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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika
Caturiyati Caturiyati
Jurusan Pendidikan Matematika, FMIPA Universitas Negeri Yogyakarta
Education Mathematics

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INVERSI DAN TITIK-TITIK HARMONIS himmawati puji; Caturiyati Caturiyati
Pythagoras: Jurnal Matematika dan Pendidikan Matematika Vol 3, No 1: Juni 2007
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (216.388 KB) | DOI: 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.
Co-Authors himmawati puji