今頃気づいたが 下記ガロア第一論文でも ”The last application of the theory of equations is related to the modular. equation of elliptic functions.” と使われているね ”related to the modular. equation of elliptic functions.”だね レムニスケートの等分と類似ないし同じ意味だね
(参考)(>>90より再録) https://www.ias.ac.in/article/fulltext/reso/004/10/0093-0100 The Last Mathematical Testament of Galois Evariste Galois's last mathematical testament in the form ofa letter to his friend Auguste Chevallier is reproduced here in English translation I.
P3 The last application of the theory of equations is related to the modular. equation of elliptic functions. We show that the group of the equation which has for roots the sine of the amplitude of p2 - 1 divisions of a period is: