Open AccessA Property of Euler's Elastic Curve
Author(s) -
Victor H. Moll,
Pamela A. Neill,
Judith L. Nowalsky,
Leonardo Solanilla
Publication year - 2000
Publication title -
elemente der mathematik
Language(s) - English
Resource type - Journals
eISSN - 1420-8962
pISSN - 0013-6018
DOI - 10.1007/s000170050081
Subject(s) - mathematics , generalization , legendre polynomials , euler's formula , property (philosophy) , mathematical analysis , semi implicit euler method , elliptic curve , pure mathematics , legendre transformation , backward euler method , euler equations , philosophy , epistemology
Legendre’s formula for the classical elliptic integrals is discussed. We present a generalization of Euler’s proof of the lemniscatic case of modulus k = √ −1 to the curves
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