Some observations can be made about circles c1, c2, and c3. The first observation is that they are disjoint, this means that the circles do not contain the same center. In fact c1 and c2 were created arbitrarily with the only condition being that the centers were not common.
You may have noticed that the circles were also tangent. This means that they intersect at only ONE point. Point B is the point of tangency for c1 and c3. Point A is the point of tangency for c2 and c3. With this point brought out, it is also important to note that c3 is tangent to both c1 and c2.
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