Number, in consequence, includes all things that are capable of comparison. It is not then in quantity only that number produces proportion; it produces it in all things that are capable of agreement and differences in any way at all, whether substantially or accidentally.

A given circle cannot be so true that a truer one cannot be found; and the movement of a sphere at one moment is never precisely equal to its movement at another, nor does it ever describe two circles similar and equal, even if from appearances the opposite may seem true.

For all the [body's] members seek nothing except inseparable union with the intellect, as with their beginning, ultimate good, and everlasting life.

There are not many beginnings but there is a single Beginning, prior to multitude. But if you were to say that the beginnings are plural apart from their partaking of the One, that statement would self-destruct. For, surely, these plural beginnings would be both alike, by virtue of their not partaking of the One, and not alike, by virtue of their not partaking of the One.

With the senses man measures perceptible things, with the intellect he measures intelligible things, and he attains unto supra-intelligible things transcendently.

In creating the world, God used arithmetic, geometry, and likewise astronomy.

If that one is already a great artist, who knows how to educe from a small piece of wood the face of a king or of a queen, an ant or a camel, how great then is the mastery which can form as actuality everything which is in all potentiality? Therefore, God, who is able to produce from the most minute piece of matter the similitude of all forms which can be in this world and in infinitely many worlds, is of admirable subtlety.