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Conic Sections

Conic Sections. An Introduction. Conic Sections - Introduction. A conic is a shape generated by intersecting two lines at a point and rotating one line around the other while keeping the angle between the lines constant. Conic Sections - Introduction.

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Conic Sections

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  1. Conic Sections An Introduction

  2. Conic Sections - Introduction • A conic is a shape generated by intersecting two lines at a point and rotating one line around the other while keeping the angle between the lines constant.

  3. Conic Sections - Introduction • The resulting collection of points is called a right circular cone. The two parts of the cone intersecting at the vertex are called nappes. Vertex Nappe

  4. Conic Sections - Introduction • A “conic” or conic section is the intersection of a plane with the cone. • The plane can intersect the cone at the vertex resulting in a point.

  5. Conic Sections - Introduction • The plane can intersect the cone perpendicular to the axis resulting in a circle.

  6. Conic Sections - Introduction • The plane can intersect one nappe of the cone at an angle to the axis resulting in an ellipse.

  7. Conic Sections - Introduction • The plane can intersect one nappe of the cone at an angle to the axis resulting in a parabola.

  8. Conic Sections - Introduction • The plane can intersect two nappes of the cone resulting in a hyperbola.

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