34 Quotes by 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.

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

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

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.

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

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

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 his tomb a cylinder enclosing a sphere, writing on it the proportion of the containing solid to that which is contained.

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

Eureka! (I have found it!)