Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 40
of the following : 9. a;2 - 2/2 = 0. 14. a;2 — a; — 6 = 0. 10. x + 2 ax-\-a^ = 0. 15. x^ + cc — 6 = 0. 11. ic2 - ^2 ^ 0. 16. a:--^ + 4 a; - 5 = 0. 12. 2/2 _ 9 _ 0. 17. x -1x^12 = 0. 13. y — 2x7j -[- x^ = 0. 18. a;2 + 7 £c + 10 = 0. Note. — Factor the first member: equate each factor to 0,and… … Fig. 11. Let C S be the line whose equation we wish to determine.Let SAX = a and OB = b. Take any point P on the lineand draw PM || to OY and BN || to OX. Then (OM, MP) = (x, ?/) are the co-ordinates of P. From the figure PM = PN + OB = BNtan PBN + b, butBN = OM = X, and tan PBN = tan SAX = tan a.…
Geometry, Analytic
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