Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author · New York, The Macmillan company · leaf 253
r2, thus obtained, represents the cylinder with axis along theaxis Oz and tangent to the sphere a;2 + ^2 + ^2 _ ^, B CHAPTER XIIIQUADRIC SURFACES 268. The Ellipsoid. The surface represented by theequation is called an ellipsoid. Its shape is best investigated by tak-ing cross-sections at right… … Fig. 125the distance h < a from the plane Oyz intersects the ellipsoidin an ellipse whose equation is i.e. y^ , a ^^ <-D <-i) 242 XIII, §259] QUADRIC SURFACES 243 Strictly speaking this is the equation of the cylinder that pro-jects the cross-section on the plane Oyz. But it can also…
Geometry, Analytic
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