
280-8; 333-2-10; (5-11),5-12+
280-9; 333-4-2; sumperasma

281-1; 333-11-1; ekthesis
281-2; 333-11-13; diorismus1
281-3; 333-12-13; ;kataskeue
281-4; 333-13-12; 1-com-B
281-5; 333-14-4; 1-com-2+*
281-6; 333-14-8; *1-com-2+
281-7; 333-15-5; =281-1
281-8; 333-15-14; 1-com-1
281-9; 333-16-8; 1-com-3+*
281-10; 333-16-12; *1-com-3+, 1-com-B-conv
281-11; 333-17-14; 1-com-1,sumperasma
281-12; 333-19-1; similiter; converse

282-1; 333-21-1; ekthesis
282-2; 333-21-7; diorismus1
282-3; 333-24-6; 6-12-x
282-4; 333-26-1; 5-19+
282-5; 333-26-12; sumperasma

283-1; 333-30-1; ekthesis
283-2; 333-30-12; diorismus1
283-3; 333-31-9; 1-com-B2
283-4; 333-32-5; 1-com-B, 1-com-2
283-5; 333-32-15; =283-1, =283-3, 1-com-A-ineq
283-6; 335-2-2; 1-com-B-ineq
283-7; 335-2-10; 1-com-4+*
283-8; 335-3-4; *1-com-4+
283-9; 335-4-1; =283-4
283-10; 335-4-11; 1-com-A-ineq
283-11; 335-5-5; similiter; converse

284-1; 337-2-1; ekthesis
284-2; 337-3-12; 1-11
284-3; 337-4-7; ekthesis
284-4; 337-6-2; diorismus1
284-5; 337-7-1; <1-10,1-post-3>
284-6; 337-7-8; 3-31
284-7; 337-8-5; supra
284-8; 337-8-11; case
284-9; 337-9-9; ekthesis,manifestum; case(1)
284-10; 337-11-1; 3-25, 1-post-1,3-18; for 3-1, 1-11 sufficient. but the center has been implicitely used in 284-5
284-11; 337-12-8; <=248-1
284-12; 337-13-3; 1-32-cor-3
284-13; 337-13-12; 1-com-6-x
284-14; 337-14-2; 3-20
284-15; 337-14-11; <=248-1
284-16; 337-15-2; 6-4,sumperasma; case(1)
284-17; 337-16-1; ekthesis, 1-12; case(2)
284-18; 337-17-13; 3-3-Conv
284-19; 337-18-13; 6-4; homoios
284-20; 337-19-4; 6-def-1
284-21; 337-20-3; <=284-3,3-35,5-11-x,6-1,5-11
284-22; 337-23-7; alter(5-7-Cor,5-19-Cor,5-4,5-12|5-17,5-4,5-18); according to prop.213 b and c. See Jones 2:493.
284-23; 337-24-5; 6-def-1
284-24; 337-25-8; (5-7-Cor),5-22
284-25; 337-26-11; 6-6+*
284-26; 337-27-6; *6-6+
284-27; 337-28-5; 1-com-6-x+
284-28; 337-28-8; 3-20
284-29; 337-29-4; <=284-1
284-30; 337-29-12; 6-4,sumperasma; case(2)

285-1; 337-31-1; sumperasma; converse of 284
285-2; 337-34-4; 6-def-1
285-3; 337-36-4; <6-23-lem, 6-23>

286-1; 339-1-1; ekthesis
286-2; 339-2-11; ekthesis
286-3; 339-3-10; diorismus1
286-4; 339-4-7; 3-1,1-12
286-5; 339-6-4; adfirmatio
286-6; 339-7-1; 3-3-x, 1-com-6-x; for 286-6
286-7; 339-7-11; <=286-4
286-8; 339-8-4; 1-32-cor-3,(1-com-1)
286-9; 339-9-2; 1-31,1-post-1
286-10; 339-10-5; 1-29,1-com-1
286-11-1; 339-11-5; =286-2
286-11-2; 339-12-4; uter(5-17,5-4,5-18|5-7-Cor,5-17, 5-4, 5-18);many alternatives
286-11-3; 339-13-2; 6-2-x2, 5-11-x
286-11-4; 339-15-9; =286-10,6-7
286-12; 339-17-6; (3-def-11-x); definition of similar arcs

