# archimedes Quotes

Eureka, Eureka! (I found it, I found it!).

— Archimedes

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

— Archimedes

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.

— Archimedes

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

— Archimedes

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

— Archimedes

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.

— Archimedes

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 ever be named which will be greater than the number of grains of sand. But I shall try to prove to you that among the numbers which I have named there are those which exceed the number of grains in a heap of sand the size not only of the earth, but even of the universe

— Archimedes

Eureka! [I have found it!] On discovery of a method to test the purity of gold.

— Archimedes

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

— Archimedes

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 displaced.On floating bodies I, prop 5.

— Archimedes

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

— Archimedes

Eureka! (I have found it!)

— Archimedes

Equal weights at equal distances are in equilibrium and equal weights at unequal distances are not in equilibrium but incline towards the weight which is at the greater distance.

— Archimedes

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 to the middle points of the oppositesides respectively.

— Archimedes

Eureka! Eureka!Supposed to have been his cry, jumping naked from his bath and running in the streets, excited by a discovery about water displacement to solve a problem about the purity of a gold crown.

— Archimedes

Rise above oneself and grasp the world.

— Archimedes

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

— Archimedes

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

— Archimedes

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

— Archimedes

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

— Archimedes

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

— Archimedes

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

— Archimedes