Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 241
-\- nx my -\- ny mz + nzin -\-11 m -{- n m -\- n divides the line joining them into two parts which bear toeach other the ratio m : n. 226. SOLID ANALYTIC GEOMETRY. CHAPTER 11. THE PLANE. 172. To deduce the equation of the plane. Let us assume as the basis of the operation the followingproperty :… … Let ABC be any plane. Draw OR -L to ABC, and meetingit in R. Produce OR until RR = OR = p. Every point inthe plane is equally distant from 0 and R. Let P (cc, y,^,)be any point of the plane; let OjST, MN, MR, the co-ordinates THE PLANE. 227 of R = d, e, f, respectively. Then from Art. 168, (2), we…
Geometry, Analytic
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