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 162
e formy = (p[x) =t ipix). Solving the equation for y we have 1st. K we construct the straight line of which y = — -—(B.X -[- D) is the equation (let it be rep- resented by M N in the figure), any value of x(as AD) which locates a point (as P) in this line,locates, in general, two points (P, P) in… … Fig. 138. is a diameter of the locus. 2nd. For such value or values of x as render theradical 0, y has but one value, and at this point, or these points, the locus cuts itsdiameter. Hence {B^ — 4.AG)x-^ + 2(£i) — 1AE)x + (X>^ — 4.AF) = 0 deter- -(JBx + X»). In general, this 2^^ mines where the…
Geometry, Analytic · Calculus
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