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Plane and solid analytic geometry; an elementary textbook (1904)

Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 247

An illustration from Plane and solid analytic geometry; an elementary textbook, 1904, leaf 247
t the general equation may be written in the form x y z _, + 7T=L A J5 (7 From this we have, by substitution, °° + V + s = 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… … Fig. 12. 230 ANALYTIC GEOMETRY OF SPACE [Ch. Ill, § 18 where px can be either positive or negative, since it is the distance from theorigin to the plane BS,measured along the nor-mal to UK. The coordi-nates of Px must satisfythe equation of BS.Hence xx cos a -f yx cos ft + zx cos 7 = pv Now,…

Geometry, Analytic

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