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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

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
Determine a number having remainders 2, 3, 2 when divided by 3, 5, 7 respectively.
Of a collection of mango fruits, the king took 1/6; the queen 1/5 the remainder, and the three princes took 1/4, 1/3 and 1/2 (of the same remainder); and the youngest child took the remaining 3 mangoes.
A merchant woman buys and sells apples and pears for Denaros. How much did she invest in apples; how much in pears?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...
Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A powerful, unvanquished, excellent black snake, 80 angulas in length, enters into a hole at the rate of 7 1/2 angulas in 5/14 of a day, and in the course of a day its tail grows 11/4 of an angula.
In a circle whose circumference is 60 units, a chord is drawn forming a segment whose sagitta is 2 units. What is the length of the chord?

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