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

Author: Proclus, 412-485; Taylor, Thomas, 1758-1835 [Translator]

Genre: Category: Mathematics

Language: English

License: Public domain

Source: https://www.gutenberg.org/ebooks/74253

Amazon editions: https://www.amazon.com/s?k=The+philosophical+and+mathematical+commentaries+of+Proclus+on+the+first+book+of+Euclid%27s+Proclus&tag=cyberlibrar00-20

## Summary

It is necessary that the mathematical essence should neither be separated from the first nor last genera of things, nor from that which obtains a simplicity of essence; but that it should obtain a middle situation between substances destitute of parts, simple, incomposite and indivisible, and such as are subject to partition, and are terminated in manifold compositions and various divisions. For since that which subsists in its inherent reasons remains perpetually the same, is firm and durable, and cannot be confuted, it evidently declares it is superior to the forms existing in matter. But that power of progression which apprehends, and which besides uses the dimensions of subjects, and...

## Chapters

- [BOOK II.](https://www.cyberlibrary.org/en/books/the-philosophical-and-mathematical-commentaries-of-proclus-on-t-46f90a95/chapters/2/index.md)
- [BOOK I.](https://www.cyberlibrary.org/en/books/the-philosophical-and-mathematical-commentaries-of-proclus-on-t-46f90a95/chapters/1/index.md)