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C # is elliptical known points above points several ellipse can be determined

Time:09-16

Several points can be determined ellipse, these points are the points on the ellipse have a c # code

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Posted on the elliptic equations,

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Elliptic equations x ^ 2/a ^ 2 + y ^ 2/b ^ 2=1

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According to the several points to determine elliptic equations are you?
Or elliptic equations to determine whether a point on the ellipse known?

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My hand has an oval disc, but also know the disk all the above points (is that the points on the border, how the oval disc with GDI drawing program,

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2 yuan two equations, should confirm the ellipse is four points?

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If you are sure is drawing must be an ellipse, two points,
Specific visible Windows inside of "painting",,

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By the elliptic equations: x ^ 2/a ^ 2 + y ^ 2/b ^ 2=1
Needs in the equation of the parameters a and b, so just find out two points on the ellipse in elliptic equations can calculate a and b

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Is to determine a ^ 2 and b ^ 2 value, two points is enough, the c # code is not, but should be very well written, binary equation at a time

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Radius of a circle, as long as know and can determine the circle center position and radius need a parameter, the circle position requires two parameters, said a total of three independent parameters, so generally three round focal point; For an ellipse, as long as know the location of the two focal points and one and a half shaft, can determine the ellipse, the position of the two focal points need four parameters, said half shaft long need a parameter, so a total of five separate parameters, so the five focal ellipse in the general case,

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You only need to (a, 0) and (0, b), the coordinates of the two points which is the focus of the y axis and b, a is a point on the x axis, how to draw an oval, elliptical is round on the y axis compression into

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refer to fifth floor interacting in a professional developer response:
2 yuan two equations, should confirm the ellipse is four points?


five

CodePudding user response:

The general equation of circle is cx + x ^ 2 + y ^ 2 + dy + f=0
Three points three unknowns, so make sure
Ellipse is the general equation of ax ^ 2 + by cx + dy ^ 2 + + exy + f=0
Look there are six unknowns
But both sides are divided by a
Is the only five
So you need to 5 points

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An ellipse can use focal point, line, the only sure, eccentricity focus two, line two, a centrifugal rate
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