Let be a conic. Prove that if ( 2a b d ) ( b 2c e ) = M , det(M) is nonzero ( d e 2f ) ,then this conic has no singular point. thanks!!
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Originally Posted by chipai Let be a conic. Prove that if and then this conic has no singular point. you can look at the conic as a projective curve if you put then you'll get now singular points are non-zero solutions of which gives us: which can be written as: where but and hence thus the curve has no singular point.
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