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Convergence articles

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God Created the Integers: Mathematical Breakthroughs that Changed History

Original source material from seventeen mathematicians, with commentary by Stephen Hawking.

A River Runs Through It

Wanting to know the breadth of a river, I measured a base of 500 yards in a straight line close by one side of it.

The Chinese General and the River

An old Chinese general led his army to a river with a steep bank. Standing atop the bank, he held a stick 6 feet long perpendicular to himself.

Euclidean and Non-Euclidean Geometries: Development and History

This textbook seamlessly combines the history of non-Euclidean geometry with the mathematical ideas.

Japanese Temple Problem 2
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
A Circular Problem

Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.

Wooden Be Board

Given a wooden log of diameter 2 ch'ih 5 ts'un from which a 7 ts'un thick board is to be cut, what is the maximum possible width of the board?

Log Stuck in a Wall

Now given a cylindrical log of unknown size buried in a wall...

Grain and Camels

A certain gentleman ordered that 90 measures of grain were to be transported from his house to another, 30 leucas distant.

Ladder Problem

If a ladder, placed 8 ft. from the base of a building 40 ft. high, just reached the top, how far must it be placed from the base of the building that it may reach a point 10 ft. from the top?

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