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You can use the W, S, A and D keys on your keyboard to control the camera as well as the controls in the image.

CONIC SECTIONS are formed when a plane intersects a cone. Depending on the angle you can get a circle, ellipse, or parabola.

CIRCLES are formed when a plane intersects a cone and that plane lies parallel to the base of that cone.

ELLIPSES are formed when a plane intersects a cone and that plane does not lie parallel to the base or sides of that cone. Ellipses are closed figures.

PARABOLAS are formed when a plane intersects a cone and that plane lies parallel to the edge of that cone. Because the plane lies parallel to the side of the cone it always passes through the base of the cone and so the figure remains open ended. Parabolas are very important figures since they describe the trajectory (flight path) of an object that is thrown and is pulled by gravity. Such an object is called "ballistic". Parabolic reflectors are concave mirrors with a parabolic profile (cross-section) that focus incoming rays to a point (focus). These are very important in astronomy where they are used in reflecting telescopes.

EXPERIMENT by moving the plane around and rotating it. See if you can generate the different types of section. You can inspect the result from many different angles.



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