An elementary treatise on coordinate geometry of three dimensions (1912)
Bell, Robert J. T. (Robert John Tainsh), 1877-1963 · London : Macmillan and co., limited · leaf 123
en (0, 0, — c) and (0, 0, + c). The surfaceis the ellipsoid, and is represented in fig. 29. The sectionby any plane parallel to a coordinate plane is an ellipse. Similarly, we might shew that the surface representedby equation (2) is generated by a variable ellipse whose centre moves on ZOZ,… … The surface given by equation (3) is also generated by avariable ellipse whose centre moves on ZOZ. The ellipse is given by x2 y2 _k2 1, z = k, §§64,66] DIAMETERS AND DIAMETRAL ri..\ 101 and is imaginary it — c<^k<^c; hence no pari <>i the .surface lies between the planes z=±c. The…
Geometry, Analytic
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