# Convergence articles

Displaying 441 - 450 of 723

Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.

A man entered an orchard through 7 gates, and there took a certain number of apples. When he left the orchard, he gave the first guard half the apples he had and 1 apple more.

A historically minded textbook designed to teach real analysis by considering some of the problems faced by 19th century mathematicians.

To find three quantities x.y, and z...

It is required to determine whether 30 horses can be put into 7 stalls; so that in every stall there may be, either a single horse, or an odd number of horses.

Subtitled How an Ancient Brotherhood Cracked the Code of the Universe and Lit the Path from Antiquity to Outer Space, this is a book of entertaining stories more so than scholarly research.

There is a fish whose body weighs 8 ounces. How much does the whole fish weigh?

Given the fraction ax/(a-x), convert it into an infinite series.

Thirty flasks—10 full, 10 half-empty, and 10 completely empty—are to be divided among 3 sons so that flasks and contents should be shared equally. How may this be done?

In a circle whose circumference is 60 units, a chord is drawn forming a segment whose sagitta is 2 units. What is the length of the chord?