You are here

Problems from Another Time

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

The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
A fox, a raccoon, and a hound pass through customs and together pay 111 coins.
A man went to a draper and bought a length of cloth 35 braccia long to make a suit of clothes.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
In a given square, inscribe 4 equal circles so that...
Given right triangle ABC where C is the right angle, ellipse O (a,b) is inscribed in it, with its major axis parallel to BC. Calculate the semi-major axis, a, in terms of AC, BC and b.
An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.