Quotes About Geometer

Hippocrates is an excellent geometer but a complete fool in everyday affairs.

The Geometer has the special privilege to carry out, by abstraction, all constructions by means of the intellect. Who, then, would wish to prevent me from freely considering figures hanging on a balance imagined to be at an infinite distance beyond the confines of the world?

For the carpenter's and the geometer's inquiries about the right angle are different also; the carpenter restricts himself to what helps his work, but the geometer inquires into what, or what sort of things, the right angle is, since he studies the truth. We must do the same, then in other areas too, [seeking the proper degree of exactness], so that digressions do not overwhelm our main task.

The geometer offers to the physicist a whole set of maps from which to choose. One map, perhaps, will fit the facts better than others, and then the geometry which provides that particular map will be the geometry most important for applied mathematics.