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Plane and solid analytic geometry; an elementary textbook (1905)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 156

An illustration from Plane and solid analytic geometry; an elementary textbook, 1905, leaf 156
m anexterior point to any conic subtend ecpial angles at the focus, 14. In the parabola the perpendicular from the focus onany tangent meets it on the tangent at the vertex; the per-pendicular meets the directrix on the line through the pointparallel to the axis of the parabola. The equation of… … Fig. 75. They therefore meet on the y-axis, which is the tan-gent at the vertex. Let the student prove the second part of the theorem. 140 ANALYTIC GEOMETRY [Cii. X, § 78 15. Show that theorem 14 does not hold for centralconies, but that the perpendiculars from the foci of a cen-tral conic on any…

Geometry, Analytic

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