Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 106
willbisect all lines parallel to tT and within the curve; hence gd isbisected in S. But as CP bisects tT, it bisects all lines parallel to tT withinthe asymptotes, and i>6^ is also bisected in S ; hence dD= Gg. In the same manner we might prove dh=lcVy because hk isparallel to some tangent which… … 9:8 ANALYTICAL GEOMETRY. This property enables us to describe the hyperbola by points,when the asymptotes and one point in the curve are given. Through the given point d, draw any line, as DG, and fromG set off Dg=dD, and then g will be a point in the curve.Draw any other line, as hJc, and set off…
Geometry, Analytic · Calculus
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