INVERSI DAN TITIK-TITIK HARMONIS

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

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

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