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Nearly all of these land masses were split up into semi-regular divisions by the famous canals which have so long puzzled terrestrial observers. "Well, there is one problem solved at any rate," said Redgrave, when, after a journey of nearly four hours, they had crossed the western hemisphere. "Mars is getting very old, her seas are diminishing, and her continents are increasing.
Among lost works were the Catoptrica, On Sphere-making, and investigations into polyhedra, including thirteen semi-regular solids, the discovery of which is attributed by Pappus to Archimedes. Speaking generally, the geometrical works are directed to the measurement of curvilinear areas and volumes; and Archimedes employs a method which is a development of Eudoxus's method of exhaustion.
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