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There are two numbers whose sum equals the difference of their squares.

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?

A Radical Approach to Real Analysis

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

Ladder Day Question

A ladder is placed perpendicular to the plane of the horizon, and in coincidence with the plane of an upright wall.

Sick Leave

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 Classic Greek Ladder and Newton's Method

Greek ladders for approximating square roots may be more ancient than the ancient Greeks. Students at any level can appreciate their beauty and simplicity. Those who have studied calculus can compare them with Newton's Method for approximating roots.

A Grinding Stone

Seven men held equal shares in a grinding stone 5 feet in diameter. What part of the diameter should each grind away?

Midwest History of Mathematics Conference

The Midwest History of Mathematics Conference will take place in the Reinhart Center of Viterbo University, LaCrosse, Wisconsin, on October 3 and 4, 2008.

Sides of a Rectangle

Given a rectangle, find the line through one vertex of minimum length that passes through the extensions of the two opposite sides.

Circle With a Chord

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?