Graduate Jacobi Elliptic Functions and Integrals

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The discussion centers on finding resources that intuitively explain Jacobi Elliptic functions and their geometric interpretations related to ellipses. A web article was shared that connects points on an ellipse to a circle, which may aid in understanding these functions as generalizations of circular trigonometric functions. Participants are also seeking information on hyperbolic functions and their corresponding trigonometric parallels. A request was made for a specific PDF that is no longer accessible, highlighting the need for reliable resources. The Digital Library of Mathematical Functions was recommended as a starting point for information on special functions.
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Are there any useful references or resources that intuitively show how Jacobi Elliptic functions [sn, cn, dn, etc] are geometrically interpreted from properties of ellipses? And how the Jacobi Elliptic functions and integrals can be shown to be generalizations of circular trig functions? Thanks!
 
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The first place I always look for info on special functions is the Digital Library of Mathematical Functions
https://dlmf.nist.gov/
It might not have everything you are looking for, but it does have some of it. Have you looked there?

Jason
 
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Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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