# Convergence articles

Displaying 661 - 670 of 723

Find two numbers with sum 20 and when squared their sum is 208.

A teacher agreed to teach 9 months for $562.50 and his board. At the end of the term, on account of two months' absence caused by sickness, he received only$409.50. What was his board worth per month?

The author compares Greek ladder, continued fraction, and Newton's Method approximations, noting that the Greek ladder easily gives both of Archimedes' famous bounds.

Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...

A discussion of a collaborative effort in Italy to produce materials enabling secondary school teachers to use the history of mathematics in the classroom.

Given: a circle with an inscribed equilateral triangle. The triangle has sides which are 12 cubits long. What is the area of the circle?

There is a garden is the shape of a rhombus whose side is 577.5 feet. Within the garden is an inscribed square flower bed whose side is 396 feet. What is the area of the garden?

Three hundred pigs are to be prepared for a feast.

In a right triangle, the hypotenuse is 13 and the sum of the sides around the right angle is 17. Find the lengths of the sides around the right angle.

An argument that the teaching of elementary integration should better reflect its historical development