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

Note 20 — BOOK III. (continued 2)

Thomas Taylor translation

Mr. Simson having a great objection to the word infinite, though it is adopted by Euclid, substitutes in its place the word unlimited; but not in my opinion with any success. For if by unlimited, he means infinite, the alteration is ridiculous: but if he means only indefinite, or a line which has boundaries, though they are not ascertained, the problem will not succeed, as the ensuing commentary most beautifully evinces. I only add, that the reader, if he be a man of taste, and possesses any spark of the philosophic genius, must be greatly delighted with the digression of Proclus in this comment, concerning the nature of infinite, as it is perfectly philosophical and truly sublime.

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