Introduction

An ellipse is a curve that is the locus of all points in the plane the sum of whose distances r_1 and r_2 from two fixed points F_1 and F_2 (the foci) separated by a distance of 2c is a given positive constant 2a (Hilbert and Cohn-Vossen 1999, p. 2).


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Ellipse Formulas Calculator

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Introduction

An ellipse is a curve that is the locus of all points in the plane the sum of whose distances r_1 and r_2 from two fixed points F_1 and F_2 (the foci) separated by a distance of 2c is a given positive constant 2a (Hilbert and Cohn-Vossen 1999, p. 2).

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Description

An ellipse is a curve that is the locus of all points in the plane the sum of whose distances r_1 and r_2 from two fixed points F_1 and F_2 (the foci) separated by a distance of 2c is a given positive constant 2a (Hilbert and Cohn-Vossen 1999, p. 2).


A, Symbol for Area;
a, The length of semi-major axis;
b, The length of semi-minor axis;


tool-img
Figure - 25.1

Area



A=πab






Output


The distance from the center to a focus(c)



c=a2-b2






Output


Ellipse The Given Point Test



(x-x0)2a2+(y-y0)2b2=1














Output


References

Figure - 25.1 http://xahlee.info/SpecialPlaneCurves_dir/Ellipse_dir/ellipse.png