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Topic: An Angle Equal to 3 Times Another
Replies: 1   Last Post: Apr 14, 1993 4:39 PM

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zhang@climat.geology.yale.edu

Posts: 1
Registered: 12/10/04
An Angle Equal to 3 Times Another
Posted: Apr 13, 1993 12:04 PM
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Here is an interesting geometric puzzle:

In a Cartesian coordinate system, there are two points A and B on
the X-axis. Find a point C on the Y-axis 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





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