Arthur Cayley

Not that the propositions of geometry are only approximately true, but that they remain absolutely true in regard to that Euclidean space…

— Arthur Cayley

Metrical geometry is thus a part of descriptive geometry, and descriptive geometry is all geometry.

— Arthur Cayley

Euclid avoids it [the treatment of the infinite]; in modern mathematics it is systematically introduced, for only then is generality obtained.

— Arthur Cayley

But be that as it may, I think it is more respectful to you that I should speak to you upon and…

— Arthur Cayley

Projective geometry is all geometry.

— Arthur Cayley

So much the worse, it may be, for a particular meeting: but the meeting is the individual, which on evolution principles, must…

— Arthur Cayley

As for everything else, so for a mathematical theory: beauty can be perceived but not explained.

— Arthur Cayley

And in another point of view, I think it is right that the address of a president should be on his own…

— Arthur Cayley