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- Projective_harmonic_conjugate abstract "In projective geometry, the harmonic conjugate point of an ordered triple of points on the real projective line is defined by the following construction:Given three collinear points A, B, C, let L be a point not lying on their join and let any line through C meet LA, LB at M, N respectively. If AN and BM meet at K, and LK meets AB at D, then D is called the harmonic conjugate of C with respect to A, B.What is remarkable is that the point D does not depend on what point L is taken initially, nor upon what line through C is used to find M and N. This fact follows from Desargues theorem; it can also be defined in terms of the cross-ratio as (A, B; C, D) = −1.".
- Projective_harmonic_conjugate thumbnail Pappusharmonic.svg?width=300.
- Projective_harmonic_conjugate wikiPageExternalLink books?id=r3ILAAAAYAAJ.
- Projective_harmonic_conjugate wikiPageExternalLink projective-geometry.
- Projective_harmonic_conjugate wikiPageID "16094600".
- Projective_harmonic_conjugate wikiPageRevisionID "603530782".
- Projective_harmonic_conjugate hasPhotoCollection Projective_harmonic_conjugate.
- Projective_harmonic_conjugate subject Category:Projective_geometry.
- Projective_harmonic_conjugate comment "In projective geometry, the harmonic conjugate point of an ordered triple of points on the real projective line is defined by the following construction:Given three collinear points A, B, C, let L be a point not lying on their join and let any line through C meet LA, LB at M, N respectively.".
- Projective_harmonic_conjugate label "Division harmonique".
- Projective_harmonic_conjugate label "Harmonische Teilung".
- Projective_harmonic_conjugate label "Harmonische ligging".
- Projective_harmonic_conjugate label "Projective harmonic conjugate".
- Projective_harmonic_conjugate label "Гармоническая четвёрка".
- Projective_harmonic_conjugate sameAs Harmonische_Teilung.
- Projective_harmonic_conjugate sameAs Division_harmonique.
- Projective_harmonic_conjugate sameAs Harmonische_ligging.
- Projective_harmonic_conjugate sameAs m.03qp0nk.
- Projective_harmonic_conjugate sameAs Q1101140.
- Projective_harmonic_conjugate sameAs Q1101140.
- Projective_harmonic_conjugate wasDerivedFrom Projective_harmonic_conjugate?oldid=603530782.
- Projective_harmonic_conjugate depiction Pappusharmonic.svg.
- Projective_harmonic_conjugate isPrimaryTopicOf Projective_harmonic_conjugate.
