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Plane and solid analytic geometry (1920)

Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 61

An illustration from Plane and solid analytic geometry, 1920, leaf 61
proof theregiven is simple, providedone remembers the con-struction lines it is desir-able to draw. By means,however, of Analytic Ge-ometry we can establishthe proposition, not byartifices, but by the naturaland direct application ofthe general principle enun-ciated in the precedingparagraph. The… … -B:(-l,3) £:tt,0) APPLICATIONS 55 to take one of the axes along a side of the triangle. Let thisbe the axis of x. A good choice for the axis of y will be one in which thisaxis passes through a vertex. Let this be the vertex not onthe axis of x. We begin with a numerical case, choosing the vertices…

Geometry, Analytic

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