The History of Mathematical Proof in Ancient Traditions

Th e Elements and uncertainties in Heiberg’s edition 123 Appendix Th e appendix contains three tables (each describing one of th ...

D i c h o t o m y 1 (Heiberg’s edition versus medieval Arabic and Arabo-Latin tradition a^ ) T y p e o f divergence Textual elem ...

Lemmas c^ VI.22/23; X.9/10; X.13/14; X.16/17; X.18/19; { X.20/21}; X.21/22; {X .27/28}; X.28/29 {1}, {2}; { X.29/30}; { X.31/32} ...

D i c h o t o m y 2 (Adelardian traditions versus Ishâq–Th âbit tradition received by Gerard of Cremona) a Type of divergence Te ...

Changes in order In Df. In Prop. Df. VII .21–23 VI .23–26; VII .7–13; VIII .19–20; IX .11–12; IX.14–19–20; IX.25–26–27; X.10–12– ...

Dichotomy 3 P versus Th^ Type of divergence a^ Textual element In Books i to ix In Books x to xiii (+ / –) Propositions VII .20 ...

Double proofs II.4 aliter . exists in Th & gr. lat. In mg. by a late hand in P^ VII .31 aliter . exists in Th & gr. lat. ...

130 bernard vitrac Bibliography Editions and translations of versions of Euclid’s Elements Besthorn , R. O. , J. L. Heiberg , th ...

Th e Elements and uncertainties in Heiberg’s edition 131 Editions and translations of commentators Pappus of Alexandria Th omson ...

132 bernard vitrac Tummers , P. M. J. E. (ed.) ( 1994 ), Anaritius’ Commentary on Euclid: Th e Latin Tran sl ati on i – iv. Arti ...

Th e Elements and uncertainties in Heiberg’s edition 133 ( 2000 ) ‘ Ahmad al-Karâbîsî’s Commentary on Euclid’s “Elements ”’, in ...

134 bernard vitrac Knorr , W. R. ( 1996 ) ‘ Th e wrong text of Euclid: on Heiberg’s text and its alternatives ’, Centaurus 36 : ...

2 Diagrams and arguments in ancient Greek mathematics: lessons drawn from comparisons of the manuscript diagrams with those in m ...

136 ken saito and nathan sidoli In fact, a few scholars of the ancient mathematical sciences have for many years made critical s ...

Diagrams and arguments in Greek mathematics 137 printed editions of the text, however, makes it clear that the diagrams accompan ...

138 ken saito and nathan sidoli copied, despite the fact that it could have been easily corrected from consid- erations of the o ...

Diagrams and arguments in Greek mathematics 139 commentaries to the Elements , the diagrams were taken directly from Leiden 399 ...

140 ken saito and nathan sidoli Th eodosius’ Spherics , respectively, both contain critical diagrams, and a recent translation o ...

Diagrams and arguments in Greek mathematics 141 squares representing rectangles, and symmetry in the fi gure where none is requi ...

142 ken saito and nathan sidoli in the manuscripts the base parallelogram ABΓΔ is always depicted as a rectangle, as seen in Bod ...