Circles and Arcs

   C1   Construct a circle passing through three noncollinear points
   C2   Construct a cricle with a given segment as radius and passing through two given points
   C3   Construct the center of a given arc
   C4   Construct the midpoint of a given arc
   C5   Construct the tagent to a circle through a given point on the circle
   C6   Construct the tagents to a circle through a given point not on the circle
   C7   Construct the external tangents to two given circles
   C8   Construct the internal tangents to two given circles
   C9   Upon a given line segment as a chord, construct an arc of a circle in which a given angle can be inscribed
   C10   Construct the Apollonius circle