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 220
ined by the fact that the result applies equally well to either angle PBX, or PCX. Hence V is a maximum when 7? 7? tan P BX = 7-, or tan PCX == —, L e., when P is at D. A A To find the value of V when it is a maximum, we have simply to substitute ;; for a in tan V ; whence tan V = A A^ — B^… … 312» JPvop,—^ one of two supplementary chords to the transverseaxis of an ellipse is parallel to a tangent, the other is parallel to the diam-eter drawn through the point of tangency, and conversely. Dem. —Let P B be parallel to M T, then isPC parallel to DD. -Let tan PCX = a,tan PBX = a, tan DAX =…
Geometry, Analytic · Calculus
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