Question: Inscribed square problem

Inscribed square problem

I decided to check on this curve 


I get a very rough solution, because the difference between the sides of the "square" begins already at 1-2 decimal places. More precisely, it doesn’t work, that is, we can say that I personally could not find confirmation of the hypothesis.
The coordinates of the vertices of the square:

                    -0.4823584672, -0.2770841741

                    0.9883885535, -0.3959790155

                    1.108267478, 1.086941264

                   -0.3459185869, 1.219514527

Side lengths:





Perhaps someone would like to try.

Please Wait...