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Convergence articles

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Mathematics is often referred to today as the "science of patterns." But has this always been true historically, or is this something that happened in recent times? The question is discussed here with reference to the work of Euclid and Jacob Steiner.
A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?
A history of attempts to develop formulas expressing the sums of powers of the first n positive integers from the Pythagoreans to Jakob Bernoulli. With exercises.
A number is required; that the square shall be equal to twice the cube.
Given four integers where if added together three at a time their sums are: 20, 22, 24, and 27. What are the integers?
A five-volume set of biographies of mathematicians from ancient times to the twentieth century, aimed at secondary students.
A square circumscribed about a given circle is double in area to a square inscribed in the same circle. True of false? Prove your answer.
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?
The king of France entered into a battle and was defeated. How many soldiers did he have before he was defeated?
As for a square piece of land that amounts to 100 square cubits, if it is said to you, "Cause it to make a piece of land that amounts to 100 square cubits that is round," what is the required diameter?