Line and Sphere Intersection
You can create a point at each intersection between a line and a sphere. Much like the line circle intersection this command will build two points resulting from the intersection as long as the line passes through the sphere's radius.
To Create a Point at the Intersection of a Line and Sphere:
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From the menu, select Construct>New Points> Intersection>Line and Sphere Intersection.
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Select the line, then the sphere. A naming dialog appears.
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Specify the desired collection, group, and point names (or select an existing collection and group from the dropdown).
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Click OK to create the point.