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- Ellipse abstract "In mathematics, an ellipse is a curve on a plane surrounding two focal points such that a straight line drawn from one of the focal points to any point on the curve and then back to the other focal point has the same length 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.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 orbits of planets are ellipses with the Sun 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 Ellipse2.html.
- Ellipse wikiPageExternalLink ellipsetoc.html.
- Ellipse wikiPageExternalLink watch?v=7UD8hOs-vaI.
- Ellipse wikiPageID "9277".
- Ellipse wikiPageRevisionID "605457526".
- Ellipse first "A.B.".
- Ellipse hasPhotoCollection Ellipse.
- Ellipse id "Ellipse".
- Ellipse id "Ellipse&oldid=11394".
- Ellipse id "Hypotrochoid.html".
- Ellipse last "Ivanov".
- Ellipse title "Ellipse as hypotrochoid".
- Ellipse title "Ellipse".
- Ellipse subject Category:Conic_sections.
- Ellipse subject Category:Curves.
- Ellipse subject Category:Elementary_shapes.
- Ellipse comment "In mathematics, an ellipse is a curve on a plane surrounding two focal points such that a straight line drawn from one of the focal points to any point on the curve and then back to the other focal point has the same length 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.".
- Ellipse label "Elipsa".
- Ellipse label "Elipse".
- Ellipse label "Elipse".
- Ellipse label "Ellips (wiskunde)".
- Ellipse label "Ellipse (mathématiques)".
- Ellipse label "Ellipse".
- Ellipse label "Ellipse".
- Ellipse label "Ellisse".
- Ellipse label "Эллипс".
- Ellipse label "قطع ناقص".
- Ellipse label "椭圆".
- Ellipse label "楕円".
- Ellipse sameAs Elipsa.
- Ellipse sameAs Ellipse.
- Ellipse sameAs Έλλειψη.
- Ellipse sameAs Elipse.
- Ellipse sameAs Elipse.
- Ellipse sameAs Ellipse_(mathématiques).
- Ellipse sameAs Elips.
- Ellipse sameAs Ellisse.
- Ellipse sameAs 楕円.
- Ellipse sameAs 타원.
- Ellipse sameAs Ellips_(wiskunde).
- Ellipse sameAs Elipsa.
- Ellipse sameAs Elipse.
- Ellipse sameAs m.02jll.
- Ellipse sameAs Q40112.
- Ellipse sameAs Q40112.
- Ellipse wasDerivedFrom Ellipse?oldid=605457526.
- Ellipse depiction Conicas1.PNG.
- Ellipse isPrimaryTopicOf Ellipse.
