Chapter 17
Relating Conics to Sliced Cones
IN THIS CHAPTER
Spinning around with circles
Dissecting the parts and graphs of parabolas
Exploring the ellipse
Boxing around with hyperbolas
Writing and graphing conics in two distinct forms
Astronomers have been looking out into space for a very long time — longer than you’ve been staring at that caramel-covered ice cream cone. Some of the things that are happening out in space are mysteries; others have shown their true colors to curious observers. One phenomenon that astronomers have discovered and proven is about the movement of bodies in space. They know that the paths of objects moving in space are shaped like one of four conic sections (shapes made from cones): the circle, the parabola, the ellipse, or the hyperbola. Conic sections have evolved into popular ways to describe motion, light, and other natural occurrences in the physical world.
In astronomical terms, an ellipse, for example, describes the path of a planet around the ...
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