Hypotrochoid

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Details

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A hypotrochoid is a roulette traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R, where the point is a distance d from the center of the interior circle. In the differential geometry of curves, a roulette is a kind of curve, generalizing cycloids, epicycloids, hypocycloids, trochoids, and involutes. Roughly speaking, it is the curve described by a point (called the generator or pole) attached to a given curve as it rolls without slipping along a second given curve that is fixed. More precisely, given a curve attached to a plane which is moving so that the curve rolls without slipping along a given curve attached to a fixed plane occupying the same space, then a point attached to the moving plane describes a curve in the fixed plane called a roulette.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131229930
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131229930
    • Format Fachbuch
    • Titel Hypotrochoid
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 92
    • Genre Mathematik

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