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... the major measurements of the work: surface and volume of a sphere. Chapter 6 Propositions 35–44, extending the same measurements to sectors of spheres. The defining features of the book as a whole ... worthy of mention suggested themselves to us, and we took the trouble of preparing their proofs. They are these: first, that the surface of every sphere is four times the greatest circle of the ... surface of every segment of a sphere is equal to a circle whose radius is equal to the line drawn from the vertex of the segment to the circumference of the circle which is the base of the segment. 5 Next...
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