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Plane and solid geometry (1908)

Gore, James Howard, 1856-1939 · New York, Longmans, Green, and co. · leaf 157

An illustration from Plane and solid geometry, 1908, leaf 157
. This is thephysical law, thus furnishing one illustration of the economy in nature. EXERCISES 1. Given the base and the verti-cal angle of a triangle; to constructit so that its area may be a maxi-mum. SUGGESTIOX. See 195, Ex. 1. 2. Show that the greatest rec-tangle which can be inscribed in… … SOLID GEOMETRY. BOOK VI. PLANES AND SOLID ANGLES.DEFINITIONS. 320. A plane is (by 9) a surface such that a straight linewhich joins any two of its points will lie wholly in the surface. 321. A plane is of unlimited extent in its length and breadth;but to represent a plane in a diagram it is…

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