A tangent line to a circle is a line that intersects the circle at exactly one point. (It appears to brush the edge of a circle). A point of tangency is the point where a tangent line intersects with a circle. Common external tangents do not intersect the segment that has its endpoints on the centers of the two circles. Common internal tangents intersect the segment that has its endpoints on the centers of the two circles. The dotted line represents the line segment that has its endpoints on the centers of the sun and the moon.
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