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A sufficient condition for a point to be of swallowtail type on the envelope of a one-parameter family of surfaces

✍ Scribed by V. V. Mozharskií


Publisher
Springer US
Year
1990
Tongue
English
Weight
354 KB
Volume
48
Category
Article
ISSN
1573-8795

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On the envelope of 1-parameter families
✍ Gianmarco Capitanio 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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