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Due to most conventional way for writing functions (two parts) that represents a ellipse is (x - a)^2 / c + (y - b)^2 / d = 1, which is similar to those of conic functions (hyperbolas) where + is replaced with - in the middle. Yet you can think of -d replaces d.

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Q: Why is an ellipse considered a conic section and not a cylindrical section?
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What conic sections describes a closed curve?

An ellipse is a conic section which is a closed curve. A circle is a special case of an ellipse.


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