[175] The Platonic reader must doubtless be pleased to find that Euclid was deeply skilled in the philosophy of Plato, as Proclus every where evinces. Indeed, the great accuracy, and elegant distribution of these Elements, sufficiently prove the truth of this assertion. And it is no inconsiderable testimony in favour of the Platonic philosophy, that its assistance enabled Euclid to produce such an admirable work.
[176] Concerning these crowns, or annular spaces, consult the great work of that very subtle and elegant mathematician Tacquet, entitled Cylindrica et Annularia.
[177] In the preceding tenth commentary.
[178] This in consequence of every triangle possessing angles alone equal to two right.
[179] This too, follows from the same cause as above.
[180] Thus the following figure A B D C has four sides, and but three angles.
[181] The Greek in this place is very erroneous, which I have restored from the version of Barocius.
[182] For the Greek word ῥόμβος is derived from the verb ῥέμβω, which signifies to have a circumvolute motion.
[183] See the Orphic Hymns of Onomacritus to these deities; my translation of which I must recommend to the English reader, because there is no other.