Desargues's theorem

Desargues's theorem

In projective geometry, Desargues's theorem, named after Girard Desargues, states: Two triangles are in perspective axially if and only if they are in perspective centrally. Denote the three vertices of one triangle by a, b and c, and those of the other by A, B and C. Axial perspectivity means that lines ab and AB meet in a point, lines ac and AC meet in a second point, and lines bc and BC meet in a third point, and that these three points all lie on a common line called the axis of perspectivity. Central perspectivity means that the three lines Aa, Bb and Cc are concurrent, at a point called the center of perspectivity.
http://dbpedia.org/resource/Desargues's_theorem

Desargues's theorem

In projective geometry, Desargues's theorem, named after Girard Desargues, states: Two triangles are in perspective axially if and only if they are in perspective centrally. Denote the three vertices of one triangle by a, b and c, and those of the other by A, B and C. Axial perspectivity means that lines ab and AB meet in a point, lines ac and AC meet in a second point, and lines bc and BC meet in a third point, and that these three points all lie on a common line called the axis of perspectivity. Central perspectivity means that the three lines Aa, Bb and Cc are concurrent, at a point called the center of perspectivity.
http://dbpedia.org/resource/Desargues's_theorem
has abstract
De stelling van Desargues is e ...... elling evenzeer van kracht is.
@nl
En geometría proyectiva, el te ...... a recta r, eje de perspectiva.
@es
En mathématiques, le théorème ...... ce) et Plan affine arguésien).
@fr
Il teorema di Desargues, o dei ...... ico francese Girard Desargues.
@it
In projective geometry, Desarg ...... Desargues's theorem is false.
@en
Inom projektiv geometri säger ...... vilka Desargues sats är falsk.
@sv
Na geometria projetiva, o teor ...... cida como linha do horizonte).
@pt
Twierdzenie Desargues’a – jedn ...... , gdy mają oś perspektywiczną.
@pl
В проєктивній геометрії теорем ...... називається центр перспективи.
@uk
Теорема Дезарга является одной из основных теорем проективной геометрии.
@ru
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first
M.I.
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id
d/d031320
@en
last
Voitsekhovskii
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title
Desargues assumption
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De stelling van Desargues is e ...... elling evenzeer van kracht is.
@nl
En geometría proyectiva, el te ...... a recta r, eje de perspectiva.
@es
En mathématiques, le théorème ...... ce) et Plan affine arguésien).
@fr
Il teorema di Desargues, o dei ...... ico francese Girard Desargues.
@it
In projective geometry, Desarg ...... d the center of perspectivity.
@en
Inom projektiv geometri säger ...... C') att ligga på en rät linje.
@sv
Na geometria projetiva, o teor ...... cida como linha do horizonte).
@pt
Twierdzenie Desargues’a – jedn ...... również prawdziwe, odwrócenie:
@pl
В проєктивній геометрії теорем ...... називається центр перспективи.
@uk
Теорема Дезарга является одной из основных теорем проективной геометрии.
@ru
label
Desargues sats
@sv
Desargues's theorem
@en
Satz von Desargues
@de
Stelling van Desargues
@nl
Teorema de Desargues
@es
Teorema de Desargues
@pt
Teorema di Desargues
@it
Théorème de Desargues
@fr
Twierdzenie Desargues’a
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Теорема Дезарга
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