Tractrix

Tractrix

Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken

     

бумажная книга



Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-6-1303-5479-4
Объём: 80 страниц
Масса: 141 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

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.

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