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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 380

An illustration from New plane and solid geometry, 1899, leaf 380
e. Find the ratio of the curved surfaces of thecone and hemisphere ; of the entire surfaces. 747. Show that the area of a zone of one base (the other base is zero)equals that of a circle whose radius is the chord of the generating arc. Prop. XXVIII.] THE MENSURATION OF THE SPHERE. 3G3 Proposition… … 1. Let the above figure represent a segment cut fromthe figure of prop. XXVII. 2. Then if the distances of the circles of radii i\ andr2, from the center 0, are xx and x2, respectively,the radii of the bases of the frustum of the coneare xx and x2. ^Vhy ? 3. v = cylinder — frustum, Prop. XXVII,…

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