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Plane and solid analytic geometry; an elementary textbook (1901)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 237

An illustration from Plane and solid analytic geometry; an elementary textbook, 1901, leaf 237
= -■ But the general equation may be written in the formx y z 1 ABCFrom this we have, by substitution, - + ? + - = l [16] a b c L J as the equation of a plane in terms of its intercepts. 18. Distance of a point from a plane. — Let it be re-quired to find the distance of the point Px from the… … 218 ANALYTIC GEOMETRY OF SPACE [Ch. Ill, § 18 where p1 ^ can be either positive or negative, since it is the distance from theorigin to the plane RS,measured along the nor-mal to UK. The coordi-nates of Px must satisfythe equation of US.Hence x1 cos a -f yl cos ft + zx cos 7 = pv Y Now, wherever P1…

Geometry, Analytic

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