1. Draw a circle about point P with radius r. Gauge equal distance about P by eye.

2. Lightly extend the radius of the given arc. Add the given radius to the radius of the arc.  

3. Draw a circle with C as the centre through point 1 and intersecting the circle about P at x. The intersection x is the centre of the required arc.

4. Draw a circle about x as the centre touching the given arc and going through the point P.

5. Darken in the required arc. 

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