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Convergence articles

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Given a semicircle, prove that if O is the circle's center, DO=OE.

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?

The radius of a circle is 3.20 meters. Compute to within .001 square meters the areas of the inscribed and circumscribed equilateral triangles.

Three people buy timber together. One pays the merchant 5 coins, another 3 coins, and the last 2 coins.

Suppose General [George] Washington had 800 men and was supplied with provisions to last 2 months but he needed to feed his army for 5 months.

The cavity of our chimney is an upright parallelepiped, the diagonal of whose base is 60"; and the height of the lower side of the lintel above the plane of the floor is 40".

A detailed study of the cycles of the Mayan calendar, along with some other ancient calendars.

A translation from the original Greek of a manuscript on magic squares by the Byzantine scholar Manuel Moschopoulos, written about 1315

Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.

A cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall.