On Series of Curves, especially on the Singularitics of their Envelopes; with Applications to Polar Curves
β Scribed by Henrici, O.
- Book ID
- 120105168
- Publisher
- Oxford University Press
- Year
- 1866
- Tongue
- English
- Weight
- 660 KB
- Volume
- s1-2
- Category
- Article
- ISSN
- 0024-6115
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let p denote a prime, and K a field of characteristic prime to p and containing the pth roots of unity. For p equal to 3 and 5, the author finds a scheme T p and a family of genus one curves over T p such that any genus one curve defined over the field K of index p whose Jacobian elliptic curve E ha
In this Note we study the envelope of 1-parameter family of smooth curves tangent to a curve having a semicubic cusp, such that the radius of curvature at the tangency point vanishes when this point approaches the cusp. We show that, generically, the closure of the envelope has two semicubic cusps a