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. (120KB)
Bibliography and Acknowledgements (this file)
Bibliography and Acknowledgements
Bibliography
- [Eecke]
Pappus d'Alexandrie. La collection mathématique. tr. Paul Ver Eecke. 2 vols. (consecutive pagination).
Paris, 1933. Reprint, Paris: Blanchard, 1982.
- [Gardies 1991]
Gardies, J.-L.
"La proposition 14 du livre V dans l'économie
des Eléments d'Euclide." Revue d'histoire des sciences, 44:457-467.
- [Hultsch]
Pappus. Pappi Alexandrini Collectionis quae supersunt. ed. and trans. F. Hultsch. 3 vols. Berlin, 1876-1878.
- [Jones]
Pappus of Alexandria. Book 7 of the Collection. Ed. and trans. Alexander Jones.
2 vols. New York: Springer, 1986.
- [Mueller 1981]Mueller, Ian. Philosophy of Mathematics and Deductive Structure
in Euclid's `Elements'.
Cambridge, Mass.:The MIT Press.
- [Saito 1994]
Saito, Ken.
"Proposition 14 of Book V of the Elements
— A Proposition that remained
a Local Lemma," Revue d'histoire des sciences. 47:273-284.
Acknowledgements
This study was financed by a research grant of Ministry of Education
in the academic year 1993-1994.
Thanks are also due to:
Koshiro HATORI, Inumaru YONEYAMA, Kazuo KAMIYAMA,
Yohko AKAHORI, Takuji OKAMOTO, Kenji ITO, and Ken'ichi SATO,
who have undertaken the task of analyzing Pappus' text;
and to Reviel Netz who showed his interest in this project, and
gave me invaluable advices.
Their help, however, does not mean that
the author is in any way exempt from the responsibility
for any error or imperfection in this index.