About: Line–sphere intersection

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In analytic geometry, a line and a sphere can intersect in three ways: 1. * No intersection at all 2. * Intersection in exactly one point 3. * Intersection in two points. Methods for distinguishing these cases, and determining the coordinates for the points in the latter cases, are useful in a number of circumstances. For example, it is a common calculation to perform during ray tracing.

Attributes	Values
rdfs:label	Line–sphere intersection (en) Przecięcie prostej ze sferą (pl)
rdfs:comment	In analytic geometry, a line and a sphere can intersect in three ways: 1. * No intersection at all 2. * Intersection in exactly one point 3. * Intersection in two points. Methods for distinguishing these cases, and determining the coordinates for the points in the latter cases, are useful in a number of circumstances. For example, it is a common calculation to perform during ray tracing. (en) W geometrii analitycznej prosta i sfera mogą mieć część wspólną w dokładnie jednym punkcie, dwóch punktach bądź wcale. Metody rozróżniania tych przypadków i ustalania punktów przecięcia są używane jako algorytm wykonywany wielokrotnie podczas operacji śledzenia promieni. (pl)
foaf:depiction
dcterms:subject	Geometric intersection Geometric algorithms Analytic geometry Spherical geometry
Wikipage page ID	5540055 (xsd:integer)
Wikipage revision ID	1123297372 (xsd:integer)
Link from a Wikipage to another Wikipage	Quadratic formula Intersection Intersection (geometry) Coordinates Analytic geometry Geometric intersection Plane–sphere intersection Geometric algorithms Line (mathematics) Line–plane intersection Analytic geometry Spherical geometry Ray tracing (graphics) Dot product Plane–plane intersection Sphere Vector notation
sameAs	Line–sphere intersection Line–sphere intersection Line–sphere intersection Line–sphere intersection
dbp:wikiPageUsesTemplate	dbt:Reflist
thumbnail	wiki-commons:Special:FilePath/Line-Sphere_Intersection_Cropped.png?width=300
has abstract	In analytic geometry, a line and a sphere can intersect in three ways: 1. * No intersection at all 2. * Intersection in exactly one point 3. * Intersection in two points. Methods for distinguishing these cases, and determining the coordinates for the points in the latter cases, are useful in a number of circumstances. For example, it is a common calculation to perform during ray tracing. (en) W geometrii analitycznej prosta i sfera mogą mieć część wspólną w dokładnie jednym punkcie, dwóch punktach bądź wcale. Metody rozróżniania tych przypadków i ustalania punktów przecięcia są używane jako algorytm wykonywany wielokrotnie podczas operacji śledzenia promieni. (pl)
prov:wasDerivedFrom	wikipedia-en:Line–sphere_intersection?oldid=1123297372&ns=0
page length (characters) of wiki page	4311 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Line–sphere_intersection
is Link from a Wikipage to another Wikipage of	Intersection (geometry) Circle-line intersection Line-circle intersection Ray tracing (graphics) Sphere-line intersection Circle of a sphere Line-sphere intersection Line–circle intersection Circle–line intersection Ray-sphere intersection Sphere–line intersection
is Wikipage redirect of	Circle-line intersection Line-circle intersection Sphere-line intersection Line-sphere intersection Line–circle intersection Circle–line intersection Ray-sphere intersection Sphere–line intersection
is foaf:primaryTopic of	wikipedia-en:Line–sphere_intersection

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