# Convergence articles

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Images from <em>De revolutionibus,</em> the book of Nicolaus Copernicus in which he presented his heliocentric theory, arguing that the planets, including the Earth, rotated about the Sun

Collection (from 1614) of Roger Bacon's 13th century writings on applications of mathematics

Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.
This is from a letter of June, 1695 in which Leibniz is discussing differentiation with Johann Bernoulli. The work in which these letters appear is the Virorum Celeberr. Got. Gul. Leibnitii et Johann Bernoulli Commercium Philosophicum et Mathematica, originally published in 1740.
Four men already having denari found a purse of denari; each man has a different amount of denari before they found the purse. Find out how much denari each man has.

A collection of articles dealing with mathematical models and objects and how they can be used in teaching.

A round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the center of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?
Now there are six-headed four-legged animals and four-headed two-legged birds placed together.

In a right triangle, having been given the perimeter, a, and the length of the perpendicular from the right-angled vertex to the hypotenuse, b, it is required to find the length of the hypotenuse.

The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.