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Two men have a certain amount of money. The first says to the second, "If you give me 5 denari, I will have 7 times what you have left."
The annual meeting of the NCTM always contains sessions dealing with the history of mathematics and its use in teaching.
What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?
Page 9, Images from Paul Halmos Photograph Collection: Burkholder, Butzer, Calderon, Chern, et al
The Arithmetic of Boethius (480-524) dates from the early sixth century. This page is from a mansucript (Plimpton MS 165) that dates from approximately 1294, written on vellum.
Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.
A man and his wife drink a barrel of wine at different rates. Find the rate it takes both of them together to drink the wine.
This 1989 revision of the 1969 NCTM yearbook still provides wonderful suggestions for using the history of mathematics in the classroom.
In Archimedes' Book of Lemmas (ca 250), he introduces a figure that, due to its shape, has historically been known as "the shoemaker's knife" or arbelos.
The dimensions of a rectangular box in inches are expressed by three consecutive numbers. The surface of the box is 292 square inches. Find the dimensions.

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