id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
35550	Heath, Thomas Little, Sir	Archimedes			.txt	text/plain	17952	898	70	Archimedes says that the theorem of Euclid XII., 2, was proved by means Archimedes then proceeds to find the volumes of two solid figures, which Archimedes proves that the volume of the solid so cut off is one sixth its angles rounded off; and Archimedes proves that the volume of this Having proved these facts by the mechanical method, Archimedes concluded the treatise proving that any segment of a "section of a right-angled propositions declare the surface and volume of the sphere to be equal Book II begins with the problem of finding a sphere equal in volume to a surface, equal to that of another given segment of a sphere. 1 Archimedes inscribes and circumscribes to a circle a series cone, Archimedes calls the conical figure with an elliptic base a figures respectively and using the method of exhaustion, Archimedes method of exhaustion Archimedes finds the areas required.	./cache/35550.txt	./txt/35550.txt