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Convergence articles

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Inscribed Circle and Trapezoid

A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.

The Mathematics of the Heavens and the Earth

A comprehensive history of trigonometry from ancient times to the Renaissance.

The Amount of Time a Man Can Do Work

How long does it take a single man to do work when...

HPM 2008
The quadrennial meeting of the International Study Group on the Relations between History and Pedagogy of Mathematics will be in Mexico City, July 14-18, 2008.
Oracle for Rent

An oracle ordered a prince to build a sacred building, whose space would be 400 cubits, the length being 6 cubits more than the width, and the width 3 cubits more than the height. Find the dimensions of the building.

Log and some string

There is a log 18 feet long, the diameter of the extremities being 1 ft and 2.6 ft respectively...

Losing My Marbles?

In a square box that contains 1000 marbles, how many will it take to reach across the bottom of the box in a straight row?

Nuts Over Counting

A fellow said that when he counted his nuts by twos, threes, fours, fives and sixes, there was still one left over; but when he counted them by sevens they came out even. What is the smallest number of nuts he could have?

Review of The Music of Pythagoras
Subtitled How an Ancient Brotherhood Cracked the Code of the Universe and Lit the Path from Antiquity to Outer Space, this is a book of entertaining stories more so than scholarly research.
Isoceles Trapezoid

Given the dimensions of an isosceles trapezoid, find the length of the transversal drawn parallel to the bases that divides the trapezoid into 2 equal areas.

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