287-1; 339-19-1; ekthesis,1-23
287-2; 339-21-3; ekthesis
287-3; 339-22-10; diorismus1
287-4; 339-23-6; 4-5
287-5; 339-24-9; 3-def-11
287-6; 339-25-2; case
287-7; 339-26-1; ekthesis; case(1)
287-8; 339-26-3; 3-36,1-11,6-8-x,1-com-1
287-9; 339-29-10; 2-com-1-v
287-10; 339-30-10; <=287-1
287-11; 339-30-15; 1-4
287-12; 339-32-6; adfirmatio
287-13; 339-32-13; <=287-1,1-com-2; for 287-12
287-14; 341-1-4; 1-com-6-x
287-15; 341-1-11; <=287-1
287-16; 341-2-4; 6-4
287-17; 341-3-1; QED; end of case(1)
287-18; 341-4-1; ekthesis; case(2)
287-19; 341-5-5; 6-1, 5-11; typographical error MGA for KGA
287-20; 341-7-8; =287-5
287-21; 341-8-5; 286
287-22; 341-9-2; 3-def-11-x
287-23; 341-9-10; 3-20, 6-4

288-1; 341-11-1; explanatio
288-2; 341-11-4; ekthesis, 1-23
288-3; 341-13-3; ekthesis
288-4; 341-14-6; diorismus1
288-5; 341-15-2; 1-11
288-6; 341-15-10; 6-8-x
288-7; 341-16-14; 5-11-x,6-1,5-11
288-8; 341-19-1; 1-31
288-9; 341-19-9; 6-2-Dir,5-11
288-10-1; 341-20-8; <=288-2,adfirmatio
288-10-2; 341-21-12; (=288-2,1-com-2),1-29
288-11; 341-22-3; alter(296|297); See Jones 2:495.

289-0; 341-343; ;a lemma proved. the enunciation proved in the next 290
289-1; 341-24-1; ekthesis, 1-23
289-2; 341-26-5; ekthesis
289-3; 341-27-10; diorismus1
289-4; 341-28-8; 4-5; 4-5 includes the determination of center (3-1)
289-5; 341-29-10; adfirmatio; proved below 289-6 to 289-21
289-6; 341-30-9; hypothesis; (for 289-5)
289-7; 341-32-10; 1-12; (for 289-5)
289-8; 341-33-7; 1-32-cor-2; AB>BG implicitely assumed. See Jones 2:495. Many possible alternatives (for 289-5)
289-9; 341-34-8; <=289-1; (for 289-5)
289-10; 343-1-2; (1-def-11,1-com-A-ineq); if A is obtuse and A=B, then B is obtuse. (for 289-5)
289-11; 343-1-10; 1-13, 1-def-12;(for 289-5)
289-12; 343-2-5; 1-12,1-32-cor-2; (for 289-5)
289-13; 343-3-7; supra; (for 289-5)
289-14; 343-3-12; 3-3-Conv; (for 289-5)
289-15; 343-4-7; <1-com-8,1-com-A-ineq>; (for 289-5)
289-16; 343-5-1; 1-com-8,1-com-T+; (for 289-5)
289-17; 343-5-9; 3-35,2-com-2-rec1,1-com-A-ineq; (for 289-5)
289-18; 343-7-1; <=289-1; (for 289-5)
289-19; 343-8-5; absurdum; (for 289-5)
289-20; 343-8-8; 2-com-2-rec1,<1-com-8,1-com-A-ineq,1-com-T+>,(3-35,1-com-A-ineq,<=289-2,5-14-a);for 289-19 (for 289-5)
289-21; 343-10-2; sumperasma; (for 289-5)

290-1; 343-12-1; 1-12
290-2; 343-13-2; <=289-2,3-35,6-1,5-11
290-3; 343-16-3; 3-3-Conv
290-4; 343-16-12; (5-18,5-4,5-7-Cor,5-17); transformation of proportion. possible in many ways. see also 286-11-2
290-5; 343-17-11; adfirmatio
290-6; 343-18-8; 6-4,(1-com-3); for 290-5
290-7; 343-19-7; 5-22
290-8; 343-20-8; 6-6+*
290-9; 343-20-12; *6-6+
290-10; 343-21-12; =290-6, 1-32-cor-3
290-11; 343-22-10; 1-com-2+
290-12; 343-23-6; 1-com-6-x+
290-13; 343-23-9; 3-20
290-14; 343-24-8; <=289-1
290-15; 343-25-2; 6-4

