There are things which seem incredible to most men who have not studied Mathematics.

Eureka! (I have found it!).

Give me but a firm spot on which to stand, and I shall move the earth.

I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not yet occurred to me, by other mathematicians, now living or yet unborn.

Those who claim to discover everything but produce no proofs of the same may be confuted as having actually pretended to discover the impossible.

Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.

The centre of gravity of any cylinder is the point of bisection of the axis.