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A note on families of fragility curves—is the composite curve equivalent to the mean curve?

✍ Scribed by Stan Kaplan; Vicki M. Bier; Dennis C. Bley

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
253 KB
Volume
43
Category
Article
ISSN
0951-8320

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On the envelope of 1-parameter families
On the envelope of 1-parameter families of curves tangent to a semicubic cusp
✍ 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