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A novel about Pythagoras and his followers

In a forest, a number of apes equal in number to the square of 1/8 of the total number of apes are noisy. The remaining 12 apes are on a nearby hill irritated. What is the total number of apes in the pack?

A biography of the 18th century author of an early calculus text, with some translations from the text.

I found a stone but did not weigh it; after I added to it 1/7 of its weight and then 1/11 of this new weight, I weighed the total at 1 mana. What was the weight of the stone?

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?

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

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

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?

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...

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