# Convergence articles

Displaying 481 - 490 of 748

An image of the calendar, together with instructions for its use

Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.

This is the title page of Isaac Barrow's Latin edition of the works of Archimedes, the first four books of Apollonius's Conics, and Theodosius's Spherica. It was published in 1675.

Four men already having denari found a purse of denari; each man has a different amount of denari before they found the purse. Find out how much denari each man has.

A thorough study of Benjamin Franklin's mathematical accomplishments, in particular his work on magic squares.

A round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the circumference of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?

Now there are three sisters who leave home together.

In a right triangle, having been given the perimeter, a, and the length of the perpendicular from the right-angled vertex to the hypotenuse, b, it is required to find the length of the hypotenuse.

The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.

A comprehensive history of trigonometry from ancient times to the Renaissance.