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A Note on the Envelope of a Certain Family of Curves

โœ Scribed by Pars, L. A.


Book ID
120098982
Publisher
Oxford University Press
Year
1947
Tongue
English
Weight
162 KB
Volume
s1-22
Category
Article
ISSN
0024-6107

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๐Ÿ“œ SIMILAR VOLUMES


On the envelope of 1-parameter families
โœ Gianmarco Capitanio ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 120 KB

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