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Statements

Subject Item
dbr:Sylvester's_theorem
dbo:wikiPageWikiLink
dbr:Sylvester's_triangle_problem
Subject Item
dbr:James_Joseph_Sylvester
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dbr:Sylvester's_triangle_problem
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dbr:Sylvester's_triangle_problem
Subject Item
dbr:Sylvester's_triangle_problem
rdfs:label
Relation de Sylvester dans le triangle Satz von Sylvester Sylvester's triangle problem
rdfs:comment
Der Satz von Sylvester (auch Formel von Sylvester, benannt nach James Joseph Sylvester) beschreibt eine geometrische Deutung der Summe dreier paarweise verschiedener aber gleich langer Vektoren. Als Aufgabenstellung formuliert wird er in der Literatur auch als Problem von Sylvester oder Dreiecksaufgabe von Sylvester bezeichnet. En géométrie, la relation de Sylvester, portant le nom de James Joseph Sylvester, est une relation vectorielle entre le centre du cercle circonscrit d'un triangle et son orthocentre. Sylvester's theorem or Sylvester's formula describes a particular interpretation of the sum of three pairwise distinct vectors of equal length in the context of triangle geometry. It is also referred to as Sylvester's (triangle) problem in literature, when it is given as a problem rather than a theorem. The theorem is named after the British mathematician James Joseph Sylvester.
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dbc:Triangle_problems dbc:Theorems_about_triangles
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n19:11398.pdf
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dbpedia-de:Satz_von_Sylvester wikidata:Q97096104 dbpedia-ro:Teorema_Sylvester_(geometrie) n16:CfaiH dbpedia-fr:Relation_de_Sylvester_dans_le_triangle
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Sylvester's Triangle Problem
dbo:abstract
En géométrie, la relation de Sylvester, portant le nom de James Joseph Sylvester, est une relation vectorielle entre le centre du cercle circonscrit d'un triangle et son orthocentre. Sylvester's theorem or Sylvester's formula describes a particular interpretation of the sum of three pairwise distinct vectors of equal length in the context of triangle geometry. It is also referred to as Sylvester's (triangle) problem in literature, when it is given as a problem rather than a theorem. The theorem is named after the British mathematician James Joseph Sylvester. Der Satz von Sylvester (auch Formel von Sylvester, benannt nach James Joseph Sylvester) beschreibt eine geometrische Deutung der Summe dreier paarweise verschiedener aber gleich langer Vektoren. Als Aufgabenstellung formuliert wird er in der Literatur auch als Problem von Sylvester oder Dreiecksaufgabe von Sylvester bezeichnet.
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wikipedia-en:Sylvester's_triangle_problem
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