The Commentaries of Proclus on the Timaeus of Plato, in Five Books; Containing a Treasury of Pythagoric and Platonic Physiology - Softcover

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This historic book may have numerous typos, missing text, images, or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1820. Not illustrated. Excerpt: ... middle,1 and reciprocate with each other. Since however we have premised thus much, let us proceed to the text of Plato. '.' In the first place, he took one part from the whole. After this, he separated a second part double of the first: and again, a third part, sesquialterof the second, but triple of the first." The mathematical theory ia neither to be entirely despised [in the present discussion] nor to be alone embraced itself by itself. For the latter will not exhibit to us the things which Pluto intended to represent to ui in images, and the former will cause the whole exposition to be unproductive of advantage. For it is necessary to consider the essence of the things'which are the subject of discussion, as on a secure foundation. As we observed therefore before, we shall proceed in a middle wny, first mathematically, in a manner adapted to the subjects, and after this we shall unfold the division presented to our view in the text. The Pythagoreans then conceive magnificently, respecting the division or section of the rule in this place, viz. that Plato unfolds in it the essential causes, and the reasons which are generative of mathematical theorems. I

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