On the Rectification of Lemniscates and Other Curves
โ Scribed by William Roberts
- Book ID
- 123751238
- Year
- 1840-1844
- Weight
- 360 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0302-7597
- DOI
- 10.2307/20520088
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
dedicated to professor r. s. varga on the occasion of his seventieth birthday For an arbitrary continuum E in the complex plane with connected complement 0 we study the rate of approximation of E from outside by lemniscates in terms of level lines of a conformal mapping of 0 onto the exterior of th
We discuss the numerical computation of the cosine lemniscate function and its inverse, the lemniscate integral. These were previously studied by Bernoulli, Euler, Gauss, Abel, Jacobi and Ramanujan. We review general elliptic formulas for this special case and provide some novelties. We show that a