You are here

Problems from Another Time

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

Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
There is a garden is the shape of a rhombus whose side is 768.52 feet. Within the garden is an inscribed square flower bed whose side is 396 feet. What is the area of the garden?
In a given square, inscribe 4 equal circles so that...
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.
The purchase price for an apple and an orange is 100 yen. When n oranges and n + 3 apples are bought the price is 520 yen. Find the number n of oranges and the price of one orange.
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.

Pages

Dummy View - NOT TO BE DELETED