Archimedes Quotes

Give me a firm place to stond, and I will 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 which is at the greater distance.

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

Give me a place to stand, a lever long enough and a fulcrum. and I can move the Earth

Give me a place to stand and I will move the earth.

Give me a place to stand on and I will move the earth.

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

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

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

The centre of gravity of any hemisphere [is on the straight line which] is its axis, and divides the said straight line in such a way that the portion of it adjacent to the surface of the hemisphere has to the remaining portion the ratio which 5 has to 3.

The centre of gravity of any cone is [the point which divides its axis so that] the portion [adjacent to the vertex is] triple [of the portion adjacent to the base].

The centre of gravity of a parallelogram is the point of intersection of its diagonals.

Give me a place outside the earth on which to rest my lever, and I will move the world. By Archimedes

δῶς μοι πᾶ στῶ καὶ τὰν γᾶν κινάσω. [Dôs moi pâ stô, kaì tàn gân kinásō.]

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.