Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 59
uation of a line which passes through the intersec-tion of the given lines. But by hypotheses the point (2, 3) ison this line ; hence 3 — 4 — l+K(6 + 2 — 2)=0 .•.K = l.3 Substituting this value for K we have, y-2x-l+^(2y + x-2), = 0or, y — X — 1 = 0 for the required equation. Let the student verify… … Fig. 16. Let y =^ sx-\-b, andy z= sx-\- Vbe the equations of SC and MIST, respectively; thens = tan a and s = tan «. THE STRAIGHT LINE. 45 From the figures a = cp -[- a.*. (p = a — «. From trigonometry, , i. / / \ tan a — tan a tan fp = tan (a — w) = . 1 -|- tan « tan « ,-. substituting *° = frt ■…
Geometry, Analytic
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