论文标题
Legendre的奇异模量
Legendre's Singular Modulus
论文作者
论文摘要
我们详细阐述了Legendre的原始证据，证明了他发现了数学史上第一个奇异模量，以及它在Ramanujan的出现中，以椭圆形长度，带有上述奇异模量为偏心，以及它在Bernoulli loullli locemnismiscate的三体舞蹈中的出现。
We elaborate Legendre's original proof of his discovery of the first singular modulus in the history of mathematics, as well as its appearance in Ramanujan's formula for the arc length of an ellipse with said singular modulus as eccentricity, and its appearance in the three-body choreography of Bernoulli's lemniscate.
