Tuesday, May 22, 2012

Tangent Circles - I

Given a circle with radius r. The circle is tangent to a line ‘a’ at point M. There is a point N on the circle. Construct a circle which is tangent to given circle at N and the line ‘a’
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  1. Nice example! I like to make my students see the connection of this problem with the construction of the incenter of a triangle. That's how we justify the step 3 in the construction. Thanks!

    1. One more thing that can be shown is every point on angle bisector is at equal distance from sides making angle.

  2. is there a way i can receive your post in my mail box..i would love to revive mathematics.

  3. You can subscribe to my blog via email.