Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 337
rections are each the negative of the other, it is sufficient to take eithersolution and ignore the other. 157. Distance of a point from a plane. Let it be requiredto find the perpendicular distance from the point -^(a^, yx, aQto the plane Ax+By + Cz+P> = 0. (1) From P. (fig. 202) draw… … _Ax1+By1 + Cz1+I)_CBut P1N=RP1 cos 7 where <y is the angle R^N which is equalto the angle made by the normal to the plane with the line OZ.Then, by § 150, c cos 7 Hence PXN = ± VA* + B1 + CzAi\+By, + Cz,+D ^A+B^ + C* is the magnitude of the required distance, being positive for allpoints on one…
Geometry, Analytic · Calculus
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