# Problems from Another Time

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

A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
An official asks a woman why she has so many bowls to wash. The woman explains that she had dinner guests who ate meat, rice, and soup. Judging by the number of bowls, how many guests were there?
As for a square piece of land that amounts to 100 square cubits, if it is said to you, "Cause it to make a piece of land that amounts to 100 square cubits that is round," what is the required diameter?
There is a regular pentagon. The length of its side is a. Find the area of the pentagon. Generalize your result for a nonagon.
Two bicyclists travel in opposite directions around a quarter-mile track and meet every 22 seconds. When they travel in the same direction on this track, the faster passes the slower once every 3 minutes and 40 seconds. Find the rate of each rider
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?
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
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?
Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.
Given a semicircle, Prove that if O is the circle's center, DO=OE.