An ellipse is the locus of points whose distances from two fixed foci have constant sum. If the focal distance is and the sum is , its semimajor and semiminor axes are and .
A nondegenerate ellipse has two positive semiaxis lengths. It is a smooth closed curve rather than a point or line segment.
The focal line of an ellipse is the straight line through its two foci.
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An ellipse is a shape that can be defined in several ways in mathematics and geometry. Here are some key points about ellipses: 1. **Geometric Definition**: An ellipse is the set of all points in a plane where the sum of the distances from two fixed points (called foci) is constant. This characteristic gives rise to its elongated circular shape.