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It was while lying in his bath, but still meditating on the means to detect the fraud of the goldsmith who had made Hiero's crown, that the most extraordinary philosopher of antiquity was led to the investigation of a series of propositions demonstrated in the two books of ARCHIMEDES, De insidentibus in fluido, still extant; and which a great mathematician admires both for the strictness and elegance of the demonstrations.
This work gained for its author the esteem of Guido Ubaldi, who had distinguished himself by his mechanical and mathematical acquirements, and who engaged his young friend to investigate the subject of the centre of gravity in solid bodies. The treatise on this subject, which Galileo presented to his patron, proved the source of his future success in life. De Insidentibus in Fluido.
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