Tractrix

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High Quality Content by WIKIPEDIA articles! Tractrix is the curve along which a small object moves, under the influence of friction, when pulled on a horizontal plane by a piece of thread and a puller that moves at a right angle to the initial line between the object and the puller at an infinitesimal speed. It is therefore a curve of pursuit. It was first introduced by Claude Perrault in 1670, and later studied by Sir Isaac Newton (1676) and Christian Huygens (1692). Suppose the object is placed at (a,0) [or (4,0) in the example shown at right], and the puller in the origin, so a is the length of the pulling thread [4 in the example at right]. Then the puller starts to move along the y axis in the positive direction.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130354794
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786130354794
    • Format Fachbuch
    • Titel Tractrix
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 80
    • Genre Mathematik

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