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The two-point equidistant projection or doubly equidistant projection is a map projection first described by Hans Maurer in 1919 and Charles Close in 1921. It is a generalization of the much simpler azimuthal equidistant projection. In this two-point form, two locus points are chosen by the mapmaker to configure the projection. Distances from the two loci to any other point on the map are correct: that is, they scale to the distances of the same points on the sphere. The projection can be generalized to an ellipsoid of revolution by using geodesic distance.

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  • Tweepunts-equidistante projectie (nl)
  • Two-point equidistant projection (en)
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  • The two-point equidistant projection or doubly equidistant projection is a map projection first described by Hans Maurer in 1919 and Charles Close in 1921. It is a generalization of the much simpler azimuthal equidistant projection. In this two-point form, two locus points are chosen by the mapmaker to configure the projection. Distances from the two loci to any other point on the map are correct: that is, they scale to the distances of the same points on the sphere. The projection can be generalized to an ellipsoid of revolution by using geodesic distance. (en)
  • De tweepunts-equidistante projectie of elliptische projectie van Donald is een kaartprojectie waarbij de afstand van elk van twee van tevoren gekozen punten tot elk ander punt op de kaart een vaste verhouding heeft tot de kortste afstand over het boloppervlak (langs grote cirkels dus). De projectie werd voor het eerst beschreven door de Duitse wetenschapper in 1919. Als de twee punten samenvallen ontstaat de equidistante azimutale projectie. (nl)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Two-point_Equidistant_with_Tissot's_Indicatrices_of_Distortion.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Two-point_equidistant_projection_SW.jpg
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  • The two-point equidistant projection or doubly equidistant projection is a map projection first described by Hans Maurer in 1919 and Charles Close in 1921. It is a generalization of the much simpler azimuthal equidistant projection. In this two-point form, two locus points are chosen by the mapmaker to configure the projection. Distances from the two loci to any other point on the map are correct: that is, they scale to the distances of the same points on the sphere. The two-point equidistant projection maps a family of confocal spherical conics onto two families of planar ellipses and hyperbolas. The projection has been used for all maps of the Asian continent by the National Geographic Society atlases since 1959, though its purpose in that case was to reduce distortion throughout Asia rather than to measure from the two loci. The projection sometimes appears in maps of air routes. The Chamberlin trimetric projection is a logical extension of the two-point idea to three points, but the three-point case only yields a sort of minimum error for distances from the three loci, rather than yielding correct distances. Tobler extended this idea to arbitrarily large number of loci by using automated root-mean-square minimization techniques rather than using closed-form formulae. The projection can be generalized to an ellipsoid of revolution by using geodesic distance. (en)
  • De tweepunts-equidistante projectie of elliptische projectie van Donald is een kaartprojectie waarbij de afstand van elk van twee van tevoren gekozen punten tot elk ander punt op de kaart een vaste verhouding heeft tot de kortste afstand over het boloppervlak (langs grote cirkels dus). De projectie werd voor het eerst beschreven door de Duitse wetenschapper in 1919. De constructie is als volgt: eerst worden twee referentiepunten gekozen van waaruit de kaart afstandsgetrouw moet zijn; daarna wordt van elk punt op de bol de afstand tot elk van die twee referentiepunten bepaald; op de kaart wordt één snijpunt van de cirkels met als straal de gevonden afstanden gekozen als beeldpunt (het andere snijpunt ligt op het andere halfrond). Als de twee punten samenvallen ontstaat de equidistante azimutale projectie. (nl)
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