Unizor - Geometry2D - Circles - Construction 8
Channel: Zor Shekhtman on UNIZOR Education
Date: 2012-01-28

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1. Construct a quadrangle by two diagonals, two sides with a common vertex and an angle formed by two other sides.
2. Given three points on a plane. Construct a line that contains the first, point such that the distance between perpendiculars to it from two other points equals to a given segment.
3. Inscribe a triangle with two given angles into a given circle.
4. Circumscribe a triangle with two given angles around a given circle.
5. Construct a triangle by a radius of its circumscribing circle, an angle and an altitude from the vertex of this angle.
6. Inscribe into a given circle a triangle with given sum of its two sides and an angle opposite to one of these sides.
7. Inscribe into a given circle a quadrangle with known side and two angles opposite to this side.
8. Inscribe a circle into a given rhombus.
9. Inscribe three circles in a given equilateral triangle such that each circle is tangent to two other circles and two sides of a triangle.