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Mathematics LibreTexts

8: Conic Sections

  • Page ID
    6288
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    • 8.1: Distance, Midpoint, and the Parabola
      A conic section is a curve obtained from the intersection of a right circular cone and a plane. The conic sections are the parabola, circle, ellipse, and hyperbola.
    • 8.2: Circles
      A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center. The diameter is the length of a line segment passing through the center whose endpoints are on the circle. In addition, a circle can be formed by the intersection of a cone and a plane that is perpendicular to the axis of the cone.
    • 8.3: Ellipses
      An ellipse is the set of points in a plane whose distances from two fixed points, called foci, have a sum that is equal to a positive constant.
    • 8.4: Hyperbolas
      A hyperbola is the set of points in a plane whose distances from two fixed points, called foci, has an absolute difference that is equal to a positive constant.
    • 8.5: Solving Nonlinear Systems
      A system of equations where at least one equation is not linear is called a nonlinear system. In this section we will use the substitution method to solve nonlinear systems.
    • 8.E: Conic Sections (Exercises)