Geometry is the archetype of the beauty of the world.

Ships and sails proper for the heavenly air should be fashioned. Then there will also be people, who do not shrink from the dreary vastness of space.

Geometry is one and eternal shining in the mind of God

The roads by which men arrive at their insights into celestial matters seem to me almost as worthy of wonder as those matters in themselves.

Geometry existed before the creation. It is co-eternal with the mind of God...Geometry provided God with a model for the Creation.

Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel.

The heavenly motions... are nothing but a continuous song for several voices, perceived not by the ear but by the intellect, a figured music which sets landmarks in the immeasurable flow of time.