Convergence articles

Displaying 311 - 320 of 724

Filter by subject

Museum of the History of Science, Oxford

There is much to see in this museum related to the history of mathematics.

Given two circles tangent to each other and to a common line, determine a relationship between the radii and the distance between the tangent points.

James Joseph Sylvester: Jewish Mathematician in a Victorian World

The first detailed biography of James Joseph Sylvester.

A Hole in One?

A barrel has various holes in it. The first hole empties the barrel in three days...

Inscribed Circle and Trapezoid

A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.

Review of The Math Book

In this fascinating and accessible book, the author devotes one lively, informative page of description and one striking, full-page illustration to each of 250 milestones in mathematics.

Water in a Fish Pond

There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?

Feline Geometry

Given the cats eye as shown. Let the radius of the eye be given by R. What is the area of the pupil?

The Ant Race

Two ants are 100 paces apart, crawling back and forth along the same path. The first goes 1/3 pace forward a day and returns 1/4 pace; the other goes forward 1/5 pace and returns 1/6 pace. How many days before the first ant overtakes the second?

Mystery Numbers

Find two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27.