Ultraparallel theorem (original) (raw)

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dbo:abstract En géométrie hyperbolique, deux droites peuvent être sécantes, parallèles asymptotes (elles ont un point à l'infini commun), ou ultraparallèles. Le théorème des ultraparallèles affirme que tout couple de droites ultraparallèles possède une unique perpendiculaire commune (c'est-à-dire une droite coupant à angle droit les deux autres). (fr) In hyperbolic geometry, two lines may intersect, be ultraparallel, or be limiting parallel. The ultraparallel theorem states that every pair of (distinct) ultraparallel lines has a unique common perpendicular (a hyperbolic line which is perpendicular to both lines). (en)
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rdfs:comment En géométrie hyperbolique, deux droites peuvent être sécantes, parallèles asymptotes (elles ont un point à l'infini commun), ou ultraparallèles. Le théorème des ultraparallèles affirme que tout couple de droites ultraparallèles possède une unique perpendiculaire commune (c'est-à-dire une droite coupant à angle droit les deux autres). (fr) In hyperbolic geometry, two lines may intersect, be ultraparallel, or be limiting parallel. The ultraparallel theorem states that every pair of (distinct) ultraparallel lines has a unique common perpendicular (a hyperbolic line which is perpendicular to both lines). (en)
rdfs:label Théorème des ultraparallèles (fr) Ultraparallel theorem (en)
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