Geometry is a skill of the eyes and the hands as well as of the mind.
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Geometry is a skill of the eyes and the hands as well as of the mind.
He who can properly define and divide is to be considered a god.
The ludicrous state of solid geometry made me pass over this branch. Republic, VII, 528.
He is unworthy of the name of man who is ignorant of the fact that the diagonal of a square is incommensurable with its side.
Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state.
The knowledge of which geometry aims is the knowledge of the eternal.
I have hardly ever known a mathematician who was capable of reasoning.
There still remain three studies suitable for free man. Arithmetic is one of them.
[about Archimedes:]
... being perpetually charmed by his familiar siren, that is, by his geometry, he neglected to eat and drink and took no care of his person; that he was often carried by force to the baths, and when there he would trace geometrical figures in the ashes of the fire, and with his finger draws lines upon his body when it was anointed with oil, being in a state of great ecstasy and divinely possessed by his science.
To speak algebraically, Mr. M. is execrable, but Mr. C. is (x + 1)-ecrable.
[Discussing fellow writers Cornelius Mathews and William Ellery Channing.]