Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, 1879-, Hill, Theodore Preston. Early American mathematics books. CU-BANC · New York, H. Holt and Company · leaf 233
the equation of the Hessian may be written in the form fll fit /13 /14 f\2 fz2 J23 /24 .723 /33 TT = 0. (12) It is of order 4(w —2). 214 CURVES AND SURFACES [CHAP. XIII. It will now be shown that the Hessian may also be denned asthe locus of double points on first polar surfaces of the… … The condition that these equations in ylt y2, y3, y± are consistentis that their determinant is equal to zero, that is, that (x) lies onthe Hessian. - 171. The parabolic curve. The curve of intersection of thegiven surface with its Hessian is called the parabolic curve on thesurface. THEOREM. At…
Geometry, Analytic
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