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Evolute
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Geliefert zwischen Mo., 02.02.2026 und Di., 03.02.2026
Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. Equivalently, it is the envelope of the normals to a curve. The original curve is an involute of its evolute.Apollonius (c. 200 BC) discussed evolutes in Book V of his Conics. However, Huygens is sometimes credited with being the first to study them (1673).The radius of curvature at (s) is, in magnitude, the radius of the circle which forms the best approximation of the curve to second order at the point: that is, it is the radius of the circle making second order contact with the curve, the osculating circle. The sign of the radius of curvature indicates the direction in which the osculating circle moves if it is parameterized in the same direction as the curve at the point of contact: it is positive if the circle moves in a counterclockwise sense, and negative otherwise.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131227172
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131227172
- Format Fachbuch
- Titel Evolute
- Herausgeber Betascript Publishing
- Anzahl Seiten 104
- Genre Mathematik
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