Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 76
^ of the point P^from the line. Thus, to find the distance of any point P^ (x^, y^) from a linewhose equation is given in the normal form X cos ^ -\- y sin 13 — p= 0,it suffices to substitute in the left-hand member of this equa-tion for X, y the coordinates x^, y^ of the point P^. The expression… … 64 PLANE ANALYTIC GEOMETRY [IV, § 56 Pi lies on the opposite side of the line. Any line thus divides theplane into two regions which we may call the positive and nega-tive regions ; that in which the origin lies is the negative region.To find the distance of a point P^ {x^, y{) from a line given in…
Geometry, Analytic
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