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 213
he axis of x are : A-y A^y For the ellipse -^7^, for the hyperbola — :^—,, y Y For the circle —^, for the parabola — —. SUBNOBMALS. 183 SUBNORMALS. 283, Def.—The Subnormal is the projection of the normalupon the axis of x ; or it is the distance from the foot of the ordinatelet fall from the point… … numerical value in the hyperbola. Sugs.—In case of the elhpse, let PE be thenormal at P and ED the subnormal. Now --—- = tan PE D, or -4— = —^,.E D Subnor B^x Subnor = ——.A Ex. 2. Show that in the parabola the subnormal is constant andequals the semi-parameter. Show how this property may be used…
Geometry, Analytic · Calculus
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