Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 65
erpendicular 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 we con-sider the direction ofthe angle, there can beonly one such line. Forif MN is the given… … Ch. IV, § 34] THE STRAIGHT LINE 49 Let RS be this line. Let the inclination of MN be 7^,and of ES be 7. Then from [11, a], tan 6 = LzIl, Solving for Z, we have 7 _ Zj + tan (f>1 — ^21*^^^ ^The equation of RS will therefore be If RS is parallel to MN^ tan ^ = 0, and the equationbecomes y-yi =…
Geometry, Analytic
Internet Archive · Boston Library Consortium · Public Domain Mark 1.0. Free to use for anything.
