释义 |
Fagnano's TheoremIf and are two points on an Ellipse
| (1) |
with Eccentric Angles and such that
| (2) |
and and . Then
| (3) |
This follows from the identity
| (4) |
where is an incomplete Elliptic Integral of the Second Kind, is a complete Elliptic Integralof the Second Kind, and is a Jacobi Elliptic Function. If and coincide, the point where they coincide is called Fagnano's Point.
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