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Problems from Another Time

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

Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A certain man had in his trade four weights with which he could weigh integral pounds from one up to 40. How many pounds was each weight?
Curve sketching, tangent lines, and optimization, explored via interactive applets
Given a semicircle, Prove that if O is the circle's center, DO=OE.
One hundred men besieged in a castle, have sufficient food to allow each one bread to the weight of 14 lot a day for ten months.
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.
A merchant woman buys and sells apples and pears for Denaros. How much did she invest in apples; how much in pears?
What is the value of X...
On a day in spring a boy has gathered cherry blossoms under a cherry tree. Nearby a poet is reading some of his poems aloud. As he reads, the boy counts out the cherry blossoms, one blossom for each word of a poem.
Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.

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