Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 67
r to each other. 33. Line making a given angle with a given line. — In plane geometry it is usual to speak of two lines through any given point and making a given angle with a given line. But if Ave con-sider the direction ofthe angle, there can beonly one such line. Forif MN is the given line,Pj… … Ch. IV, § 34] THE STRAIGHT LINE 49 Let MS be this line. Let the inclination of MN be yvand of MS be y2. Then from [11, a J, Solving for ?2, Ave have j _ lr + tan (j> . 2 1-^tanc/)The equation of MS will therefore be If MS is parallel to 3/iV, tan (f> = 0, and the equationbecomes If MS is…
Geometry, Analytic
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