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Convergence articles

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The Sagacity of Circles: A History of the Isoperimetric Problem

A summary of the history of the problem of finding the region of greatest area bounded by a given perimeter. This essay was a winner of the HOM SIGMAA student essay contest in 2006.

Learning Geometry in Georgian England

The copybooks of two young men reveal very different purposes in learning geometry.

Square

The square of a certain number multiplied by itself and by 200 is 446,976. What is the number?

The Mayan and Other Ancient Calendars

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

Math and the Mona Lisa
The authors makes the case for Leonardo da Vinci as the first modern scientist, as he discussed Leonardo's mathematics and science.
The Square and the Cube

A number is required; that the square shall be equal to twice the cube.

Van Schooten's Ruler Constructions

A translation of and commentary on Frans van Schooten's work on constructions using only a straightedge. Van Schooten's postulates for use of the straightedge, however, allow the copying of one line segment onto another.

Heron's Formula

Heron of Alexandria (c. 10 - 75 CE) wrote on many aspects of applied mathematics.

Triangular Numbers

What is the sum of the reciprocals of the triangular numbers?

A Horse in London

A man hired a horse in London at 3 pence a mile. He rode 94 miles due west to Bristol then due north to Chester, whence he returned toward London for 66 miles, which put him in Coventry.

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