The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners (1903)
Briggs, George R. (George Russell), b. 1853, Bôcher, Maxime, 1867-1918 · New York, J. Wiley & sons; [etc., etc.] · leaf 147
f 45°. (9.) Find the equations of tangents and normals to an hyper-bola at the extremities of the parameters.Ans. For the upper extremity of the right-hand latus rectum, ex — y = a, ax + aey — e{d^-{- b^). (10.) Find the condition which must be fulfilled that the line X y —-f — = Im n may touch the… … which givesand y^ = 2 m X . . . (i)we have for the equationsfrom which to find the valueof A., y{ = 2mx^. . . (2)and (7,+^)-^-2^K+^). (3) PVom these we easily find 2Jr -\- k X.-^^-J. m The required equations are, therefore, m orand or y-y^=-^(x -x^\ y^x + my = {m -\- x,) y\, . (4) .(5). (6) . (7) ,…
Geometry, Analytic -- Plane
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