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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?
Relationships between Architecture and Mathematics
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?
An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...
A dramatization, in two Acts, of the struggles of European mathematicians of the seventeenth and eighteenth centuries to come to terms with the newly admitted negative numbers.

A math history class visits the 'Beautiful Science' exhibit at the Huntington Library in Southern California.

Of the two water reeds, the one grows 3 feet and the other 1 foot on the first day. The growth of the first becomes every day half of that of the preceding day, while the other grows twice as much as on the day before.
Find the greatest value of y in the equation a4 x2= (x2 + y2)3.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.

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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