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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 336

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tulate requires the generatrix to move constantly parallel to its origi-nal position, a construction manifestly impossible by the use of merelythese two instruments. Exercises. 688. Draw a figure of a convex cylinder; a concave cylinder ; a cross cylinder. 689. Prove that if a transverse section of… … Given a cylindrical space S, cut by two parallel planes,P, P, so as to form two transverse sections, L, L. To prove that L = L. Proof. 1. Let AA, BB\ CC be segments of elements betweenP and P\ 0 any point in P, and 00 II A A, meetingP at 0; join 0 to A, B, C, and 0 to A, B, C. 2. Then 00, A A…

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