Conic Sections

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Conic Sections

• An Introduction

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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.

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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
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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.

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Conic Sections - Introduction

• The plane can intersect the cone perpendicular to
  the axis resulting in a circle.

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Conic Sections - Introduction

• The plane can intersect one nappe of the cone at
  an angle to the axis resulting in an ellipse.

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Conic Sections - Introduction

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

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Conic Sections - Introduction

• The plane can intersect two nappes of the cone
  resulting in a hyperbola.