291-1; 343-27-1; 6-def-1,<6-23-lem, 6-23>; Though many possibilities, 285-3 suggests the use of compounded ratio

292-1; 345-1-1; ekthesis, 1-12
292-2; 345-5-5; diorismus1
292-3; 345-6-9; 4-5,1-post-2,[3-1],1-12
292-4; 345-9-11; <3-35,5-11-x,6-1,5-11>
292-5; 345-11-2; (3-3-Conv),<5-18,5-4,5-19-Cor>; see 286-11-2
292-6; 345-12-1; 1-post-1
292-7; 345-12-5; 6-2-Dir
292-8; 345-13-3; 6-2-Dir
292-9; 345-13-14; 5-11
292-10; 345-14-10; 1-post-1
292-11; 345-15-1; 3-def-11, (1-com-3)
292-12; 345-16-2; 3-def-11, 1-com-6-x
292-13-1; 345-18-5; 3-3-x
292-13-2; 345-19-7; 3-3-x
292-14; 345-22-1; 6-4
292-15; 345-23-11; =292-9
292-16; 345-24-10; 5-22
292-17; 345-25-8; 1-32-cor-2;
292-18; 345-26-8; 6-7
292-19; 345-27-9; <=292-13
292-20; 345-28-6; uter(1-com-2|1-com-3);
292-21; 345-29-4; 3-20
292-22; 345-29-13; 6-4

293-1; 345-31-1; explanatio
293-2; 345-33-2; ekthesis
293-3-1; 345-35-1; ekthesis
293-3-2; 345-35-11; diorismus1
293-4; 347-1-5; 4-5,1-post-2,1-post-1
293-5; 347-3-4; 3-22,(1-def-12)
293-6; 347-4-2; 3-35,5-11-x,6-1,5-11
293-7; 347-7-3; (5-7-Cor),6-22-Dir
293-8; 347-8-6; <=292-1
293-9; 347-9-10; 5-22
293-10; 347-11-1; <=293-5
293-11; 347-11-11; <=292-1
293-12; 347-12-5; 293-2
293-13; 347-14-1; 3-21,6-4
293-14; 347-15-7; 6-4

294-1; 347-17-1; ekthesis, problema
294-2; 347-18-7; fiat,1-31
294-3; 347-19-6; 1-30
294-4; 347-19-10; <=294-1
294-5; 347-20-4; Data-28
294-6; 347-20-9; 1-31
294-7; 347-21-5; 1-34
294-8; 347-21-12; <=294-2
294-9; 347-22-5; Data-def-1
294-10; 347-22-11; =294-5
294-11; 347-23-1; <=294-1
294-12; 347-23-6; Data-27
294-13; 347-23-12; =294-6,=294-12
294-14; 347-24-11; Data-28
294-15; 347-25-4; <=294-1
294-16; 347-25-9; Data-25
294-17; 347-25-14; <=294-2
294-18; 347-26-8; Data-28
294-19; 347-27-1; synthesis
294-20; 347-27-6; 1-31,1-3
294-21; 347-30-4; 1-31
294-22; 347-31-12; diorismus1
294-23; 347-32-4; 1-34,1-com-1
294-24; 347-34-6; sumperasma
294-25; 347-34-12; manifestum; uniqueness
294-26; 347-35-4; (6-4, 5-14-a)

295-1; 349-1-1; ekthesis
295-2; 349-3-1; diorismus1
295-3; 349-3-12; 1-11
295-4; 349-5-1; 11-def-4
295-5; 349-5-10; 11-def-3
295-6; 349-6-3; similiter; as in 295-4 to 295 5
295-7; 349-6-9; =295-3
295-8; 349-7-1; 11-5+*
295-9; 349-8-5; *11-5+

