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Intersection of two solids

Find the intersection of a cylinder A and a cylinder B, resting on the PH, with centres A(11, 6) and B(18.2, 6).

Step-by-step solution

1. Clip one solid by the planes of the faces of the other.
2. The intersection line is the edges separating a face of A from a face of B.
3. Check whether the solids touch only on a face, an edge or a vertex.
4. If they do not touch, there is no intersection.

Result: common volume 10.32 u³; intersection line with 12 edges.

Two convex solids cut each other in a convex body; the intersection line is the border between the faces of each one.

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