Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 570
J Fig. 3 (2) 62 C2 X^ a2 --=!. The sections by the planes z = k are ellipses. The smallestone is the section by 2; = 0, the (x, 2/)-plane; it is known asthe minimaiii ellipse. The general one increases in size as itsdistance from the (.t, 2/)-plane increases. The surface can bethought of as… … A particular case, when a = 6, is the hyperholoid of revolutionof two sheets. In the general case, a ^^ 5, the sections by the vertical coor-dinate planes are the hyperbolas conjugate to the hyperbolas(2). The (ic, 2/)-plane, 2 = 0, does notintersect the surface. This is trueof all the planes 2; =…
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