Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Ellipse> ?p ?o }
- Ellipse abstract "In mathematics, an ellipse is a curve on a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. As such, it is a generalization of a circle, which is a special type of an ellipse that has both focal points at the same location. The shape of an ellipse (how 'elongated' it is) is represented by its eccentricity, which for an ellipse can be any number from 0 (the limiting case of a circle) to arbitrarily close to but less than 1.Ellipses are the closed type of conic section: a plane curve that results from the intersection of a cone by a plane. (See figure to the right.) Ellipses have many similarities with the other two forms of conic sections: the parabolas and the hyperbolas, both of which are open and unbounded. The cross section of a cylinder is an ellipse, unless the section is parallel to the axis of the cylinder.Analytically, an ellipse can also be defined as the set of points such that the ratio of the distance of each point on the curve from a given point (called a focus or focal point) to the distance from that same point on the curve to a given line (called the directrix) is a constant, called the eccentricity of the ellipse.Ellipses are common in physics, astronomy and engineering. For example, the orbit of each planet in the solar system is an ellipse with the barycenter of the planet-Sun pair at one of the focal points. The same is true for moons orbiting planets and all other systems having two astronomical bodies. The shape of planets and stars are often well described by ellipsoids. Ellipses also arise as images of a circle under parallel projection and the bounded cases of perspective projection, which are simply intersections of the projective cone with the plane of projection. It is also the simplest Lissajous figure, formed when the horizontal and vertical motions are sinusoids with the same frequency. A similar effect leads to elliptical polarization of light in optics.The name, ἔλλειψις (élleipsis, "omission"), was given by Apollonius of Perga in his Conics, emphasizing the connection of the curve with "application of areas".".
- Ellipse thumbnail Conicas1.PNG?width=300.
- Ellipse wikiPageExternalLink books?id=TRJLAAAAYAAJ&pg=PA50.
- Ellipse wikiPageExternalLink ellipse.pdf.
- Ellipse wikiPageExternalLink 1.
- Ellipse wikiPageExternalLink ?pa=content&sa=viewDocument&nodeId=196&bodyId=203.
- Ellipse wikiPageExternalLink ON58ARMtP65D1khWt1uwUA==.
- Ellipse wikiPageExternalLink ellipsetoc.html.
- Ellipse wikiPageID "9277".
- Ellipse wikiPageLength "56315".
- Ellipse wikiPageOutDegree "253".
- Ellipse wikiPageRevisionID "680330798".
- Ellipse wikiPageWikiLink Affine_map.
- Ellipse wikiPageWikiLink Affine_plane.
- Ellipse wikiPageWikiLink Affine_space.
- Ellipse wikiPageWikiLink Affine_transformation.
- Ellipse wikiPageWikiLink Alhambra.
- Ellipse wikiPageWikiLink Analytic_geometry.
- Ellipse wikiPageWikiLink Analytical_geometry.
- Ellipse wikiPageWikiLink Angular_eccentricity.
- Ellipse wikiPageWikiLink Angular_frequency.
- Ellipse wikiPageWikiLink Angular_speed.
- Ellipse wikiPageWikiLink Anisotropic.
- Ellipse wikiPageWikiLink Anisotropy.
- Ellipse wikiPageWikiLink Antipodal_point.
- Ellipse wikiPageWikiLink Apoapsis.
- Ellipse wikiPageWikiLink Apollonius_of_Perga.
- Ellipse wikiPageWikiLink Approximation.
- Ellipse wikiPageWikiLink Approximations.
- Ellipse wikiPageWikiLink Apsis.
- Ellipse wikiPageWikiLink Arc_length.
- Ellipse wikiPageWikiLink Area.
- Ellipse wikiPageWikiLink Arithmetic_mean.
- Ellipse wikiPageWikiLink Axis_of_rotation.
- Ellipse wikiPageWikiLink Barycenter.
- Ellipse wikiPageWikiLink Barycentric_coordinates_(astronomy).
- Ellipse wikiPageWikiLink Birefringence.
- Ellipse wikiPageWikiLink Birefringent.
