You are here

Convergence articles

Displaying 601 - 610 of 651

One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...
There are two numbers which are to each other as 5 and 6 and the sum of their squares is 2196. What are the numbers?
The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.
If in a circle ABDC, circumscribe an equilateral triangle ABC; the straight line AD is equal to the sum of the two straight lines BD and DC: required a demonstration.

Three images from Kepler's 1609 Astronomia Nova, the text in which he introduced his first two laws of planetary motion

Short sketches on how mathematicians work and think.
Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.
A translation from the original Greek of a manuscript on magic squares by the Byzantine scholar Manuel Moschopoulos, written about 1315
Given four integers where if added together three at a time their sums are: 20, 22, 24, and 27. What are the integers?
A cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall;