culating plane of the geodesic at that pointwill be the plane joining the point to the corresponding tangentof the focal hyperbola. We know also (Art. 184) that thecone circumscribing an ellipsoid, and whose vertex is any pointon the focal hyperbola, is a right cone. Let now FF^ be an element of an… … CURVES TRACED ON SURFACES. 379 PH^K will be two consecutive osculating planes. Imagine now a sphere round H\ and consider the spherical triangle formed by radii to the points A, h\ P\ Then if d4> be the angle JiHli ^ the angle of contact of the focal hyperbola; if Q be the angle between the…
Geometry, Analytic · Surfaces
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