 | George Salmon - Geometry, Analytic - 1874 - 616 pages
...the common intersection of three quadric surfaces ; this is the octadic eight-nodal quartic surface. Among the surfaces of the form in question are included the reciprocals of several interesting surfaces, viz., order six, parabolic ring; order eight, elliptic ring; order ten, parallel surface of paraboloid,... | |
 | London Mathematical Society - Electronic journals - 1871 - 342 pages
...in question. And, in the same paper, it is noticed that the surfaces of the form in question include the reciprocals of several interesting surfaces of the orders 6, 8, 9, 10, and 12 ; viz., order 6, parabolic ring : order 8, elliptic ring : order 9, centrosurface of paraboloid : order 10, parallel... | |
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I)2 = 0 ; and by reason of this property it is very easy to find the equations of the reciprocal surfaces, or plane-equations of the quartic surfaces in question. And, in the same paper, it is noticed that the surfaces of the form in question include... 