An Elementary Treatise on Elliptic Functions

1+ku 2siK addition-equation B+ C)² b₁ cn u dn coefficients complete functions cos² curve cx² denom denominator denote differential equation dn² dx² elliptic functions elliptic integrals equation becomes expression factor Fcap formula functions sn gives hence imaginary Jacobi's k² sn² k²² k²x² ksin kx² modular equation modulus multiplying numerator observing obtain parameter quadric quadric transformation quartic function rational function regards relation satisfied similarly sin² sin³ sin³µ sino sn² 4sw sn² a sn² sn³ substituting tan² thence theorem theory u³v uv³ values whence writing therein аф пи