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 127
% as we did for A-y^ -f- B-x- ? Why not? TANGENTS- KECTILINEAR CO-ORDINATES. 97 Ex. 2. Produce the equation of a tangent to dy^ -{-x^ = 5, at a; = 1,and construct, first, the tangent from its equation, and, second, thecurve from its equation. Solution. -In this locus -^ =ax <— —. This is the… … Fig. 99. Substituting these values in the general equation of a tangent {136), we havey =F 1.155 = zp .2d[x — 1), or y = =p .2d.x ± l.M. There are, therefore, twotangents to this locus at a; = 1 ; one whose equation is ?/ = — .2dx -f- 1.44, andanother whose equation is y = .29x— 1.44. RS, in the…
Geometry, Analytic · Calculus
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