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

Many people believe that the grains of sand are infinite in multitude ... Others think that although their number is not without limit, no number can….

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 u….

The perimeter of the earth is about 3,000,000 stadia and not greater..

Man has always learned from the past. After all, you can't learn history in reverse!.

Having been the discoverer of many splendid things, he is said to have asked his friends and relations that, after his death, they should place on hi….

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

How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!.

Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty..

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

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

Equal weights at equal distances are in equilibrium and equal weights at unequal distances are not in equilibrium but incline towards the weight whic….

The diameter of the earth is greater than the diameter of the moon and the diameter of the sun is greater than the diameter of the earth..

Spoken of the young Archimedes: . . . [he] was as much enchanted by the rudiments of algebra as he would have been if I had given him an engine worke….

It follows at once from the last proposition that the centre of gravity of any triangle is at the intersection of the lines drawn from any two angles….

The centre of gravity of any parallelogram lies on the straight line joining the middle points of opposite sides..

Give me a place to stand, and a lever long enough, and I will move the world..

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

Archimedes to Eratosthenes greeting. ... certain things first became clear to me by a mechanical method, although they had to be demonstrated by geom….

Eureka! Eureka! Supposed to have been his cry, jumping naked from his bath and running in the streets, excited by a discovery about water displaceme….

Any solid lighter than a fluid will, if placed in the fluid, be so far immersed that the weight of the solid will be equal to the weight of the fluid….