Algebra: Conic sections - ellipse, parabola, hyperbola

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The name conic section originates from the fact that if you take a regular cone and "slice it" with a perfect plane, you get all kinds of interesting shapes. They include ellipse, parabola, and hyperbola. All these conic sections can be described by second order equation
ax^2+bxy+cy^2+dx+ey=f

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