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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.
The square root of half the number of bees in a swarm has flown out upon a jessamine bush; 8/9 of the swarm has remained behind.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Heron of Alexandria (ca 200) wrote on many aspects of applied mathematics.
A man hired a horse in London at 3 pence a mile. He rode 94 miles due West to Bristol then due north to Chester, whence he returned toward London for 66 miles, which put him in Coventry.
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?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
There is a garden is the shape of a rhombus whose side is 768.52 feet. Within the garden is an inscribed square flower bed whose side is 396 feet. What is the area of the garden?
A speculator bought stock at 25% below par and sold it at 20% above par. He gained $1560. How much did he invest?

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