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Intersection Sph - Pla

Hi .

How can I build a circle between a sphere and a plane?

Thank you
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  • I don't know about Quindos, but you can check/ create the result with a little trig :
    The distance between the center of the sphere and the plane divided by the sphere radius helps calculating the angle (Angle=ASIN(dist/radius))
    The radius of the circle is given by CIRC_RAD=sphere radius* cos(angle).
    The center of the circle is given by sphere center (xyz) + distance * plane vector.

    On PC-DMIS, it would be :
    ASSIGN/V1=DOT(SPH1.XYZ-PL1.XYZ,PL1.IJK)
    ASSIGN/V2=ASIN(V1/SPH1.R)
    ASSIGN/V3=SPH1.R*COS(V2)
    ASSIGN/V4=SPH1.XYZ+V1*PL1.IJK

    Then create a generic circle with V4.XYZ as center, V3 as radius and PL1.IJK as vector.

    Intersecting the sphere and the plane gives directly the result Slight smile
Reply
  • I don't know about Quindos, but you can check/ create the result with a little trig :
    The distance between the center of the sphere and the plane divided by the sphere radius helps calculating the angle (Angle=ASIN(dist/radius))
    The radius of the circle is given by CIRC_RAD=sphere radius* cos(angle).
    The center of the circle is given by sphere center (xyz) + distance * plane vector.

    On PC-DMIS, it would be :
    ASSIGN/V1=DOT(SPH1.XYZ-PL1.XYZ,PL1.IJK)
    ASSIGN/V2=ASIN(V1/SPH1.R)
    ASSIGN/V3=SPH1.R*COS(V2)
    ASSIGN/V4=SPH1.XYZ+V1*PL1.IJK

    Then create a generic circle with V4.XYZ as center, V3 as radius and PL1.IJK as vector.

    Intersecting the sphere and the plane gives directly the result Slight smile
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