Some roller coasters can loop-the-loop, but the loop isn't a circle itself, more like the middle of a Venn diagram. The shape and size of the loop is determent by the centripetal force - the force that keeps you from falling out of the roller coaster while it's upside down.
In 1884, Phillip Hinkle patented a powered chain to pull the cars up the first incline before letting gravity take over. Because of this, Hinkle coasters could be built on elliptical paths rather than move from point A to B.
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