An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions (1869)
Johnson, William Woolsey, 1841-1927 · Philadelphia : J.B. Lippincott · leaf 207
ons: If tangents and secants be drawnthrough any point, the intersections ofpairs of tangents, drawn at the pointswhere each secant cuts the curve, willlie in a straight line with the firstpoints of tangency. Thus, the polar of Px is the locus ofall points which can be constructed in the same… … HYPERBOLA REFERRED TO ITS ASYMPTOTES. 203 Therefore, the locus of the intersection of tangents at the extremitiesof a chord drawn through a given point is a straight line, and thisstraight line is the polar of the given point. If the chord or secant drawn through Px is a diameter, the tan-gents are…
Geometry, Analytic
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