Tangent Circles

Assignment Seven


 
Problem: Given two circles and a point on one of the circles, construct a circle tangent to the other circles with one point of tangency being the designated point.


 

Here is a link to the construction below.

Tangent Circle

If you click on the show script view under custom tools on the tool bar, you can do the construction I built yourself.  Also, there are two animate buttons on the construction.  Why is it when point C is moved nothing happens?  But when when point D is moved, something happens.  What happens to the new circle we constructed?  Notice the trace of the center of the new circle.  What shape is formed?  Could you make this construction from scratch by yourself after studying mine?  Write a one page paper or less on the construction.  We will discuss the answers to the questions mentioned earlier in class.

 

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