296-1; 349-10-1; ekthesis, 1-23
296-2; 349-12-3; 1-23
296-3; 349-13-2; diorismus1
296-4; 349-15-1; 1-post-2,6-12,1-post-1
296-5; 349-16-8; 6-6
296-6-1; 349-17-6; =296-2,=296-4
296-6-2; 349-19-2; 5-23+
296-7; 349-20-8; (1-com-3)
296-8; 349-20-12; 6-6
296-9; 349-21-10; =296-5
296-10; 349-22-7; 1-32-B; in a rectangular triangle, the remaining two angles together make a right angle.
296-11; 349-22-14; 1-com-A
296-12; 349-23-6; <=296-1
296-13; 349-24-3; 3-22-conv
296-14; 349-24-13;3-21,1-com-1
296-15; 349-26-1; <=296-1
296-16; 349-27-3; 6-4; homoios
296-17; 349-28-2; similiter

297-1; 351-1-1; explanatio; better alternative to 296
297-2; 351-1-3; 1-10
297-3; 351-2-9; 5-18,5-4,5-19-Cor,(3-31-conv),5-11-x
297-4; 351-5-12; <=296-1,1-com-8
297-5; 351-7-5; 6-7
297-6; 351-8-5; 1-com-6-x
297-7; 351-8-8; 3-20
297-8; 351-9-4; <=296-1
297-9; 351-9-13; 6-4; homoios
297-10; 351-10-8; similiter; it is hard to determine what part to repeat.

298-1; 353-2-1; ekthesis, 1-post-1
298-2; 353-3-2; diorismus1
298-3-1; 353-4-2; 1-47
298-3-2; 353-5-1; 1-47,1-com-A
298-3-3; 353-7-8; 2-4#,1-com-3+,1-com-E; 2-7 should be applied see Jones 2:498
298-4; 353-8-6; 1-com-6-x
298-5; 353-10-9; QED

299-1; 353-11-1; ekthesis, 1-post-1
299-2; 353-12-4; diorismus1
299-3; 353-13-5; 1-37,2-4,(1-com-3)
299-4; 353-16-13; 1-com-6-x

300-1; 353-18-1; ekthesis; Zeta must be between Delta and THeta
300-2; 353-19-5; ekthesis
300-3; 353-19-12; diorismus1
300-4; 353-20-7; 1-10
300-5; 353-21-6; 1-com-6-ineq
300-6; 353-21-13; 2-com-2-r
300-7; 353-22-10; <=300-1
300-8; 353-23-8; 1-com-4-v
300-9; 353-24-4; 2-com-2-v
300-10; 353-24-11; 1-com-6-ineq; or 300-5
300-11; 353-25-4; 1-com-4-x+

301-1; 355-1-1; ekthesis
301-2; 355-2-3; diorismus1
301-3; 355-2-12;
301-4; 355-3-2; 1-10; argument not completed

302-1; 355-4-1; ekthesis
302-2; 355-6-1; diorismus1
302-3; 355-7-2; 1-com-4-v
302-4; 355-8-1; adfirmatio
302-5; 355-9-12; 1-com-3-ineq; for 302-4
302-6; 355-10-7; 1-com-T+

303-1; 355-13-1; ekthesis
303-2; 355-14-1; diorismus1
303-3; 355-14-12; 6-1
303-4; 355-15-8; 6-1
303-5; 355-17-6; =303-3
303-6; 355-18-3; ; 2*2=4

304-1; 355-20-1; ekthesis
304-2; 355-21-16; diorismus1
304-3; 355-23-8; <=304-1,5-19-Cor
304-4; 355-25-10; 6-22-Dir
304-5; 355-26-13; <6-1,5-11>
304-6; 355-28-1; (5-7-Cor),5-22
304-7; 355-29-4; <=304-1,5-7-Cor+,5-18+
304-8; 357-1-7; <=304-3
304-9; 357-2-5; 5-22+
304-10; 357-3-4; 5-17
304-11; 357-3-16; <6-1,5-11>; unique expression
304-12; 357-4-12; =304-6
304-13; 357-5-15; (5-7-Cor),5-22

305-1; 357-8-1; ekthesis
305-2; 357-9-10; diorismus1
305-3; 357-10-5; 1-3
305-4; 357-10-12; 2-10; Jones in another way (2-4). See Jones 2:500
305-5-1; 357-11-8; adfirmatio, Data-3-x
305-5-2; 357-12-10; 2-6; for 305-5-1
305-6; 357-13-7; Data-3,2-4
305-7; 357-14-6; Data-55
305-8; 357-15-5; 1-com-alg
305-9; 357-16-1; Data-3-x
305-10; 357-16-6; (Data-52, Data-4, Data-55); possible reconstruction. BA -- BA2 -- (BA2+BG2)-BA2=BG2 -- BG

