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once seen, you immediately believe you would have dis- covered it ; by so smooth and so rapid a path he leads you to the conclusion required. And thus it ceases to be incredible that (as is commonly told of him), the charm of his familiar and domestic Siren made him forget his food and neglect his person, to that degree that when he was occasionally carried by absolute violence to bathe, or have his body anointed, he used to trace geometrical figures in- the ashes of the fire, and diagrams in the oil on his body, being in a state of entire preoccupation, and, in the truest sense, divine possession with his love and delight in science. His discoveries were numerous and admirable 5 but he is said to have requested his friends and relations that when he was dead, they would place over his tomb a sphere containing a cylinder, inscribing it with the ratio which the containing solid bears to the contained.* Such was Archimedes, who now showed himself, and, so far as lay in him, the city also, invincible. While the siege continued, Marcellus took Megara, one of the ear- liest founded of the Greek cities in Sicily, and capturing also the camp of Hippocrates at AcWae, killed above eight thousand men, having attacked them whilst they were engaged in forming their fortifications. He overran a great part of Sicily ; gained over many towns from the Carthaginians, and overcame all that dared to encounter him. As the siege went on, one Damippus, a Lacedsemo- nian, putting to sea in a ship from Syracuse, was taken. When the Syracusans much desired to redeem this man, and there were many meetings and treaties about the matter betwixt them and Marcellus, he had opportunity

• The solid content of a sphere sphere and cylinder. The tomb,

is exactly two thirds of that of the as thus described, was found, cov- circumscribing cylinder. Among ered with weeds, by Cicero, when the works still extant of Archime- serving as quastor in Sicily, des, there are two books on the VOL. a. 17