The History of Mathematical Proof in Ancient Traditions

163 3 Th e texture of Archimedes’ writings: through Heiberg’s veil Reviel Netz Th e reading of Archimedes will always be inextri ...

164 reviel netz Mugler’s Budé’s text ( 1970 –2) goes further: it not merely translates the text of the second edition of Archime ...

Archimedes’ writings: through Heiberg’s veil 165 we have some evidence from all three traditions). 2 Th e agreement between A an ...

166 reviel netz in a descending order of size. Th e manuscripts have them arranged side by side, all of equal size. Th e proposi ...

Archimedes’ writings: through Heiberg’s veil 167 Th e manuscripts’ diagram avoids this diffi culty altogether. Th e three equal ...

168 reviel netz around the radius E. It thus follows also that A < Δ. Th e diagram displays the inequality between the lines ...

Archimedes’ writings: through Heiberg’s veil 169 himself knew Greek mathematics only via editions such as Heiberg’s. Little coul ...

170 reviel netz which he is consistent. Th e manuscripts, on the other hand, insist on the preference, where possible, of a more ...

Archimedes’ writings: through Heiberg’s veil 171 some diagrams in the manuscripts take a vertical arrangement (even though this ...

172 reviel netz applicable (which is rare), by Heiberg. My interpretation of this evidence is based on the facts shown above – t ...

Archimedes’ writings: through Heiberg’s veil 173 indeed ‘correct’; the manuscripts’ smaller A is in a sense ‘false’. 8 Th e manu ...

174 reviel netz circle. A square perhaps could still do, but this off ers a very special case of the 4 n -sided regular polygon: ...

Archimedes’ writings: through Heiberg’s veil 175 32–3, 37–42). I fi nd it hard to see how a scribe, asked to copy a manuscript w ...

176 reviel netz part of the logic of the text and for that reason, on the one hand, did not value them enough to care for their ...

Archimedes’ writings: through Heiberg’s veil 177 (2) Another option was to avoid the square brackets altogether, leaving his dou ...

178 reviel netz beyond a single argument or so). In Table 3.1 , I list for each treatise its length in Teubner Greek pages, as w ...

Archimedes’ writings: through Heiberg’s veil 179 Several factors emerge. Heiberg’s tendency was to introduce brackets much more ...

180 reviel netz of Koine anywhere in the manuscript tradition of ‘Doric treatises’ – a pres- ence which is oft en considerable, ...

Archimedes’ writings: through Heiberg’s veil 181 many verbal and stylistic variations on the norm elsewhere. 12 Th e same goes f ...

182 reviel netz First, this is an argument headed by the particle gar , usually translated ‘for’: having established a claim, th ...