306-1; 357-17-1; ekthesis
306-2; 357-18-13; diorismus1
306-3-1; 357-20-2; 5-7-cor-1, <=306-1
306-3-2; 357-21-13; 5-11-x, 5-18, 6-1
306-4-1; 357-23-2; (<=306-1,5-7-Cor,5-18, 6-22-Dir, 5-11)
306-4-2; 357-24-6; (<=306-1, 5-19-Cor,6-1)
306-5; 357-25-7; (5-7-Cor),5-22

307-1; 357-27-1; ekthesis
307-2; 357-28-2; diorismus1
307-3; 357-29-13; 1-com-3-ineq
307-4; 359-1-6; 1-com-3-ineq
307-5; 359-2-1; 2-com-2-rec2
307-6; 359-3-6; <5-8-A,5-8-B,5-13-ineq>

308-1-1; 359-5-1; ekthesis
308-1-2; 359-8-3; diorismus1
308-2; 359-9-2; 1-44-x
308-3; 359-10-8; 5-11-x,6-1,5-11
308-4; 359-12-10; 5-7-cor-1
308-5-1; 359-13-9; 5-P
308-5-2; 359-14-9; 5-P; ambiguous phrase
308-6; 359-15-9; <=308-2,1-com-3*+
308-7; 359-17-4; *1-com-3+
308-8; 359-18-4; 5-7-A
308-9; 359-19-12; similiter; as in 308-6 to 308-8
308-10; 359-21-9; =308-5, 5-P
308-11; 359-23-9; 5-11
308-12; 359-25-1;
308-13; 359-25-10; 5-P; Eta,Theta can be on other side.
308-14; 359-26-8; 5-P

309-1; 361-1-1; ekthesis
309-2-1; 361-3-1; diorismus1; case1
309-2-2; 361-4-9; diorismus1; case2
309-3-1; 361-5-2; 5-19-Cor-ineq; case1
309-3-2; 361-7-9; 5-19-Cor-ineq; case2
309-4-1; 361-8-2; 5-13-x; case1
309-4-2; 361-9-10; 5-13-x; case2
309-5-1; 361-10-3; 5-18-ineq, 5-19-Cor-ineq; case1
309-5-2; 361-11-11; 5-18-ineq, 5-19-Cor-ineq; case2
309-6; 361-12-5; 5-7-cor-1
309-7-1; 361-13-6; 5-22-ineq; case1
309-7-2; 361-15-3; 5-22-ineq; case2

310-1; 361-16-1; ekthesis
310-2; 361-18-3; diorismus1
310-3-1; 361-19-5; 5-19-Cor-ineq+, 5-17-ineq+
310-4; 361-21-9; 5-19-Cor-ineq+, 5-17-ineq+

311-1; 361-24-1; ekthesis
311-2; 361-26-1; diorismus1
311-3-1; 361-27-2; 5-17-ineq+
311-3-2; 361-29-2; 5-19-Cor-ineq+, 5-17-ineq+

312-1; 363-2-1; ekthesis,diorismus1,Con-1-21
312-2; 363-4-1; ekthesis,diorismus1
312-3; 363-4-9; ; see Jones 2:503ff

313-1; 363-8-1; ekthesis,diorismus1; focus-directrix
313-2; 363-11-2; diorismus1; focus-directrix
313-3; 363-11-6;; proved int the following 314-317

314-1; 363-13-1; ekthesis
314-2; 363-14-9; diorismus1; (3 cases)

