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Convergence articles

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These are the winning entries from the annual History of Mathematics SIGMAA Student Paper Contest.
We sadly announce the untimely death of one of Convergence's editorial board members.
Given right triangle ABC where C is the right angle, ellipse O (a,b) is inscribed in it, with its major axis parallel to BC. Calculate the semi-major axis, a, in terms of AC, BC and b.
A man died leaving 3 sons, to whom he bequeathed his estate in the following manner: to the eldest he gave 184 dollars; to the second 155 dollars and to the third 96 dollars;
A translation of part of a thirteenth century work by the Byzantine monk Maximus Planudes on the Hindu-Arabic numerals and the algorithms for calculation.
A collection of biographies of sixty mathematicians from the eighteenth century to the twentieth.
Circular Images
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.
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
The symposium this year will discuss Gauss's Disquisitiones Arithmeticae.