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Convergence articles

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When Nine Points Are Worth But Eight: Euler's Resolution of Cramer's Paradox

How Euler resolved the paradox first noted by Maclaurin that nine points should determine a curve of order three, yet two such curves can intersect in nine points

Walk Around the World

Suppose a person whose height is 5 feet 7 inches travels 10000 miles in the arc of a great circle. How much further will the person's head have gone compared to their feet, the circumference of the Earth being 21600 miles?

Lilavati of Bhaskara
Two pages from a 1650 manuscript of the Lilavati of Bhaskara II (1114-1185). The second photo is an illustration of the Pythagorean Theorem.
Historical Topics for the Mathematics Classroom
This 1989 revision of the 1969 NCTM yearbook still provides wonderful suggestions for using the history of mathematics in the classroom.
How Euler Did It

A collection of short pieces detailing how Euler solved a particular mathematics problem.

ABOUT Website on History of Mathematics
A section of a much larger website, dealing with some random topics in the history of mathematics.
Greenleaf: Triangle Problem

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.

Georg Cantor at the Dawn of Point-Set Topology
Cantor's work on Fourier series provides historical motivation for the study of point-set topology.
Gauss: Titan of Science

Reprint of a classic biography of Gauss, with a new forward by Jeremy Gray.

The Grounde of Artes by Robert Recorde
Page from the table of contents of Robert Recorde's The Grounde of Artes (1543) in which is outlined the first dialogue. This dialogue deals with some of the elements of arithmetic, including the basic operations and the use of the rule of three (or the Golden rule).

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