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Plane and solid analytic geometry (1921)

Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 572

An illustration from Plane and solid analytic geometry, 1921, leaf 572
inate planes, y = ^ andX = 0, are the parabolas aj2 = 2 a% 2/ = 2 b% both of which open upwards. The (x, ?/)-plane intersects the surface only in the origin. A plane parallel to the {x, 2/)-plane and below it does not meet the surface, while a plane parallel to the (x, 2/)-plane and above it… … Fig. 6 554 ANALYTIC GEOMETRY It is never a surface of revolution, no matter what values areassigned to a and b. The sections of the surface by the vertical coordinate planesare the parabolas x = 2u% » y^ = -2b% of which the first opens upwards and the second, downwards. The section by the (x,…

Geometry, Analytic -- Plane · Geometry, Analytic -- Solid

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