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Convergence articles

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One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...
Three circles of varying radius are mutually tangent. The area of the triangle connecting their centers is given. Find the radius of the third circle.
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. Appendix: When Was Fermat Born? (Not in 1601 ...)
If in a circle ABDC, circumscribe an equilateral triangle ABC; the straight line AD is equal to the sum of the two straight lines BD and DC: required a demonstration.
There is a round town 8000 feet in circumference.
Given the cats eye as shown. Let the radius of the eye be given by R. What is the area of the pupil?
A translation from the original Greek of a manuscript on magic squares by the Byzantine scholar Manuel Moschopoulos, written about 1315
A cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall;
Given four integers where if added together three at a time their sums are: 20, 22, 24, and 27. What are the integers?
A collection of articles dealing with mathematical models and objects and how they can be used in teaching.

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