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DefineCircle

DefineCircle[p1, p2, p3]
Function calculates the center, normal and radius of the circle defined by the three spatial points p1, p2, p3. The function returns with {{Ox, Oy, Oz}, {nX, nY, nZ}, r} of the circle, where {nX, nY, nZ} is the normal vector of the plane defined by p1,p2,p3 points.
DefineCircle[p1, p2, p3]
In case of planar case, when p1,p2 and p3 points are defined with 2 dimensional lists, the function calculates the center and the radius of the circle.
  • In case of collinear points the circle can not be defined and the function returns with {{0,0,0},{0,0,1},Infinity} in spatial case or {{0,0},Infinity} in planar case.
EXAMPLESCLOSE ALL
Basic Examples   (1)
Load LinkageDesigner package
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Define three planar points
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Calculate the center and the radius of the circle defined by P1,P2 and P3 points
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Calculate points of the circle by rotating P1 point around the normal vector anchored by the origin of the circle
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Display the center , normal of the circle and the circle defined by the three points P1,P2,P3
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