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Convergence articles

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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
A new collection of original source materials in the mathematics of five civilizations.
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods.
A seminar of faculty from colleges and universities in the Philadelphia area, meeting monthly at Villanova University.
A merchant woman buys and sells apples and pears for Denaros. How much did she invest in apples; how much in pears?
A man hired a horse in London at 3 pence a mile. He rode 94 miles due West to Bristol then due north to Chester, whence he returned toward London for 66 miles, which put him in Coventry.

An excellent and careful study of matrix methods for solving systems of linear equations in first century China.

Two ants are 100 paces apart, crawling back and forth along the same path. The first goes 1/3 pace forward a day and returns 1/4 pace; the other goes forward 1/5 pace and returns 1/6 pace. How many days before the first ant overtakes the second?
Photo of Plimpton 322, an old Babylonian Tablet, from the Plimpton Collection at the Columbia University Library. Part of the Mathematical Treasures section of Loci: Convergence.
The sum of the two digits of a 2-digit number is 9. If 45 is subtracted from the number, the result will be expressed by the digits in reverse order. Find the number.

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