315-1; 363-17-1; ekthesis; case1 of 314
315-2; 363-17-9; <=314-1,=315-1,1-3
315-3; 363-19-1; <2-com-1,1-com-3,2-6>
315-4; 363-19-10; 1-10
315-5; 363-20-2; (Data-7), Data-27
315-6; 363-20-6; 1-com-Dis
315-7; 363-20-13; 2-com-x
315-8; 363-21-9; <=314-1,Data-3-x
315-9; 363-22-2; <<=315-3,=315-7,1-com-1,2-com-x>
315-10; 363-23-3; Con-1-11-Data
315-11; 363-25-1; synthesis
315-12; 363-25-6; ekthesis
315-13; 363-27-1; (1-com-2,1-3),Con-1-52
315-14; 365-4-9; 1-11
315-15; 365-4-14; diorismus1
315-16; 365-5-10; 1-12,1-3
315-17; 365-6-12; 1-com-Dis
315-18; 365-8-4; 2-com-x
315-19; 365-9-5; 1-com-2+*
315-20; 365-10-5; *1-com-2+,(2-com-x),<2-6,=315-13>; 2(AB.ZD)=(2AB.ZD)=(P.ZD)=GD^2
315-21; 365-11-2; sumperasma

316-1; 365-12-1; ekthesis; 2 cases, The ratio should be converse
316-2; 365-15-9; diorismus1; for each case
316-3; 365-17-7; 6-12-x
316-4; 365-19-9; <5-14-a,2-com-2-conv>
316-5; 365-21-7; 1-3
316-6; 365-21-14; 5-19, 2-6, 5-11-x
316-7; 365-24-9; Data-54,<5-7-A,Data-def-2>,uter(Data-6-x|Data-5),6-12;
316-8; 365-26-9; uter(5-12-Data+|5-19-Data)
316-9; 365-27-6; <=316-7,Data-6
316-10; 365-29-1; 6-12; Read AB:B(Theata)
316-11; 365-29-10; Data-def-2; Depend on 316-10 above
316-12; 365-30-6;
316-13; 365-30-10; 5-19-Data+
316-14; 367-1-6; =316-8, 316-13, Data-70
316-15; 367-2-6; =316-6
316-16; 367-3-4; Data-8
316-17; 367-4-4; <=316-7, , =316-12
316-18; 367-4-11; Con-1-21
316-19; 367-6-3; sumperasma; strange?

317-1; 367-8-1; synthesis; in Jones' figures, the points sigma are misplaced
317-2; 367-8-6; 6-12; the ratio should be inverse
317-3; 367-12-1; 1-3,6-12-x;
317-4; 367-13-8; 6-12-x;
317-5; 367-14-9; uter(Con-1-56|Con-1-54)
317-6; 367-20-12; 1-12
317-7; 367-21-2; diorismus1
317-8; 367-21-9; 1-12, 6-12-x;
317-9; 367-23-15; 5-7-Cor, uter(5-12|5-19)
317-10; 367-25-10; adfirmatio; proved above in analysis in 316-9 to 316-13
317-11; 367-26-11; supra
317-12; 367-27-3; 6-23
317-13-1; 367-28-15; <=317-5
317-13-2; 369-2-1; 6-23-def
317-13-3; 369-4-1; =317-12
317-13-4; 369-6-1; (5-11), 6-23-lem-2, (<=317-4, <=317-8),6-22-Dir
317-14; 369-8-5; 5-12
317-15; 369-10-5; sumperasma

318-1; 369-12-1; explanatio
318-2; 369-13-1; explanatio
318-3; 369-14-2; 1-post-1, 1-12, Data-def-2
318-4; 369-15-4; diorismus1; 3 cases
318-5; 369-18-2; ekthesis; case 1
318-6; 369-19-9; diorismus1; case 1
318-7; 369-20-3; 1-12, Data-30, 1-31
318-8; 369-21-7; (1-28), 1-34, 1-47, 2-com-1, 1-com-1
318-9; 369-23-11; <=318-7
318-10; 369-24-2; <=318-2, Data-25
318-11; 369-24-8; 315
318-12; 369-26-1; synthesis; case(1) only
318-13; 369-26-4; Data-def-4, 1-12, Data-30, (Data-25), 315, 1-12
318-14; 369-30-9; diorismus1, 1-com-1, 1-12
318-15; 371-2-11; 1-12
318-16; 371-3-1; 318-13
318-17; 371-4-1; (1-28), 1-34, 1-47
318-18; 371-5-2; 2-com-1, 1-com-1
318-19; 371-5-11; 2-com-1-conv
318-20; 371-6-3; sumperasma

