Circle as Intersection of Sphere and Plane
A circle in 3D can be obtained as the intersection of:
$$|\vec r-\vec c|^2=R^2$$
and:
$$\vec n\cdot(\vec r-\vec p)=0$$
Usage
- Used to describe a circle as the common section of a sphere and a plane.
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CAT Formulas
Three Dimensional Geometry
Circle as Intersection of Sphere and Plane
Circle as Intersection of Sphere and Plane
A circle in 3D can be obtained as the intersection of:
$$|\vec r-\vec c|^2=R^2$$
and:
$$\vec n\cdot(\vec r-\vec p)=0$$
Usage
- Used to describe a circle as the common section of a sphere and a plane.
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