Normals from a Point to a Quadric in N Dimensions
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DOI:
https://doi.org/10.18311/jims/1924/17656Abstract
Using Cartesian co-ordinates, the equation to a quadric in N dimensions may, in general, be reduced to a1 X12 + a2x22 + + anxn2 = 1. ..... (1)
Let P be any point (α1, α2, ... αn); consider the locus of points Q whose polar planes with respect to (l) are perpendicular to PQ.