This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

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Found problems: 3

1937 Moscow Mathematical Olympiad, 035
Tags: circle construction , circles , geometric construction , geometry
Given three points that are not on the same straight line. Three circles pass through each pair of the points so that the tangents to the circles at their intersection points are perpendicular to each other. Construct the circles.

1940 Moscow Mathematical Olympiad, 057
Tags: circle construction , tangent , geometric construction , geometry , tangent circle
Draw a circle that has a given radius $R$ and is tangent to a given line and a given circle. How many solutions does this problem have?

1940 Moscow Mathematical Olympiad, 060
Tags: geometry , equidistant , circle construction , geometric construction
Construct a circle equidistant from four points on a plane. How many solutions are there?