On 01/05/2025 17:37, Bald Eagle wrote:
> kurtz le pirate <kur### [at] freefr> wrote:
> 
>> Simple. Here, half-width a = 24 = c√2.
>>
>>                     2*π
>> Then, length = --------- * c
>>                  M(1,1/√2)
>>
>>
>> With M(a,b) the arithmetic–geometric mean function.
> 
> Maybe not so simple?
> https://en.wikipedia.org/wiki/Elliptic_function#History


That's right.

But my answer is more of a joke and a simple copy/paste from Wiki
<https://en.wikipedia.org/wiki/Lemniscate_of_Bernoulli#Arc_length_and_elliptic_functions>








-- 
kurtz le pirate
compagnie de la banquise

Post a reply to this message