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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?
A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received $150 for them. How many did he buy?
Two travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.
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.
Find two number with sum 20 and when squared their sum is 208.
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.

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

If an equilateral triangle whose area is equal to 10,000 square feet be surrounded by a walk of uniform width, and equal to the area of the inscribed circle, what is the width of the walk?
Two pages from a 1650 manuscript of the Lilavati of Bhaskara II (1114-1185). The second photo is an illustration of the Pythagorean Theorem.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.