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Revisiting intersection of nine-point circle in the universal mode using novel computing tools (Revisiting Schrödder’s findings)

5 pagesPublished: June 12, 2017

Abstract

The geometries of points, lines, line segments, triangles and circles have been studied at depth by many learned mathematicians, scholars and researchers for a long period of time. Among these geometries the geometrical properties of nine-point circle is indeed interesting, fascinating and glamorous also. The curiosity present in human mind have motivated the aforesaid community to explore the properties of more than one nine-point circle emerging from four arbitrarily chosen points. In this paper the authors have attempted to simulate a few of them in a user friendly environment and bringing in light a case which is yet not either studied or not found in the prevailing literature, as regards Schro ̈dder’s findings. Key words: Nine-point circle, ortho-centric points, collinear points, MATLAB

Keyphrases: Collinear points, Nine-point circle, ortho centric points

In: Rajkumar Buyya, Rajiv Ranjan, Sumantra Dutta Roy, Mehul Raval, Mukesh Zaveri, Hiren Patel, Amit Ganatra, Darshak G. Thakore, Trupti A. Desai, Zankhana H. Shah, Narendra M. Patel, Mukesh E. Shimpi, Rajiv B. Gandhi, Jagdish M. Rathod, Bhargav C. Goradiya, Mehfuza S. Holia and Dharita K. Patel (editors). ICRISET2017. International Conference on Research and Innovations in Science, Engineering and Technology. Selected Papers in Computing, vol 2, pages 20--24

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BibTeX entry
@inproceedings{ICRISET2017:Revisiting_intersection_of_nine_point,
  author    = {Jagadish K Chauhan and R.B. Gandhi},
  title     = {Revisiting intersection of nine-point circle in the universal mode using novel computing tools (Revisiting Schr\textbackslash{}"odder's findings)},
  booktitle = {ICRISET2017. International Conference on Research and Innovations in Science, Engineering and Technology. Selected Papers in Computing},
  editor    = {Rajkumar Buyya and Rajiv Ranjan and Sumantra Dutta Roy and Mehul Raval and Mukesh Zaveri and Hiren Patel and Amit Ganatra and Darshak G. Thakore and Trupti A. Desai and Zankhana H. Shah and Narendra M. Patel and Mukesh E. Shimpi and Rajiv B. Gandhi and Jagdish M. Rathod and Bhargav C. Goradiya and Mehfuza S. Holia and Dharita K. Patel},
  series    = {Kalpa Publications in Computing},
  volume    = {2},
  pages     = {20--24},
  year      = {2017},
  publisher = {EasyChair},
  bibsource = {EasyChair, http://www.easychair.org},
  issn      = {2515-1762},
  url       = {https://easychair.org/publications/paper/D4SL},
  doi       = {10.29007/qkhv}}
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