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Problems from Another Time

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

There are two numbers which are to each other as 5 and 6 and the sum of their squares is 2196. What are the numbers?
Suppose a ladder 60 feet long is placed in a street so as to reach a window 37 feet above the ground on one side of the street...
The cost per hour of running a certain steamboat is proportional to the cube of its velocity in still water. At what speed should it be run to make a trip up stream against a four-mile current most economically?
Divide 100 loaves of bread among 10 men including a boatman, a foreman, and a doorkeeper, who receives double portions. What is the share of each?
Twenty-three weary travelers entered a delightful forest. There they found 63 numerically equal piles of plantain fruit.
A certain bishop ordered that 12 loaves be divided among his clergy.
A set of n disjoint, congruent circles packs the surface of a sphere S so that each region of the surface exterior to the circles is bounded by arcs of three of the circles.
An oracle ordered a prince to build a sacred building, whose space would be 400 cubits, the length being 6 cubits more than the width, and the width 3 cubits more than the height. Find the dimensions of the building.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Now there are three sisters who leave home together.

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