INVERSI DAN TITIK-TITIK HARMONIS

Authors

  • himmawati puji Jurusan Pendidikan Matematika, FMIPA Universitas Negeri Yogyakarta
  • Caturiyati Caturiyati Jurusan Pendidikan Matematika, FMIPA Universitas Negeri Yogyakarta

DOI:

https://doi.org/10.21831/pg.v3i1.645

Abstract

Given a circle centre O and radius r in  , the inversion in this circle is the mapping   defined by  , where   lies on the straight line through O and A, and on the same side of O as A, and  . It will be investigated the property of inversion related to four harmonic points. The result is that the cross-ratio of any four coplanar points A, B, C, D is invariant under inversion. Hence, the inversion preserves the four harmonic points.
Keywords : inversion, cross ratio, four harmonic points.

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How to Cite

puji, himmawati, & Caturiyati, C. (2012). INVERSI DAN TITIK-TITIK HARMONIS. PYTHAGORAS Jurnal Matematika Dan Pendidikan Matematika, 3(1). https://doi.org/10.21831/pg.v3i1.645

Issue

Vol. 3 No. 1: Juni 2007

Section

Articles

License

Creative Commons License
Pythagoras is licensed under a Creative Commons Attribution 4.0 International License.
Based on a work at http://journal.uny.ac.id/index.php/pythagoras.