- Ellipse wikiPageWikiLink Bobbin.
- Ellipse wikiPageWikiLink Bounded_set.
- Ellipse wikiPageWikiLink Bézier_curve.
- Ellipse wikiPageWikiLink Canonical_form.
- Ellipse wikiPageWikiLink Carlson_symmetric_form.
- Ellipse wikiPageWikiLink Cartesian_coordinate_system.
- Ellipse wikiPageWikiLink Cartesian_oval.
- Ellipse wikiPageWikiLink Cartesian_plane.
- Ellipse wikiPageWikiLink Category:Conic_sections.
- Ellipse wikiPageWikiLink Category:Curves.
- Ellipse wikiPageWikiLink Category:Elementary_shapes.
- Ellipse wikiPageWikiLink Chain.
- Ellipse wikiPageWikiLink Chainwheel.
- Ellipse wikiPageWikiLink Chicago.
- Ellipse wikiPageWikiLink Chord_(geometry).
- Ellipse wikiPageWikiLink Circle.
- Ellipse wikiPageWikiLink Circumconic_and_inconic.
- Ellipse wikiPageWikiLink Circumference.
- Ellipse wikiPageWikiLink Circumscribed_circle.
- Ellipse wikiPageWikiLink Closed_curve.
- Ellipse wikiPageWikiLink Composite_Bézier_curve.
- Ellipse wikiPageWikiLink Concentric.
- Ellipse wikiPageWikiLink Concentric_circle.
- Ellipse wikiPageWikiLink Cone.
- Ellipse wikiPageWikiLink Cone_(geometry).
- Ellipse wikiPageWikiLink Conic_section.
- Ellipse wikiPageWikiLink Conic_sections.
- Ellipse wikiPageWikiLink Conjugate_diameters.
- Ellipse wikiPageWikiLink Crankset.
- Ellipse wikiPageWikiLink Cross_section_(geometry).
- Ellipse wikiPageWikiLink Cupola.
- Ellipse wikiPageWikiLink Curvature.
- Ellipse wikiPageWikiLink Curve.
- Ellipse wikiPageWikiLink Curve_fitting.
- Ellipse wikiPageWikiLink Cylinder_(geometry).
- Ellipse wikiPageWikiLink Dandelin_spheres.
- Ellipse wikiPageWikiLink Definite_integral.
- Ellipse wikiPageWikiLink Degrees_of_freedom_(physics_and_chemistry).
- Ellipse wikiPageWikiLink Derivation_of_the_Cartesian_form_for_an_ellipse.
- Ellipse wikiPageWikiLink Determinant.
- Ellipse wikiPageWikiLink Dimension.
- Ellipse wikiPageWikiLink Direct2D.
- Ellipse wikiPageWikiLink Directrix_(conic_section).
- Ellipse wikiPageWikiLink Directrix_circle.
- Ellipse wikiPageWikiLink Double_factorial.
- Ellipse wikiPageWikiLink Drawing_pin.
- Ellipse wikiPageWikiLink Duality_(projective_geometry).
- Ellipse wikiPageWikiLink Eccentric_anomaly.
- Ellipse wikiPageWikiLink Eccentricity_(mathematics).
- Ellipse wikiPageWikiLink Electromagnetic_radiation.
- Ellipse wikiPageWikiLink Electronics.
- Ellipse wikiPageWikiLink Ellipse_fitting.
- Ellipse wikiPageWikiLink Ellipsoid.
- Ellipse wikiPageWikiLink Ellipsoid_method.
- Ellipse wikiPageWikiLink Ellipsoids.
- Ellipse wikiPageWikiLink Elliptic_coordinate_system.
- Ellipse wikiPageWikiLink Elliptic_coordinates.
- Ellipse wikiPageWikiLink Elliptic_function.
- Ellipse wikiPageWikiLink Elliptic_functions.
- Ellipse wikiPageWikiLink Elliptic_integral.
- Ellipse wikiPageWikiLink Elliptic_integrals.
- Ellipse wikiPageWikiLink Elliptic_orbit.