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Frans van Schooten's Exercitationes mathematicae

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.

The Story of Mathematics

A wonderful survey of the history of mathematics, emphasizing its relationship with the ambient culture.

Dealing in Sheep

A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received $150 for them. How many did he buy?

Mathematics Elsewhere

A compilation of ethnomathematical ideas from around the world.

Traveling on a Train

Two travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.

Area of Elliptical Segment

Find the area of the elliptical segment cut off parallel to the shorter axis;

The Nodding Sphere and the Bird's Beak: D'Alembert's Dispute with Euler

An introduction to the priority dispute between Euler and D'Alembert relating to several mathematical ideas that both worked on in the 1740s and 1750s.

Agenda items

Here are some things I don't want to forget to ask.

Points in a Semicircle

Given a semicircle, prove that if O is the circle's center, DO=OE.

Long Time to Fill the Tub

A water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.