Conics Generator

If you have a right cone and perform transversal cuts at different angles with the height of the cone then you get the different conics: Parabola, Hyperbola, Ellipse, and Circle. Now, you may generate these with a rotating line whose center of rotation is a point joining two cones on the same line intersecting at their respective vertices, one on top of the other and performing the cuts in the solid formed this way. This line is called a generator. In this lesson videos you will see how this "generator" works for each one of these four conics.

Lesson's Content

Lesson In PDF Format (no animations)

PURCHASE INFORMATION

Lesson's Glossary

 

Conics

All sections generated by performing transversal cuts to a right cone.

Parabola

The geometric space that is equidistant from a line called the directrix and a point of a parpendicular to this calle the focus.

Ellipse

The abolute value sum of the distances from two fixed points called focii and a geometric space for which this sum remains constant.

Hyperbola

The absolute value difference of two points called focii and a a geometric space for which this difference remains constant.

Circle

A geometric space that is equidistant from a point called center.

 

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