The position of the specific point of center of mass is the point at which the object could be modeled to have all of its mass acting for all intensive purposes.
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It will always lie on a diameter.
If the point's ordinate, or y-coordinate, is zero then it must lie on the x-axis somewhere.
Since it is possible to draw a line through any two points, if there is a point that does not lie on the same line, it must be a third point.
It is a Geometry Theorem. "A line and a point not on the line lie in exactly one place" means what it says.
non-coplanar points are points that does not lie on the same plane... by:GRAETIA VILLANUEVA...