Unizor - Geometry2D - Circles - Construction 4
Channel: Zor Shekhtman on UNIZOR Education
Date: 11/01/2012

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1. Construct a circle that contains a given point and is tangent to a given straight line at a given point.
2. Construct a circle tangential to both legs of a given angle, if one point of tangency on one of the legs is given.
3. Given two straight lines parallel to each other and a point between them. Construct a circle tangential to both lines and containg a given point.
4. Construct a tangent to a given circle such that it forms a given angle with a given straight line.
Note: Research multiple solutions.
5. Given a circle and a point outside it. Construct a secant from this point to a circle such that a chord formed by it was congruent to a given segment.
6. Construct a circle of a given radius tangential to a given straight line and containing a given point.
7. Given a circle and a straight line outside it. Find a point on a line such that a tangent from it to a circle has a given length.
8. Construct a triangle by its angle, an altitude from the vertex of this angle and another altitude from another vertex.
9. Given two points. Construct a straight line such that perpendiculars to this line from given equal to two given segments.
10. Construct a circle tangent to a given circle at a given point and containing another given point on a plane.