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The limit of a pedal sequence of triangles
Bulletin of the London Mathematical Society, 2010Several authors have studied the dynamics of the pedal sequence in which a triangle ABC is replaced by its pedal triangle (whose vertices are the feet of the perpendiculars from each vertex to the opposite side) and this procedure is repeated indefinitely.
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The Symbolic Dynamics of the Sequence of Pedal Triangles
Mathematics Magazine, 1993It is standard in plane geometry to construct the three medians, angle bisectors, or altitudes of a given triangle T. The three lines of any set intersect the opposite sides (or their extensions) of the triangle in three points (the feet) that can be taken as the vertices of a new triangle T'. The process can be iterated.
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Triangles from pedal triangles and centroids
1998This paper proves some new variants of the Mobius-Neuberg and Mobius-Pompeiu theorems.
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The Sequence of Pedal Triangles
The American Mathematical Monthly, 1988John G. Kingston, John L. Synge
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Solution to problem E3392 [1990, 528] - The area of a pedal of a pedal triangle
American Mathematical Monthly, 1992No abstract.
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Single Pedal Control of Battery Electric Vehicle by Pedal Torque Demand With Dynamic Zero Position
IEEE Transactions on Intelligent Transportation Systems, 2022Qin Shi, Zejia He, yujiang wei
exaly