Index of Propositions used in Apollonius' Conics: Summary

Ver 1.00 15/Apr/1998

Apollonius Proposition Index

Ken SAITO

Ver 1.00, Apr. 15, 1998

Summary, Acknowledgements and Bibliography

These web pages are the essential part of the report of the research ``Restoration of the Tool-Box of Greek Mathematics, containing the index of the propositions used in the first four books of Apollonius' Conics.

Similar index for Pappus' Collection Book 7 is also available; those for some of Archimedes' works ( On the Sphere and Cylinder, On Conoids and Spheroids and On Spirals) are forthcoming.

The text of the Conics, On the Sphere and Cylinder and On Conoids and Spheroids was analyzed by Roberta Tassora (Pisa University, Italy). Without her diligent and accurate work, this research would not have been possible.

The analysis of On Spirals is due to Yoko Akahori, Ken'ichi Sato and Tomohiro Hayashi (Note that there are two persons named Ken'ichi Sato, both active in the history of Wasan (Japanese Mathematics). I refer to the younger one here). I prepared the final version of the indices that appears in this volume and on my web pages, and am responsible for any error or imperfection.

This research was funded by the Grant-in-aid for Scientific Research of the Ministry of Education, Science, Sports and Culture, in academic years 1995-96, 1996-97 and 1997-98,

Bibliography

[Apollonius 1891/93] Apollonii pergaei quae graece exstant cum commentariis antiquis. 2 vols. Ed. and trans. I.L.Heiberg. Leipzig. Reprint, Stuttgart, 1974.
[Mueller 1981] Mueller, Ian. Philosophy of Mathematics and Deductive Structure in Euclid's `Elements.' Cambridge, Mass.: The MIT Press.

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