A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 218
D Fig. 303. A^^ B-iA- whence combining the two, we have aa=: — -—. q. e. d. 303, CoK. 1.—By a similar courseof reasoning, or by simply changingthe sign of B^*, we have for the hyper- B^ I? bola aa 306, CoK. 2.—In the ellipse, if supplementary chords are drawn to the extremities of the conjugate… … Fig. 204. -j— {the same as before) if the angles are measured from the axis of x, A^ hut aa = — A^ — if they are measured from the axis of y. SPECIAL PROPERTIES OF THE COXIC SECTIONS. 189 Dem.—The equations of PE and PD, Fig. 203, are respectively y — B = axand y -j-- B = aX ; whence t/^ — B^ =…
Geometry, Analytic · Calculus
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