Ruler and Compass Construction
Circle of Given Radius Tangent to Two Given Circles

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1. Arbitrary point E on first circle
2. Ray CE
3. Point G on ray CE so EG=AB
4. Circle centered at C, through G
5. Arbitrary point F on second circle
6. Ray DF
7. Point H on ray DF so FH = AB
8. Circle centered at D, through H
9. Centers I,J of the tangent circles
10. Tangent circle centered at I of radius AB