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- Great_circle abstract "A great circle, also known as an orthodrome or Riemannian circle, of a sphere is the intersection of the sphere and a plane which passes through the center point of the sphere. This partial case of a circle of a sphere is opposed to a small circle, the intersection of the sphere and a plane which does not pass through the center. Any diameter of any great circle coincides with a diameter of the sphere, and therefore all great circles have the same circumference as each other, and have the same center as the sphere. A great circle is the largest circle that can be drawn on any given sphere. Every circle in Euclidean 3-space is a great circle of exactly one sphere.For any two points on the surface of a sphere there is a unique great circle through the two points. An exception is a pair of antipodal points, for which there are infinitely many great circles. The minor arc of a great circle between two points is the shortest surface-path between them. In this sense the minor arc is analogous to “straight lines” in spherical geometry. The length of the minor arc of a great circle is taken as the distance between two points on a surface of a sphere in Riemannian geometry. The great circles are the geodesics of the sphere.In higher dimensions, the great circles on the n-sphere are the intersection of the n-sphere with two-planes that pass through the origin in the Euclidean space Rn+1.".
- Great_circle thumbnail Great_circle_hemispheres.png?width=300.
- Great_circle wikiPageExternalLink GreatCirclesOnMercatorsChart.
- Great_circle wikiPageExternalLink GreatCircle.html.
- Great_circle wikiPageExternalLink gccalc.htm.
- Great_circle wikiPageExternalLink www.acscdg.com.
- Great_circle wikiPageExternalLink www.gcmap.com.
- Great_circle wikiPageExternalLink www.greatcirclemapper.net.
- Great_circle wikiPageExternalLink OrthoFirstProblem.html.
- Great_circle wikiPageExternalLink OrthoSecondProblem.html.
- Great_circle wikiPageID "48082".
- Great_circle wikiPageRevisionID "596050961".
- Great_circle hasPhotoCollection Great_circle.
- Great_circle subject Category:Elementary_geometry.
- Great_circle subject Category:Riemannian_geometry.
- Great_circle subject Category:Spherical_trigonometry.
- Great_circle comment "A great circle, also known as an orthodrome or Riemannian circle, of a sphere is the intersection of the sphere and a plane which passes through the center point of the sphere. This partial case of a circle of a sphere is opposed to a small circle, the intersection of the sphere and a plane which does not pass through the center.".
- Great_circle label "Cerchio massimo".
- Great_circle label "Círculo máximo".
- Great_circle label "Gran círculo".
- Great_circle label "Grand cercle".
- Great_circle label "Great circle".
- Great_circle label "Grootcirkel".
- Great_circle label "Großkreis".
- Great_circle label "Koło wielkie".
- Great_circle label "Большой круг".
- Great_circle label "دائرة عظمى".
- Great_circle label "大圆".
- Great_circle label "大圏コース".
- Great_circle sameAs Großkreis.
- Great_circle sameAs Gran_círculo.
- Great_circle sameAs Grand_cercle.
- Great_circle sameAs Lingkaran_besar.
- Great_circle sameAs Cerchio_massimo.
- Great_circle sameAs 大圏コース.
- Great_circle sameAs 대원.
- Great_circle sameAs Grootcirkel.
- Great_circle sameAs Koło_wielkie.
- Great_circle sameAs Círculo_máximo.
- Great_circle sameAs m.0cwv_.
- Great_circle sameAs Q146657.
- Great_circle sameAs Q146657.
- Great_circle wasDerivedFrom Great_circle?oldid=596050961.
- Great_circle depiction Great_circle_hemispheres.png.
- Great_circle isPrimaryTopicOf Great_circle.
