h

Consider the representation of the conics through symmetric matrices, so that conics (a), (b) are represented respectively through equations of the form x

x

A crucial role in the discussion plays the determinant d(s,t) = |A

|sA

In the generic case, in which A

A

Since (y

The above figure shows a typical family consisting of all conics passing through four points {A,B,C,D} in general position. The family is generated by any two members (degenerate or not) and contains three degenerate conics represented by the pairs of opposite sides of the complete quadrilateral ABCD.

w

The triangle w

Another use of w

Quadratic_Transformation2.html

Berger Marcel, Pansu Pierre, Berry Jean-Pic, Saint-Raymond Xavier

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