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

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“The centre of gravity of any hemisphere 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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“Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.”

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

“Archimedes' Book of Lemmas”

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