319-1; 373-2-1; ekthesis, 1-post-1
319-2; 373-4-11; diorismus1
319-3; 373-5-6; 5-11
319-4; 373-7-1; 5-18+, 5-16+
319-5; 373-7-13; <=319-1
319-6; 373-8-9; 5-11
319-7; 373-9-1; 5-9-A
319-8; 373-9-7; 1-post-1, 1-5
319-9; 373-10-8; adfirmatio; proved in 319-10 to 319-32
319-10; 373-11-2; 1-31, 1-32-A, 1-15
319-11; 373-13-10; <1-32-B, 1-com-3-ineq>; maybe 1-32-A instead of 1-32-B
319-12; 373-14-10; 1-10
319-13; 373-15-4; adfirmatio; but not proved
319-14; 373-16-9; supra
319-15; 373-17-5; supra
319-16; 373-17-8; <=319-7, 3-28, 3-27
319-17; 373-18-7; 3-21, =319-8
319-18; 373-20-6; adfirmatio; equivalent to 319-2
319-19; 373-20-14; case; reductio ad absurdum
319-20; 373-21-9; 1-post-2; case(1), assumption about intersection of lines
319-21; 373-23-7; <=319-20, 319-17, 6-3-Dir
319-22; 373-26-12; 6-8, 6-3-Dir, 5-11
319-23; 373-27-10; <=319-20, <=319-17; for 319-22
319-24; 373-28-7; 5-11
319-25; 373-29-1; <=319-1, 5-8-A, 5-8-B, 5-13-ineq#; Eecke et Jones se trompent
319-26; 373-30-11; adfirmatio; proved in 319-27
319-27; 373-31-2; =319-24, 5-B
319-28; 373-31-13; sumperasma; end of case(1)
319-29; 373-32-9; adfirmatio;case (2) proved in 319-30 to 319-33
319-30; 373-34-6; similiter; as in 319-21 to 319-24
319-31; 373-35-6; 5-8-A,5-8-B, 5-13-ineq#; see 319-25 above.
319-32; 375-1-9; adfirmatio
319-33; 375-2-1; <=319-1, 5-B

320-1; 375-3-1; ekthesis
320-2; 375-4-1; diorismus1
320-3; 375-4-8; 5-11,5-18+,5-16+
320-4; 375-6-9; 5-9-A

321-1; 375-7-1; ekthesis
321-2; 375-8-13; 1-post-1
321-3; 375-9-5; diorismus1
321-4; 375-10-1; analysis
321-5; 375-10-2; 6-8
321-6; 375-11-2; 6-def-1, 5-11
321-7; 375-12-5; 6-3-Conv
321-8; 375-13-1; 1-com-H
321-9; 375-13-8; 6-3-Conv
321-10; 375-14-8; 1-com-H
321-11; 375-15-2; (1-post-4, 1-com-6-x), 1-com-Hv
321-12; 375-15-7; <=321-1
321-13; 375-15-13; 3-22-conv
321-14; 375-16-5; (1-post-4, 1-com-6-x); See 321-11
321-15; 375-17-2; <3-26, 3-29>
321-16; 375-17-9; 320; end of analysis

END of the INDEX

[]	unnecessary argument
()	conjecture
<>	two or more steps are included in one statement
=	cite previous statement
<=	cite a part of previous statement
#	erroneous application
+	explicit application (not always indicated)
*	continue to/from next/previous sentence
uter(xxx\|yyy)	either xxx or yyy is used, according to the configuration.
alter(xxx\|yyy)	xxx or yyy (or something other) is used.

absurdum	"it's absurd"; statement in the end of reductio ad absurdum
adfirmatio	statement in the course of a proof usually proved later in the proposition
aliter	"in other ways"; introduce an alternative proof.
analysis	analysis of a problem begins here
diorismus1	assertion of the proposition in particular context; usually follows ekthesis.
diorismus2	diorismus (statement of limit of possibility)
ekthesis	ekthesis (particular enuncitation)
kataskeue	constructions before the proof (rare, only when no specific proposition can be cited for the construction.)
protasis	protasis (general enunciation) (rare in Pappus)
similiter	can be proved in the same way
sumperasma	repetition of the theorem
supra	see previous argument
synthesis	synthesis of an argument; usually follows analysis.

Index of the Propositions Used in Book 7 of Pappus' Collection Ken SAITO

Part 3: Index in the order of Pappus' text

Legenda:

Index

Index of the Propositions Used in Book 7 of Pappus' Collection
Ken SAITO