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Convergence articles

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Given the cats eye as shown. Let the radius of the eye be given by R. What is the area of the pupil?

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?

Find two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27.

Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.

A fellow said that when he counted his nuts by twos, threes, fours, fives and sixes, there was still one left over; but when he counted them by sevens they came out even. What is the smallest number of nuts he could have?

Review of Bertram's text on the history of Greek science.

Three persons bought a sugar loaf in the form of a perfect cone 25 inches high and agreed to divide it...what was the slant height of each one's share?

The Tree of Proportions and Proportionality from the De Divina Proportione of Luca Pacioli published in 1509.
Netscape Users

A collection of articles on mathematics in Europe from the twelfth to the fifteenth century.

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