Both branches belong to the tractrix, meeting at the cusp point.
2.
Modern horn designs typically feature some form of conical, exponential or tractrix taper.
3.
See tractrix for an idea of how to deal with a point being dragged by a string.
4.
The trademark of all three is the use of the new 90-degree by 90-degree XT Tractrix horn.
5.
A great implication that the tractrix had was the study of the revolution surface of it around its asymptote : the pseudosphere.
6.
As of 2006, the majority of current Klipsch models are two-way designs, utilizing a tractrix horn for the upper midrange and treble.
7.
It is the locus of a point on the tangent of a tractrix at a constant distance from the point of tangency, as the point of tangency is moved along the curve.
8.
The idea was carried further by Kasner and Newman in their book " Mathematics and the Imagination ", where they show a toy train dragging a pocket watch to generate the tractrix.
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