Eccentricity - Math is Fun

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varies from being circular. A circle has an eccentricity of zero, so the eccentricity shows you how "un-circular" the curve is. Bigger eccentricities are less ... Eccentricity Eccentricity:howmuchaconicsection(acircle,ellipse,parabolaorhyperbola) variesfrombeingcircular. Acirclehasaneccentricityofzero,sotheeccentricityshowsyouhow"un-circular"thecurveis.Biggereccentricitiesarelesscurved. Different values ofeccentricitymakedifferentcurves: Ateccentricity=0wegetacircle for01wegetahyperbola forinfiniteeccentricitywegetaline Eccentricityisoftenshownasthelettere(don'tconfusethiswithEuler'snumber"e",theyaretotallydifferent) Animation Trytheslidertoseewhathappens: images/eccentricity-graph.js CalculatingTheValue Foracircle,eccentricityis0 Foranellipse,eccentricityis: √a2−b2a Foraparabola,eccentricityis1 Forahyperbola,eccentricityis: √a2+b2a   ConicSections GeometryIndex Copyright©2021MathsIsFun.com



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