How many theorems in geometry which have seemed at first impracticable are in time successfully worked out! Archimedes More Quotes by Archimedes More Quotes From Archimedes Archimedes to Eratosthenes greeting. ... certain things first became clear to me by a mechanical method, although they had to be demonstrated by geometry afterwards because their investigation by the said method did not furnish an actual demonstration. But it is of course easier, when we have previously acquired by the method, some knowledge of the questions, to supply the proof than it is to find it without any previous knowledge. Archimedes investigation easier firsts Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes. Archimedes distance balance two 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. Archimedes spheres writing science Eureka, Eureka! (I found it, I found it!). Archimedes found Give me where to stand, and I will move the earth. Archimedes Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Either of my contemporaries or of my successors, will, by means of the method when once established, be able to discover other theorems in addition, which have not yet occurred to me. Archimedes Give me a lever and I will move the earth Archimedes Give me somewhere to stand, and I will move the earth. Archimedes I have found it! or I have got it!, commonly quoted as Eureka! Archimedes The shortest distance between two points is a straight line. Archimedes line straight distance two