### Ruler and Compass Construction 35 Circle Tangent to the Inside of an Angle and Tangent to a Given Circle

 Reset 1. Circle centered at M, same radius 2. Perpendiculars to MN, MP through M 3. Perpendiculars to MB through B, and to Mc through c 4. Perpedicular to AB through D 5. Circle centered at A, radius DE 6. Perpendicular to AB through F 7. Angle bisector 8. Circle centered at E, radius FG 9. Segment AD 10. Perpendicular to AD at D 11. Circle centered at A, through H 12. Circle centered at H, radius DI 13. Perpendicular to AB at J 11. Circle centered at K, through D Explanation of the construction: I first construct a displaced angle BAC, so that the desired tangent circle has the same center as the tangent circle to angle BAC and point D, so I can then use construction 34 to find the center of that circle. Back to constructions page Next construction: 36 Line Points Circle Previous construction: 34 Circle tangent to angle and point on bisector
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