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Convergence articles

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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?
Page from the table of contents of Robert Recorde's The Grounde of Artes (1543) in which is outlined the first dialogue. This dialogue deals with some of the elements of arithmetic, including the basic operations and the use of the rule of three (or the Golden rule).
Two bicyclists travel in opposite directions around a quarter-mile track and meet every 22 seconds. When they travel in the same direction on this track, the faster passes the slower once every 3 minutes and 40 seconds. Find the rate of each rider
Given four integers where if added together three at a time their sums are: 20, 22, 24, and 27. What are the integers?
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
A square circumscribed about a given circle is double in area to a square inscribed in the same circle. True of false? Prove your answer.
Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.
Images from a 16th century text about the astrolabe and its uses
This 1989 revision of the 1969 NCTM yearbook still provides wonderful suggestions for using the history of mathematics in the classroom.
A new sourcebook containing the works in their original form along with a translation and a brief commentary.

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