Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 84
if lines (1) and (2) are perpendicular to each other, 1 mi=: m .•.our required equation is y-yi = -^(x-xi). [18] Ex. Find the equation of a line through the point (— 1, — 3), andperpendicular to the line x + 2y — 1 = 0. X + 2y — 1 = 0 is equivalent to y = — - x + -•. •. y + 3 = (x + 1) or y — 2x +… … Fig. 37. Let AB be the given line, and let lines (1) and (2) be thelines making the required angle, tan~^ (■^), with AB. Then, if we denote tan~^ (^) by /3, and the angles made bylines (1) and (2) with XX by 6i and 6^ respectively, we havefrom triangle ADF, 6i = $-\- ^, the exterior angle of a…
Geometry, Analytic
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