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Convergence articles

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In a square box that contains 1000 marbles, how many will it take to reach across the bottom of the box in a straight row?
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.

The "rood", a linear measure dating from many centuries ago, is calculated anew in today's classrooms.

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. How many did he have?
A study of Victorian idealism and its relation to religion, as exemplified in the work of three 19th century British mathematicians.
Problems taken from Chinese sources
This is the title page of the Summa de arithmetica, geometrica, proportioni et proportionalita, published by Luca Pacioli in 1494. This was the most comprehensive mathematical text of the time and one of the earliest printed mathematical works. It contained not only practical arithmetic, but also algebra, practical geometry and the first published treatment of double-entry bookkeeping.
A general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.

Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.

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