Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Crossbar_theorem> ?p ?o. }
Showing items 1 to 25 of
25
with 100 items per page.
- Crossbar_theorem abstract "In geometry, the crossbar theorem states: if ray AD is between ray AC and ray AB, then ray AD intersects line segment BC.This result is one of the deeper results in axiomatic plane geometry. It is often used in proofs to justify the statement that a line through a vertex of a triangle lying inside the triangle meets the side of the triangle opposite that vertex. This property was often used by Euclid in his proofs without explicit justification.Some modern treatments (not Euclid's) of the proof of the theorem that the base angles of an isosceles triangle are congruent start like this: Let ABC be a triangle with side AB congruent to side AC. Draw the angle bisector of angle A and let D be the point at which it meets side BC. And so on. The justification for the existence of point D is the often unstated crossbar theorem. For this particular result, other proofs exist which do not require the use of the crossbar theorem.".
- Crossbar_theorem thumbnail Crossbar_theorem_diagram.svg?width=300.
- Crossbar_theorem wikiPageID "22819741".
- Crossbar_theorem wikiPageRevisionID "575151048".
- Crossbar_theorem hasPhotoCollection Crossbar_theorem.
- Crossbar_theorem subject Category:Euclidean_plane_geometry.
- Crossbar_theorem subject Category:Theorems_in_geometry.
- Crossbar_theorem type Abstraction100002137.
- Crossbar_theorem type Communication100033020.
- Crossbar_theorem type Message106598915.
- Crossbar_theorem type Proposition106750804.
- Crossbar_theorem type Statement106722453.
- Crossbar_theorem type Theorem106752293.
- Crossbar_theorem type TheoremsInGeometry.
- Crossbar_theorem comment "In geometry, the crossbar theorem states: if ray AD is between ray AC and ray AB, then ray AD intersects line segment BC.This result is one of the deeper results in axiomatic plane geometry. It is often used in proofs to justify the statement that a line through a vertex of a triangle lying inside the triangle meets the side of the triangle opposite that vertex.".
- Crossbar_theorem label "Crossbar theorem".
- Crossbar_theorem label "Teorema das barras cruzadas".
- Crossbar_theorem sameAs Teorema_das_barras_cruzadas.
- Crossbar_theorem sameAs m.063z6t3.
- Crossbar_theorem sameAs Q5188510.
- Crossbar_theorem sameAs Q5188510.
- Crossbar_theorem sameAs Crossbar_theorem.
- Crossbar_theorem wasDerivedFrom Crossbar_theorem?oldid=575151048.
- Crossbar_theorem depiction Crossbar_theorem_diagram.svg.
- Crossbar_theorem isPrimaryTopicOf Crossbar_theorem.