Tiffany N. KeysŐ Assignment 7:

Tangent
Circles

Given two circles and a point on one of the
circles. Construct a circle tangent to the two circles with one point of
tangency being the designated point.

Step
1: Construct one large circle with
the center A.

Construct
a smaller circle inside the larger circle with the center B.

Step
2: Create an arbitrary point on each
circle, labeled C and D

Step
3: Construct a line segment from
point B to point D to be used for the radius of a circle with center D.

Create a
line that goes through points A and C.

Step
4: Use the line segment BD to create
a like circle with center C

Step
4: Label a point, E, that lies on
the newly constructed circle and also on the new line.

Step
6: Construct a line segment from
point B to point E with the midpoint F.

Step
7: Construct a line perpendicular to
segment BE that passes through point F and passes through line AD
at newly labeled point, G

Step
8: Create a circle with a radius
equal to the length of GC, which creates a circle that is tangent to the two
other circles.