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Convergence articles

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In his analysis of volumes of wine barrels, Kepler used ideas that would become important in differential and integral calculus. Use this article's animated visual imagery to help share Kepler's ideas with your students.

A number of 3 digits in base 7 has the same three digits...

This is a description of the crosswalk from Convergence to Loci Convergence.

A father left $20,000 to be divided among his four sons aged 6, 8, 10, and 12 years respectively, so that each share placed at 4 1/2 percent compounded interest should amount to the same value when its possessor becomes the age 21.

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

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?

Three hundred pigs are to be prepared for a feast.

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.

An argument that the teaching of elementary integration should better reflect its historical development
Essays on various aspects of Greek science and mathematics, which help give a context for those aspects of Greek culture.

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