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The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2)

Note 171 — CHAP. IX. (continued 2)

Thomas Taylor translation

Illustration from The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2): To which are added, A history of the restoration of Platonic theology, by the latter Platonists: And a translation from the Greek of Proclus's Theological elements

Fig. I. Fig. II.

Thus let a part A E B cut off by the diameter A B (fig. I.) of the circle A E B D be placed on the other part A D B, as in fig. II. Then, if it is not equal to the other part, either A E B will fall within A D B, or A D B within A E B: but in either case, C E will be equal to C D, which is absurd.

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