A powerful, unvanquished, excellent black snake, 80 angulas in length, enters into a hole at the rate of 7 1/2 angulas in 5/14 of a day, and in the course of a day its tail grows 11/4 of an angula.

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In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"

A man has four creditors. To the first he owes 624 ducats; to the second, 546; to the third, 492; and to the fourth 368.

Problems from a 15th century French manuscript, including one with negative solutions

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.

The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB

A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?

A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?

Heron of Alexandria (ca 200) wrote on many aspects of applied mathematics.