Conic

Conic sections are the sets of points whose coordinates satisfy a second-degree polynomial equation $Q (x, y) = A x^{2} + B x y + C y^{2} + D x + E y + F = 0$ . This quadratic equation can be written as $x^{T} A x = 0$ , where, $x = (\begin{matrix} x \\ y \\ 1 \end{matrix})$ and $A = (\begin{matrix} A & B / 2 & D / 2 \\ B / 2 & C & E / 2 \\ D / 2 & E / 2 & F \end{matrix})$

Syntax

conic(Matrix)

conic(Polynomial)

conic(Point, Point, Point, Point, Point)

Description

Given the conic matrix as specified above, returns the equation of the conic.

Given the polynomial describing the conic, construct the conic defined by such equation.

Given five points, constructs the conic that goes through all of them.

Conic

Syntax

Description

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