What Are The Four Conic Sections

Circles parabolas ellipses and hyperbolas.

What are the four conic sections. Here is the major axis and minor axis of an ellipse. There is a focus and directrix on each side ie a pair of them. Conic sections have been studied for a quite a long time.

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 appearance of each conic section has trends based on the values of the constants in the equation. Circle ellipse parabola and hyperbola.

Depending on the energy of an orbiting body orbit shapes that are any of the four types of conic sections are possible. Circles ellipses hyperbolas and parabolas. The ancient greek mathematicians studied conic sections culminating around 200.

In a parabola is four times the focal length. The four conic section shapes each have different values of latex e latex. Introduction to conic sections by definition a conic section is a curve obtained by intersecting a cone with a plane.

There are four basic types. In algebra ii we work with four main types of conic sections. Image 1 shows a parabola image 2 shows a circle bottom and an ellipse top and image 3 shows a hyperbola.

Our mission is to provide a free world class education to anyone anywhere. By changing the angle and location of the intersection we can produce different types of conics. The equations of conic sections are very important because they tell you not only which conic section you should be graphing but also what the graph should look like.