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Convergence articles

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Circumscribed Circle

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

Buying Wood

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

A General Question

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.

Parallelepiped Chimney

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".

The Mayan and Other Ancient Calendars

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

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

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

Cat on a Hot Tin Wall

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

The Secret Life of Numbers

Short sketches on how mathematicians work and think.

Two Numbers

Find two numbers with sum 20 and when squared their sum is 208.

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