Archimedes Quotes

If two equal weights have not the same centre of gravity, the centre of gravity of both taken together is at the middle point of the line joining their centres of gravity.

Give me the place to stand, and I shall move the earth.

Give me a firm spot on which to stand and I will move the earth

In any triangle the centre of gravity lies on the straight line joining any angle to the middle point of the opposite side.

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

Any segment of a right-angled conoid (i.e., a paraboloid of revolution) cut off by a plane at right angles to the axis is 1½ times the cone which has the same base and the same axis as the segment

He who knows how to speak, knows also when.

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

Noli turbare circulos meos. or Noli tangere circulos meos.

Give me a lever long enough and a place to stand and I will move the entire earth.

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

I thought fit to... explain in detail in the same book the peculiarity of a certain method, by which it will be possible... to investigate some of the problems in mathematics by means of mechanics. This procedure is... no less useful even for the proof of the theorems themselves; for certain things first became clear to me by a mechanical method, although they had to be demonstrated by geometry afterwards... 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.

Fellow, stand away from my diagram.

Give me where to stand, and I will move the earth.

First then I will set out the very first theorem which became known to me by means of mechanics, namely that Any segment of a section of a right angled cone (i.e., a parabola) is four-thirds of the triangle which has the same base and equal height,
and after this I will give each of the other theorems investigated by the same method. Then at the end of the book I will give the geometrical [proofs of the propositions]...