Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 229
the cone VP, meetingthe small circle in E. From P drop the perpendicular PK uponthe plane LES, and draw PR perpendicular to DD^. The anglePRK= a is the angle between the cutting plane and the planeLES and is therefore constant for all positions of P. The anglePEK = (3 is also constant for all… … Fig. 128 and the curve APB is therefore a conic having one focus at F,the corresponding directrix being Z)Z), (Art. 94, property A). The conic will be- an ellipse when a < y8, a parabola whena = 13; i.e. when the cutting plane is parallel to one of thegenerators of the cone, and an hyperbola…
Geometry, Analytic
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