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Convergence articles

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A merchant gave a university 2,814 ducats on the understanding that he was to be paid back 618 ducats per year for 9 years, at the end of which the 2,814 ducats should be considered as paid.
This is an invited working conference as part of the ICMI Study Series.
Dynamic geometry software is used to demonstrate early Greek attempts at the trisection of an angle and the squaring of a circle.

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

A highly recommended new book on the history and applications of pi.
There is a lion in a well whose depth is 50 palms. He climbs and slips back a certain amount each day. In how many days will he get out of the well?
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.
The latest HPM Newsletter is now available here. Read it!
One says that 10 garments were purchased by two men at a price of 72 dirhams. The garments varied in value. The price of each garment of one man is 3 dirhams more than the price for each garment of the other. How many garments did each man buy?

An elementary introduction to Euler squares and how they can be used in teacher training

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