Separating Axis Theorem
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Separating Axis Theorem

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. For objects lying in a plane (2-dimensional space), the separating axis theorem states that, given two convex shapes, there exists a line onto which their projections will be separate if and only if they are not intersecting. A line for which the objects have disjoint projections is called a separating axis. An equivalent way of stating the theorem is to say that two convex shapes in the plane are not intersecting if and only if a line can be placed with one shape to ...