Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 255
— \7 ^ x Fig. 132.Ex. 2. Trace the locus 4 a:2 + 4 x?/ + ?/2 - 18 X + 26 ?/ + 64 = 0.Here S = 0, A 7^ 0, .-. a parabola. 2 H _ 4 _ 2 tan ^\ - B - 3 ■ 1 - tan2^*.-. tan ^ = - 2. Hence, if the axes are turned through tan-i (—2), the new equationwill be. tan 2 ^ = \ 5/ 4\/5\ 10/ Hence, vertex is point… … Fig. 133. Ex. 3. Trace the conic 4 a;2 - 24 xy + U if + 40 .r + 30 ?/ - 105 = 0.2 = AB - H2 =. 44 - (- 12)2 _ _ iqo, A 7^ 0, r Y 0 y \tan-^\ . yf ■^ 0 / Fig. 134. GENERAL EQUATION OF THE SECOND DEGREE 239 3 4 i 2 H - 24 24 .-. an hyperbola. .-. tan^ tan 26 = -B - 7 7 The center is (4, 3), and the…
Geometry, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
