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 223
-—. Multiplymg the members of these cos a cos a A^ equations and rejecting common factors we have sin2 ^ J52 sm a—-, or A^ cos a B A the — sign characterizing the ellipse since a is obtuse in the ellipse, and the -f-sign characterizing the hyperbola, as in it a and a are acute. Hence B cos a sm a… … AK = B sin a cos KAC —cos aHence and AH sin H A B Fiq. 210. (b) In the ellipse the conjugate diameters which fall upon the diagonals of the rect-i angle on the axes are equal, and a and a are supplementary. A B 3. In the hyperbola in general, the condition ; = -:— is met only when the cos a: sma…
Geometry, Analytic · Calculus
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