About: Orthocentric tetrahedron

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In geometry, an orthocentric tetrahedron is a tetrahedron where all three pairs of opposite edges are perpendicular. It is also known as an orthogonal tetrahedron since orthogonal means perpendicular. It was first studied by Simon Lhuilier in 1782, and got the name orthocentric tetrahedron by G. de Longchamps in 1890.

Attributes	Values
rdfs:label	Tétraèdre orthocentrique (fr) Orthocentric tetrahedron (en)
rdfs:comment	En géométrie, un tétraèdre orthocentrique, est un tétraèdre dont les quatre hauteurs sont concourantes. Leur point de concours est alors désigné comme l'orthocentre du tétraèdre. Il a été étudié par Simon Lhuilier en 1782 , puis par G. de Longchamps en 1890, qui lui a donné son nom . Le tétraèdre régulier, et le tétraèdre trirectangle en sont des cas particuliers, mais pas le tétraèdre quadrirectangle. (fr) In geometry, an orthocentric tetrahedron is a tetrahedron where all three pairs of opposite edges are perpendicular. It is also known as an orthogonal tetrahedron since orthogonal means perpendicular. It was first studied by Simon Lhuilier in 1782, and got the name orthocentric tetrahedron by G. de Longchamps in 1890. (en)
dcterms:subject	Polyhedra
Wikipage page ID	34286384 (xsd:integer)
Wikipage revision ID	988331244 (xsd:integer)
Link from a Wikipage to another Wikipage	Perpendicular Volume Gaston Albert Gohierre de Longchamps Rhombohedron Geometry Concurrent lines Centroid Disphenoid Trirectangular tetrahedron Polyhedra Parallelepiped Necessary and sufficient condition Tetrahedron Circumscribed sphere If and only if Simon Antoine Jean L'Huilier
sameAs	Orthocentric tetrahedron Orthocentric tetrahedron Orthocentric tetrahedron Orthocentric tetrahedron
dbp:wikiPageUsesTemplate	dbt:Reflist
has abstract	En géométrie, un tétraèdre orthocentrique, est un tétraèdre dont les quatre hauteurs sont concourantes. Leur point de concours est alors désigné comme l'orthocentre du tétraèdre. Il a été étudié par Simon Lhuilier en 1782 , puis par G. de Longchamps en 1890, qui lui a donné son nom . Le tétraèdre régulier, et le tétraèdre trirectangle en sont des cas particuliers, mais pas le tétraèdre quadrirectangle. (fr) In geometry, an orthocentric tetrahedron is a tetrahedron where all three pairs of opposite edges are perpendicular. It is also known as an orthogonal tetrahedron since orthogonal means perpendicular. It was first studied by Simon Lhuilier in 1782, and got the name orthocentric tetrahedron by G. de Longchamps in 1890. In an orthocentric tetrahedron the four altitudes are concurrent. This common point is called the orthocenter, and it has the property that it is the symmetric point of the center of the circumscribed sphere with respect to the centroid. Hence the orthocenter coincides with the Monge point of the tetrahedron. (en)
gold:hypernym	Tetrahedron
prov:wasDerivedFrom	wikipedia-en:Orthocentric_tetrahedron?oldid=988331244&ns=0
page length (characters) of wiki page	3305 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Orthocentric_tetrahedron
is Link from a Wikipage to another Wikipage of	Rhombohedron Concurrent lines Disphenoid List of Greek and Latin roots in English/O Tetrahedron Hinge theorem
is foaf:primaryTopic of	wikipedia-en:Orthocentric_tetrahedron

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