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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.

Give me a lever long enough and a fulcrum on which to place it and I'll move the world

Give me a place to stand and rest my lever on, and I can move the Earth.

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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.

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

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

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Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.

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