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Illustration of an xy grid/graph. It is the Cartesian coordinate system with some increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Increments Labeled By 10s

Illustration of an xy grid/graph. It is the Cartesian coordinate system with some increments from -10…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with some increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Increments Labeled By 10s And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with some…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and even increments from -10 to 10 labeled.

-10 To 10 Coordinate Grid With Axes And Even Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and even…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the x- and y-axes and even increments from -10 to 10 labeled.

-10 To 10 Coordinate Grid With Axes And Even Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with axes and some increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Axes And Increments Labeled By 10s

Illustration of an xy grid/graph. It is the Cartesian coordinate system with axes and some increments…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with axes and some increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Axes And Increments Labeled By 10s And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with axes…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and increments from -10 To 10 labeled by 5s.

-10 To 10 Coordinate Grid With Axes And Increments Labeled By 5s

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and increments…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the x- and y-axes and increments from -10 To 10 labeled by 5s.

-10 To 10 Coordinate Grid With Axes And Increments Labeled By 5s And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and some increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Axes And Some Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and some…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the x- and y-axes and some increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Axes And Some Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes labeled and increments from -10 to 10.

-10 To 10 Coordinate Grid With Axes Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes labeled…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the x- and y-axes labeled and increments from -10 to 10.

-10 To 10 Coordinate Grid With Axes Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with even increments from -10 to 10 labeled.

-10 To 10 Coordinate Grid With Even Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with even increments from -10…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with even increments from -10 to 10 labeled.

-10 To 10 Coordinate Grid With Even Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with even…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Increments And Axes Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and increments…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the x- and y-axes and increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Increments And Axes Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with increments from -10 To…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with increments…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with increments from -10 To 10 labeled by 5s.

-10 To 10 Coordinate Grid With Increments Labeled By 5s

Illustration of an xy grid/graph. It is the Cartesian coordinate system with increments from -10 To…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with increments from -10 To 10 labeled by 5s.

-10 To 10 Coordinate Grid With Increments Labeled By 5s And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with increments…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with increments from -10 To 10 on each axis. Axes and increments are not labeled.

-10 To 10 Coordinate Grid With No Labels

Illustration of an xy grid/graph. It is the Cartesian coordinate system with increments from -10 To…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with increments from -10 To 10 on each axis. Axes and increments are not labeled.

-10 To 10 Coordinate Grid With Grid Lines Shown, But No Labels

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with increments…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with some increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Some Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with some increments from -10…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with some increments from -10 To 10 labeled.

-10 To 10 Coordinate Grid With Some Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with some…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and even increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Axes And Even Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and even…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the x- and y-axes and even increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Axes And Even Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and odd increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Axes And Odd Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and odd…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the x- and y-axes and odd increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Axes And Odd Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the axes and some increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Axes And Some Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the axes and some increments…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the axes and some increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Axes And Some Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the axes and some increments…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the axes and some increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Axes And Some Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the axes and some increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Axes And Some Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes labeled and increments from -5 to 5.

-5 To 5 Coordinate Grid With Axes Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes labeled…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the x- and y-axes labeled and increments from -5 to 5.

-5 To 5 Coordinate Grid With Axes Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with even increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Even Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with even increments from -5…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with even increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Even Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with even…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with increments from -5 to 5 on each axis. Axes and increments are not labeled.

-5 To 5 Coordinate Grid With Grid Lines Shown, But No Labels

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with increments…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Increments And Axes Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with the x- and y-axes and increments…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the x- and y-axes and increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Increments And Axes Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with the…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with increments from -5 to 5…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with increments…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with increments from -5 to 5 on each axis. Axes and increments are not labeled.

-5 To 5 Coordinate Grid With No Labels

Illustration of an xy grid/graph. It is the Cartesian coordinate system with increments from -5 to 5…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with odd increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Odd Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with odd increments from -5…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with odd increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Odd Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with odd…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with some increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Some Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with some increments from -5…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with some increments at -5 to 5 labeled.

-5 To 5 Coordinate Grid With Some Increments Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with some increments at -5 to…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with some increments from -5 to 5 labeled.

-5 To 5 Coordinate Grid With Some Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with some…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with some increments at -5 to 5 labeled.

-5 To 5 Coordinate Grid With Some Increments Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with some…

Illustration of an xy grid/graph. It is the Cartesian coordinate system. Neither axis is labeled.

Blank Coordinate Grid

Illustration of an xy grid/graph. It is the Cartesian coordinate system. Neither axis is labeled.

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system. Neither axis is labeled.

Blank Coordinate Grid With Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system. Neither…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system. Neither axis is labeled.

Blank Coordinate Grid With Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system. Neither…

Illustration of an xy grid/graph. It is the Cartesian coordinate system with both axes labeled.

Coordinate Grid With Axes Labeled

Illustration of an xy grid/graph. It is the Cartesian coordinate system with both axes labeled.

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with both axes labeled.

Coordinate Grid With Axes Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with both…

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with both axes labeled.

Coordinate Grid With Axes Labeled And Grid Lines Shown

Illustration of an xy grid/graph with grid lines shown. It is the Cartesian coordinate system with both…

A Lemniscate is, in general, a curve generated by a point moving so that the product of its distances from two fixed points is the square of half the distance between the points. It is a particular case of the Cassinian oval and resembles a figure 8. When the line joining the two fixed points is the axis of x and the middle point of this line is the origin, the Cartesian equation is the fourth degree equation, (((x^2)+(y^2))^2)=2(a^2)((x^2)-(y^2)). The polar equation is (ℽ^2) = 2(a^2)cos(2θ). The locus of the feet of the perpendiculars from the center of an equilateral hyperbola to its tangents is a lemniscate. The name lemniscate is sometimes given to any crunodal symmetric quartic curve having no infinite branch. The name is also sometimes given to a general class of curves derived from other curves in the way that the above is derived from the equilateral hyperbola. With these more general definitions of the lemniscate the above curve is called the lemniscate of Bernoulli.

Lemniscate

A Lemniscate is, in general, a curve generated by a point moving so that the product of its distances…