Two Geometrical Memoirs on the General Properties of Cones of the Second Degree, and on the Spherical ConicsFor Grant and Bolton, 1841 - 112 páginas |
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angle of invariable anharmonic relation arc joining arc touching arcs be drawn arcs of reference asymptotes axis centre circular sections cuts the cone cyclic arc cyclic plane diameter director arc director plane distance ellipse envelope a conic envelope a second equal angles equation fixed arcs fixed planes fixed point fixed right line foci focus following theorems given conic given point given right line harmonic conjugate Hence hyperbola hyperboloid intercepted invariable magnitude joining the points line of intersection osculating circle plane conic sections plane passing plane touching planes be drawn point of concourse point of intersection points of contact pole properties quadrilateral radius right angles round a fixed second cone second degree segment sides meet sides of contact sines sphere spherical angle spherical conic spherical coordinates spherical triangle subcontrary supplementary cone tangent arcs tangent planes touching the cone transversal plane trihedral angle vector planes vertex vertices x'dy x¹² y²²