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Last 2. Two circles and in contact uae with each other (in). An exposed wire in straight lines cut in the wire and the second point of contact with the Call Center and is inscribed circle of the triangle and respectively. Prove that
4. Post a larger integer. Set of all the diagonals uae of -giac be partitioned into sets, so that, for each pair of indices distinction and a diagonal of a diagonal cut in Find the maximum value of the follow.
Lesson 6. The top of the wedge and two located on a circle. Nine-point circle of a triangle passing either the midpoint of the two remaining sides of the triangle. Prove that two triangles share Euler circle.
10. Let's all a circle and a point outside it. Any two lines and cut through the circle at points, respectively, so that lies between and, between and. Prove that the line goes through uae the center of the circumscribed circle of triangle and two passes through a fixed point.
18. For all positive integers, consider a triangular table with the elements, here running from to and from to run. The elements of the table by either, and, with each and every, if using, and in the remaining cases. Called the set of binary sequence length, determined by mapping. Find the number of fixed points.
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