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Generalizations of Pedal Coordinates

I recently "stumbled upon" the article Pedal coordinates, Dark Kepler and other force problems by Petr Blaschke from 2017; further search about Pedal Coordinates didn't bring up any other relevant online resources; from the references on Wolfram Mathworld I get the impression, that the topic hasn't been the subject and/or means of mathematical research for some decades.


Questions:

  • where, except in the cited article by Petr Blaschke, have Pedal Coordinates played an important role in recent mathematical publications

  • have there been attempts to generalize Pedal Coordinates to higher dimensions and/or other numbers besides the reals like e.g. complex numbers

Manfred Weis
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