Proposition Lxviii.
Project Gutenberg EPUB edition
Proclus and Taylor, Thomas
PROPOSITION LXVIII.
Every whole which is in a part, is a part of that whole which consists of parts.
For if it is a part, it is a part of a certain whole. And it is either a part of the whole which it contains, according to which it is said to be a whole in a part. But thus it will be a part of itself, the part will be equal to the whole, and each will be the same. Or it is a part of a certain other whole. And if of some other, it is either the only part of that, and thus again, it will in no respect differ from the whole, being one part of one thing. Or it is a part in conjunction with another part. For of every whole the parts are more than one, and that will be a whole from many parts, of which it consists. And thus the whole which is in a part, is a part of the whole which consists of parts.