PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Document Type
Article
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.
Page Range
78-84
Issue
1
Volume
3
Digital Object Identifier (DOI)
10.21831/pg.v3i1.645
Source
https://journal.uny.ac.id/index.php/pythagoras/article/view/645
Recommended Citation
puji, h., & Caturiyati, C. (2007). INVERSI DAN TITIK-TITIK HARMONIS. PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika, 3(1), 78-84. https://doi.org/10.21831/pg.v3i1.645
References
Alexander Bogomolny (2007). Cross Ratio. http://www.cut-the- knot.org/pythagoras/Cross-Ratio.shtml. Didownload pada 14 Mei 2007.
Eves, Howard. (1972). A Survey of Geometry. Boston : Allyn and Bacon.
Stephen Hugget. (2004). Inversive Geometry. http://homepage.mac.com/stephen_huggett/home.html. Didownload pada 26 Juli 2006.
Paul Kunkel (2003). Inversion Geometry. whistling@whistleralley.com . Didownload pada 25 Mei 2007.