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Conic section Wikipedia

In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it was sometimes called a.

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Conic Sections Math2

circle conic, ellipse conic, parabola conic, hyperbola conic. Circle graph circle (horiz.) Ellipse (h) graph ellipse (horiz.) Parabola (h) graph parabola (horiz.) Hyperbola (h) graph hyperbola (horiz.) Definition: A conic section is the intersection of a plane and a cone. Ellipse (v) graph ellipse (vert.) Parabola (v) graph parabola.

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Conic Section from Wolfram MathWorld

The conic sections are the nondegenerate curves generated by the intersections of a plane with one or two nappes of a cone. For a plane perpendicular to the axis of the cone, a circle is produced. For a plane that is not perpendicular to the axis and that intersects only a single nappe, the curve produced is either an ellipse.

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Conic section from expanded equation: ellipse (video) . Khan .

Sal manipulates the equation 9x^2+4y^2+54x 8y+49=0 in order to find that it represents an ellipse.

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Intro to conic sections (video) . Khan Academy

Sal introduces the four conic sections and shows how they are derived by intersecting planes with cones in certain ways.

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