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A cylindrical tin tomato can is to be made which shall have a given capacity. Find what should be the ratio of the height to the radius of the base that the smallest possible amount of tin shall be required.
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.
The history of the Poincare conjecture up to its recent proof by Grigori Perelman.
In a given square, inscribe 4 equal circles so that...
Some ideas on using student reports when you teach a course in the history of mathematics
Find the isoceles triangle of smallest area that circumscribes a circle of radius 1.
Having been given the sum of two numbers,a, and the difference of their squares,b, find the numbers.
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.

The author shows how teachers can use Leonhard Euler's original works in the classroom to explore Euler's famous polyhedral formula,
V + F = E + 2.

A biography of Hypatia in her times, which carefully distinguishes between the known facts of her life and the many speculations about her.

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