Assignment 7

by

Shridevi kotta

This write up explores different cases of
constructing tangent circle to given two circles, small circle and a big
circle, through a given point of tangency being on one of the two given circles.
It also explores the locus of the center of the tangent circle for different
scenarios with the two given circles intersecting, or small circle contained
inside the big circle or the small circle outside the big circle not touching
it.

Consider the case of given two circles, and the
point of tangency (P) is on the big circle. Click
here for the GSP file. And click the animation button to explore the case,
locus of the center of tangent circle when the small circle is out,
intersecting or in the big circle. The green circles are the given circles and
the blue is the tangent circle.

Click on the top animation button that says
ÒPosition of small circleÓ to create different positions for small circle. Stop
animation when the small circle is brought to the desired position. Click on
the bottom animation button to trace the locus of the center of tangent circle
for this case.

Click here for GSP
file with point of tangency on the smaller circle. In this case there could be
two tangent circles, an inner and outer to the small circle. Again you could
use the button Òposition the small circleÓ to let the small circle intersect or
be disjoint or contained within the big circle. And then trace the loci of the
centers of the tangent circles.