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Why is it that small forces can move great weights by means of a lever, as was said at the beginning of the treatise, seeing that one naturally adds the weight of the lever? For surely the smaller weight is easier to move, and it is smaller without the lever. Princeton University Press, Princeton, N.J., U.S.A., 1987 A discussion of these points can be found in pages 291-304 of the following book:īy E.J. While it is commonly stated that Archimedes proves this law in these two propositions, there has been considerable debate as to what Archimedes really proved, what his stated postulates mean, what hidden assumptions he used, and what he may have thought he proved. This is the statement of the Law of the Lever that Archimedes gives in Propositions 6 and 7 of Book I of his work entitled On the Equilibrium of Planes.
Magnitudes are in equilibrium at distances reciprocally proportional to their weights.
The Law of the Lever According to Archimedes.
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