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Convergence articles

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Problems from a 15th century French manuscript, including one with negative solutions

This is page 167 from the Exercitationes mathematicae (1657) of Frans van Schooten (1615-1660). This book contained a collection of mathematical construction problems, among much else. It was one of the books read by Isaac Newton while he was a student at Cambridge University and helped to introduce him to modern mathematics. On this page we see a construction enabling one to find the distance across a river.
A certain gentleman ordered that 90 measures of grain were to be transported from his house to another, 30 leucas distant.
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.
There are two columns in the ruins of Persepolis left standing upright; one is 70 ft. above the plane, and the other 50 ft;
A superb collection of articles by experts on various areas of the history of analysis, from the Greeks to modern times.
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.
Where does pi come from? Why should we be interested in negative numbers, or square roots of negative numbers? How did people ever figure out the quadratic formula? A truly wonderful reference for teachers at all levels.

A bibliographical reference to mathematics books printed in the new world before 1700.

A survey of this theorem's 4000 year history, with applications to many fields.