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A Symbolic proof of Euler's Addition Theorem for Elliptic Functions

Published online by Cambridge University Press:  20 January 2009

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§1. Let be a binary quartic; then I propose to show symbolically that the solution of Euler's differential equation

can be written in the form

where

are otherwise arbitrary.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1925

References

page 14 note * Grace, and Young, , Algebra of Invariants, p. 198.Google Scholar

page 15 note * Grace, and Young, , loco, cit., p. 198.Google Scholar

page 17 note * Prof. Turnbull, H. W., Proc. Roy. Soc, Edinb., 44 (1924), 2350CrossRefGoogle Scholar.

page 19 note * Proc. R.S.E., loco. cit.

page 20 note * The notation used is that of Peano, quoted in Proc. R. S. E., loco. cit.