# Problems from Another Time

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

The number 50 is divided by a certain number. If the divisor is increased by 3, the quotient decreases by 3.75. What is the number?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
It is required to determine whether 30 horses can be put into 7 stalls; so that in every stall there may be, either a single horse, or an odd number of horses.
A ladder has 100 steps. On the first step sits 1 pigeon; on the second, 2; on the third, 3; and so on up to the hundredth. How many pigeons in all?
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 (c. 10 - 75 CE) wrote on many aspects of applied mathematics.
Prove that a square circumscribed about a given circle is double in area to a square inscribed in the same circle.
Find the isosceles triangle of smallest area that circumscribes a circle of radius a.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions