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Convergence articles

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A Disquisition on the Square Root of Three
The author compares Greek ladder, continued fraction, and Newton's Method approximations, noting that the Greek ladder easily gives both of Archimedes' famous bounds.
The Length of a String

Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...

Introducing the History of Mathematics: An Italian Experience Using Original Documents

A discussion of a collaborative effort in Italy to produce materials enabling secondary school teachers to use the history of mathematics in the classroom.

Inscribed Circle

Given: a circle with an inscribed equilateral triangle. The triangle has sides which are 12 cubits long. What is the area of the circle?

Doing Some Gardening

There is a garden is the shape of a rhombus whose side is 577.5 feet. Within the garden is an inscribed square flower bed whose side is 396 feet. What is the area of the garden?

Pigs in a Blanket?

Three hundred pigs are to be prepared for a feast.

Viete: Triangle II

In a right triangle, the hypotenuse is 13 and the sum of the sides around the right angle is 17. Find the lengths of the sides around the right angle.

Teaching the Fundamental Theorem of Calculus: A Historical Reflection
An argument that the teaching of elementary integration should better reflect its historical development
Science and Mathematics in Ancient Greek Culture
Essays on various aspects of Greek science and mathematics, which help give a context for those aspects of Greek culture.
Rene Descartes' Treatise on Method
This is the title page to Rene Descartes' Treatise on Method, with its three famous essays on Dioptrics, Meteorology, and Geometry. The third essay contains Descartes' treatment of analytic geometry as well as his theory of equations and his rule for finding the normal to a given curve.

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