The History of Mathematical Proof in Ancient Traditions

Archimedes’ writings: through Heiberg’s veil 183 Heiberg, for reasons that will be made clear immediately). Why should the text ...

184 reviel netz Th is should be read in full to get a sense of the manuscript evidence Heiberg had to contend with (I quote toge ...

Archimedes’ writings: through Heiberg’s veil 185 Heiberg’s intention was of course to take A and, by transforming it into B, to ...

186 reviel netz Heiberg’s ordering has been adopted in all subsequent editions and translations, notably those by T. L. Heath, P ...

Archimedes’ writings: through Heiberg’s veil 187 ‘top fi ve Archimedean geometrical rolls’, ‘top four Archimedean physical rolls ...

188 reviel netz Semi-Regular Solids 19 Stomachion Book of Lemmas Measurement of the Circle Method Conoids and Spheroids Sphere a ...

Archimedes’ writings: through Heiberg’s veil 189 Some of the manuscripts that give evidence for Archimedes’ works contain a sign ...

190 reviel netz volume, rather than in the third and fi nal volume (which is where critical editions typically present their maj ...

Archimedes’ writings: through Heiberg’s veil 191 form he would speak anyway, since he would not even think about which language ...

192 reviel netz following them, serving in this way to articulate the writing in a highly marked form. Following that, Heiberg w ...

Archimedes’ writings: through Heiberg’s veil 193 proposition that also calls for a diagram. Codex A also marked this propo- siti ...

194 reviel netz analysis-and-synthesis pairs typical of SC ii , as well as the extraordinar- ily complex internal structures – p ...

Archimedes’ writings: through Heiberg’s veil 195 of such numerals in general. While the manuscripts do usually possess numerals ...

196 reviel netz here we can test Heiberg’s judgement. Heiberg’s decisions elsewhere – that this or that was by Archimedes himsel ...

Archimedes’ writings: through Heiberg’s veil 197 results in pure geometry. Th is is oft en done by obtaining a common centre of ...

198 reviel netz is measurable, the intersection of the triangular prism and the cylinder is measured as well. All this makes sen ...

Archimedes’ writings: through Heiberg’s veil 199 Palimpsest, in a form which was mostly illegible to Heiberg. Th ere follows a g ...

200 reviel netz over in Heiberg’s reconstruction though, once again, let this not be construed as a criticism of Heiberg: for, o ...

Archimedes’ writings: through Heiberg’s veil 201 related passage that was easier to read – just as he reconstructed proposition ...

202 reviel netz claim imaginable, and then fi nally develops in full a sequence of mere arithmetical equivalences. Th is proposi ...