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Problems from Another Time

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

Euclid's Algorithm for the Greatest Common Divisor
Project to help discrete mathematics and computer science students learn basic properties of division and the Euclidean algorithm and its proof from Euclid himself
Sums of Powers in Discrete Mathematics: Archimedes Sums Squares in the Sand
A project to help students learn from Archimedes' writings how he summed squares
Deduction through the Ages: A History of Truth
A project to introduce students to logic and especially implication by consulting original sources from ancient to modern times
Primary Historical Sources in the Classroom: Discrete Mathematics and Computer Science
A collection of modules for teaching and learning by 'reading the masters'
Inscribed Circle and Trapezoid
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.
Cat on a Hot Tin Wall
A cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall.
'He Advanced Him 200 Lambs of Gold': The Pamiers Manuscript - Currency Exchange
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Three Piles of Rice
Now a pile of rice is against a wall with a base circumference 60 chi and an altitude of 12 chi.
Horses to Qi
Now a good horse and an inferior horse set out from Chang'an to Qi. Qi is 3000 li from Chang'an.
Beyond the Call of Duty
Given a guest on horseback rides 300 li in a day. The guest leaves his clothes behind. The host discovers them after 1/3 day, and he starts out with the clothes.

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