# Problems from Another Time

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

A woodcutter starts to fell a tree 4 feet in diameter, and cuts half way through. One face of the cut is horizontal, and the other face is inclined to the horizontal at an angle of 45 degrees. Find the volume of the wood cut out.
I found a stone but did not weigh it; after I added to it 1/7 of its weight and then 1/11 of this new weight, I weighed the total at 1 mina. What was the weight of the stone?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
There are two piles, one containing 9 gold coins, the other 11 silver coins.
A man died leaving 3 sons, to whom he bequeathed his estate in the following manner: to the eldest he gave 184 dollars; to the second 155 dollars and to the third 96 dollars;
I owe a man the following notes: one of $800 due May 16; one of$660 due on July 1; one of $940 due Sept. 29. He wishes to exchange them for two notes of$1200 each and wants one to fall due June 1. When should the other be due?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
There is a mound of earth in the shape of a frustum of a cone.
A certain man had in his trade four weights with which he could weigh integral pounds from one up to 40. How many pounds was each weight?
Given a semicircle, Prove that if O is the circle's center, DO=OE.