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How to construct a circle tangent to a given circle at the near side,
from a center inside that circle?
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| 1. |
| Start with the given circle, and determine the center of the tangent circle (inside the given circle).
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| 2. |
| Draw the connecting line between the center of circle 1 and the given point (the center of the tangent circle to be constructed).
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| 3. |
| Extend line 2 up to the near side of circle 1.
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| 4. |
| Construct a circle centered at the given point (1), passing through the intersection of line 3 and circle 1.
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| 5. |
| Circle 4 is the circle to be constructed. It has the given point as its center and is tangent to the given circle at the near side.
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