Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, b. 1879 · New York : H. Holt and Company · leaf 121
ugh P, the first is an ellipsoid, the second an hy-berboloid of one sheet, and the third an hyperboloid of two sheets. Theorem II. TJie three quadrics of a confocal system whichpass through P intersect each other at right angles. For, the equations of the tangent planes to the first two quad-rics… … That this condition is satis-fied is seen by substituting the Jj-*]coordinates of P in (26), sub*!*tracting the second equation?from thefirst, and removing the*^factor A2—Al, which was seento be different from zero. Theproof for the other pairs maybe obtained in the same way. The three roots k^,…
Geometry, Analytic
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