Does there exist a surface x(u, v) such that E=G=1,F=0 and L=1,M=−1,N=0?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Does there exist a surface x(u, v) such that E=G=1,F=0 and L=1,M=−1,N=0?

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