Geodesic
On the Discriminant x'Ax.y'Ay-(x'Ay)2
Canadian mathematical bulletin, Tome 1 (1958) no. 3, pp. 175-179

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Let x, y be column matrices of n real homogeneous coordinates xj, yj (j = 1,..., n) representing points in (n - 1) - dimensional real projective space Pn - 1. Let A be an n × n real symmetric matrix. The equation x' Ax = 0 represents a quadric in Pn - 1 and the equation 
Schwerdtfeger, H. On the Discriminant x'Ax.y'Ay-(x'Ay)2. Canadian mathematical bulletin, Tome 1 (1958) no. 3, pp. 175-179. doi: 10.4153/CMB-1958-018-0
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     title = {On the {Discriminant} {x'Ax.y'Ay-(x'Ay)2}},
     journal = {Canadian mathematical bulletin},
     pages = {175--179},
     year = {1958},
     volume = {1},
     number = {3},
     doi = {10.4153/CMB-1958-018-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1958-018-0/}
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