Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 24
tions (2) become px=yx+Xzx,^2=%+Xz2. Hence, ifyx: y2 and zx: z2 are the coordinates of any two points ona straight line, the coordinate of any other point may be written EXERCISES 1. Eind the formulas for the change from the coordinate in Ex. 1, § 8,to that in Ex. 2. 2. Eind the formulas for a… … RANGES AND PENCILS 11 10. Coordinate of a line of a pencil. Consider all straight lineswhich lie in a plane and pass through the same point (Fig. 3).Such lines form a pencil, the common point being called the vertexof the pencil. Let OM be a fixed line in the pencil, OP any line, and 6 the…
Geometry, Analytic
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