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Construct the two tangent through a point on the circle, with compass and straightedge
(For assistance see www.mathopenref.com/consttangent.html)
1. Construct the tangent to the circle below at the point shown.
2. Construct the tangent to the arc below at the point shown. (Hint: construct the center point first).
For assistance, see http://www.constcirclecenter.html - "Finding the center of a circle with compass and straightedge"