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Convergence articles

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Dynamic geometry software is used to demonstrate early Greek attempts at the trisection of an angle and the squaring of a circle.
In a given square, inscribe 4 equal circles so that...
A highly recommended new book on the history and applications of pi.
Find the isoceles triangle of smallest area that circumscribes a circle of radius 1.
A castle has n rooms each of which has 7 samurai in it.
A method for extracting square roots used in Italy through the 18th century was introduced in a manuscript by the 12th century mathematician al-Hassar.
A historically minded textbook designed to teach real analysis by considering some of the problems faced by 19th century mathematicians.
Chuquet claimed that if given positive numbers a, b, c, d then (a + b) / (c + d) lies between a/c and b/d. Is he correct? Prove your answer
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.

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