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An Angle Equal to 3 Times Another
Posted:
Apr 13, 1993 12:04 PM


Here is an interesting geometric puzzle:
In a Cartesian coordinate system, there are two points A and B on the Xaxis. Find a point C on the Yaxis such that angle OAC equals 3 times angle OBC, where O is the origin of the coordinate system. (Suppose you have only a pair of compasses and a ruler without graduation.)
Y        O**> X A B
Note that if you know how to trisect an arbitrary angle with a pair of compasses and a GRADUATED ruler, it may or may not help you solve the above problem.
TZ



