Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 203
referred to Diameter and Tangent. The equation of the parabola y~ = iax preserves this simple form if instead ofaxis and tangent at the vertex we take asaxes any diameter and the tangent at its end.The equation in these oblique coordinates is ^r 4 aixi, where ai = a/sin- a, a being the angle… … Fig. 73 a being the angle at which the tangent at Oi is inclined to the axis.Hence, transferring to parallel axes through Oi, we obtain the equation which reduces to (y + 2 a ctn «)- = 4 a (.« + « ctn- «), ?/2 -|- 4 a ctn a • y = 4: ax. The relation between the rectangular coordinates a*, y and the…
Geometry, Analytic
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