Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, 1879-, Hill, Theodore Preston. Early American mathematics books. CU-BANC · New York, H. Holt and Company · leaf 125
106 PROPERTIES OF QUADRIC SURFACES [CHAP. VIII. which pass through P, the first is an ellipsoid, the second an hy-berboloid of one sheet, and the third an hyperboloid of two sheets. THEOREM II. The three quadrics of a confocal system whichpass through P intersect each other at right angles. For,… … _ That this condition is satisfied is seen by substituting thecoordinates of P in (26), subtracting the second equationfrom the first, and removing thefactor k^—ku which was seento be different from zero. Theproof for the other pairs maybe obtained in the same way. The three roots Jc1} &2>…
Geometry, Analytic
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