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A first course in analytical geometry (1905)

Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 103

An illustration from A first course in analytical geometry, 1905, leaf 103
+ B cos^ a 30. Show that the lines Ax- + 2 H (A + B) x?/ + BV = 0are equally inclined to the lines Ax2 + 2 Rxy + B2/2 = 0. 31. The line Ix + my + n = 0 meets the lines Ax^ + 2 Hxy + By^ = 0at angles a and /3. Prove : tan a + tan /3 = 2 -^^ rrr^^^m ^^?^^—a—- • ^ AP + 2 HZ?n + Bm2 Query. — Why does… … (x - hf -^{y- k)\... (^ - iz)2 + (j^ - kf = r2^ is the required equation of the Fig. 79. circle. 54. Special positions of center. — (1) If the center is at the origin^ h =^ 0, k = 0, X and the above equation becomes :s2 + 72 = 2-2.

Geometry, Analytic

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