Conic Command

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Conic[Point A, Point B, Point C, Point D, Point E]
Returns a conic section through the five given points A, B, C, D, and E.
Note: If four of the points lie on one line the conic section is not defined.
Conic[ <Number a>, <Number b>, <Number c>, <Number d>, <Number e>, <Number f> ]
Returns a conic section a\cdot x^2+b\cdot y^2+c+d\cdot x\cdot y+e\cdot x+f\cdot y=0.
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