About: Intersection

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In mathematics, the intersection of two or more objects is another object consisting of everything that is contained in all of the objects simultaneously. For example, in Euclidean geometry, when two lines in a plane are not parallel, their intersection is the point at which they meet. More generally, in set theory, the intersection of sets is defined to be the set of elements which belong to all of them. Unlike the Euclidean definition, this does not presume that the objects under consideration lie in a common space.

Attributes	Values
rdfs:label	Intersection (en) 교점 (ko) 交點 (zh)
rdfs:comment	교점(交點)은 수학에서 둘 이상의 물체가 동시에 포함되는 점이다. 유클리드 기하학에서는 평면 내 두 직선이 평행하지 않을 때 이들이 만나는 점을 교점으로 부른다. 집합론에서는 이 둘 모두에 속하는 원소 집합으로 정의된다. (ko) 交点是指线与线、线与面相交的点。在幾何學上（准确地说在欧几里德空间中），兩條直線如非平行，必存在交點。引申下去，一切事物相交接的時間或空間乃至對應的集合交集之元素，都可被稱為交點。 (zh) In mathematics, the intersection of two or more objects is another object consisting of everything that is contained in all of the objects simultaneously. For example, in Euclidean geometry, when two lines in a plane are not parallel, their intersection is the point at which they meet. More generally, in set theory, the intersection of sets is defined to be the set of elements which belong to all of them. Unlike the Euclidean definition, this does not presume that the objects under consideration lie in a common space. (en)
foaf:depiction
dct:subject	Intersection Broad-concept articles
Wikipage page ID	41780044 (xsd:integer)
Wikipage revision ID	1108529424 (xsd:integer)
Link from a Wikipage to another Wikipage	Element (mathematics) Incidence geometry Mathematics Geometry Giuseppe Peano Constructive solid geometry Line (geometry) Logical conjunction Intersection Parallel lines Partial function Plane (geometry) Point (geometry) Space (mathematics) Algebraic geometry Even number Hermann Grassmann Intersection theory Prime number Broad-concept articles Incidence (geometry) Integer Operation (mathematics) Set (mathematics) Set theory Geometric shape Union (set theory) Euclidean geometry Flat (geometry) Multivalued function Meet (lattice theory) Unicode Mathematical Operators Plane geometry Dimension (mathematics) Dimensionally Extended 9-Intersection Model
sameAs	Intersection Intersection Intersection Intersection Intersection Intersection Intersection
dbp:wikiPageUsesTemplate	dbt:About dbt:Expand_section dbt:Main dbt:MathWorld dbt:Refimprove dbt:Short_description dbt:Unichar dbt:Excerpt
thumbnail	wiki-commons:Special:FilePath/Venn0001.svg?width=300
Link from a Wikipa... related subject.	http://zh-yue.dbpedia.org/resource/交點
has abstract	In mathematics, the intersection of two or more objects is another object consisting of everything that is contained in all of the objects simultaneously. For example, in Euclidean geometry, when two lines in a plane are not parallel, their intersection is the point at which they meet. More generally, in set theory, the intersection of sets is defined to be the set of elements which belong to all of them. Unlike the Euclidean definition, this does not presume that the objects under consideration lie in a common space. Intersection is one of the basic concepts of geometry. An intersection can have various geometric shapes, but a point is the most common in a plane geometry. Incidence geometry defines an intersection (usually, of flats) as an object of lower dimension that is incident to each of original objects. In this approach an intersection can be sometimes undefined, such as for parallel lines. In both cases the concept of intersection relies on logical conjunction. Algebraic geometry defines intersections in its own way with intersection theory. (en) 교점(交點)은 수학에서 둘 이상의 물체가 동시에 포함되는 점이다. 유클리드 기하학에서는 평면 내 두 직선이 평행하지 않을 때 이들이 만나는 점을 교점으로 부른다. 집합론에서는 이 둘 모두에 속하는 원소 집합으로 정의된다. (ko) 交点是指线与线、线与面相交的点。在幾何學上（准确地说在欧几里德空间中），兩條直線如非平行，必存在交點。引申下去，一切事物相交接的時間或空間乃至對應的集合交集之元素，都可被稱為交點。 (zh)
prov:wasDerivedFrom	wikipedia-en:Intersection?oldid=1108529424&ns=0
page length (characters) of wiki page	6147 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Intersection
is location of	Hollywood and Vine
is Link from a Wikipage to another Wikipage of	Cantor's first set theory article Quadric geometric algebra Enumeration reducibility NP (complexity) Sutter Cinema Border Junction, Wyoming Botanicheskaya Bowery Appa Balwant Chowk Ho Chi Minh City–Long Thanh–Dau Giay Expressway Hollywood and Vine Hypertree List of county roads in Washington County, Minnesota Pentagram Perpendicular Victor Aaron Intersection curve Intersubjectivity Kuratowski's intersection theorem Road signs in Canada Intersection (disambiguation) Measurable cardinal Medrano (Buenos Aires Underground)

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