Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 47
sec + ^ in a symmetrical form. Given the following equations of straight lines, to writetheir slope and symmetrical forms : 11. 2 2/ + 3 a; - 7 = a; + 2. 13. ^^^ = 3. X 12 y~^ — ^ — ^ 14 ^ — y = 2x — 1 2 3 • 4 3 * 32 PLANE ANALYTIC GEOMETRY. 21. To find the equation of a straight line in terms of… … Fig, 13. Let CS be the line. Let OP = p, BOP = 7, AOP = «. From the triangles AOP and BOP, we have OA = OP , OB =-0£- that is, cos « cos y cos a COS 7 Substituting these values in the symmetrical equation, Art. 20. (1), ? -)- ?^ = 1, we have, after reducing,ah X cos cc -\- 1/ COS Y =: p . . . (1)…
Geometry, Analytic
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