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A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
This is page 167 from the Exercitationes mathematicae (1657) of Frans van Schooten (1615-1660). This book contained a collection of mathematical construction problems, among much else. It was one of the books read by Isaac Newton while he was a student at Cambridge University and helped to introduce him to modern mathematics. On this page we see a construction enabling one to find the distance across a river.
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?
Prove geometrically that the hypocycloid is a straight line when the radius of the rolling circle is one-half the radius of the fixed circle.
Given a wooden log of diameter 2 feet 5 inches from which a 7 inch thick board is to be cut, what is the maximum possible width of the board?
Given the frustum of a circular cone with height h.
The MAA's annual summer Mathfest will take place in Knoxville, TN from August 10-12, 2006.
There is a regular pentagon. The length of its side is a. Find the area of the pentagon. Generalize your result for a nonagon.

A bibliographical reference to mathematics books printed in the new world before 1700.

Two men start walking at the same time and travel a distance. One is walking faster and completes the journey sooner. How fast did each man travel?

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