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Hey Randall, talking about conic sections, do you think that Apollonius of Perga already knew that things "thrown beside you" follow the path of a parabola? Or how did he come up with that term? I like the AI (ptooy) explanation of hyperbola better. Yes, it *is* a runaway curve.

Imagine a cone of limited height, perhaps standing on a tabletop. It has two sides: the cone itself, and the flat bottom. This section doesn't just go through the cone, but also the bottom.