Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 197
plane are given. Callthe length of the perpendicularp, the direction angles of the per-pendicular a, (3, y. Let P(.i-, ?/, z)be any point in the plane. Theprojection of the broken line(;f + y + z) on the perpendicularOP equals p for all points in theplane and for no others. Hencexcosa + ycos /8 +… … POINT, LINE, AND PLANE LW SPACE 183 locus reprostMiiod by Ax + B>i + Cz + D = 0 is the same asthe locus represeuted by u;cos a + ij (ios fi + z cos y - 2 = ^ i^ Con cos aA cos^B _ cos y c D ibiniiu ; witli c + cos-13 + cos r-y=\ , cos a A V^i- -\-B+G cos 3 B cos y = C ^ V^- +B + C V^l + B + C P…
Geometry, Analytic
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