# Convergence articles

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A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received$150 for them. How many did he buy?
This is the title page of the Treatise of Algebra (1685), by John Wallis. This is probably the first attempt at a history of the subject of algebra, presented in the context of a text on the subject. Among the most famous parts of this treatise is Wallis's discussion of the work of Thomas Harriot, especially his contention that Rene Descartes plagiarized Harriot's symbolization procedure in algebra.
This article contains examples of the use of the rule of false position in the solution of geometric problems as found in the work of Simon Stevin. We discuss the benefits for future teachers and their students.
Of the two water reeds, the one grows 3 feet and the other 1 foot on the first day. The growth of the first becomes every day half of that of the preceding day, while the other grows twice as much as on the day before.
Two travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.
The Fibonacci numbers and applications to areas such as plant growth and stock market predictions.
Archimedes' use of the law of the lever to compute areas and volumes in The Method is discussed. Classroom ready examples are presented.

Images of the first printed edition of Euclid's Elements

Three men wish to buy a horse but none have a sufficient amount of money for the purchase; to do so they must borrow from each other. How much money does each man have and what is the price of the horse?
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.