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Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.

Investigating Euler's Polyhedral Formula Using Original Sources

The author shows how teachers can use Leonhard Euler's original works in the classroom to explore Euler's famous polyhedral formula,
V + F = E + 2.

Travelling Steamers

The steamer, Katie, leaves the wharf at New Orleans and runs an average speed of 15 mph. When Katie had gone 25 miles, the steamer R.E. Lee leaves the wharf and runs the average speed of 18 mph. How far will the Lee go before she overtakes the Katie?

Perpendicular Curves

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

University Payment Plan

A merchant gave a university 2,814 ducats on the understanding that he was to be paid back 618 ducats per year for 9 years, at the end of which the 2,814 ducats should be considered as paid.

Equations from God: Pure Mathematics and Victorian Faith

A study of Victorian idealism and its relation to religion, as exemplified in the work of three 19th century British mathematicians.

A Triangular Problem

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.

Circle and Equilateral Triangle

A circle ABDC is circumscribed around an equilateral triangle ABC. Prove that the straight line AD is equal to the sum of the two straight lines BD and DC.

The Enigmatic Number \(e\): A History in Verse and Its Uses in the Mathematics Classroom

The author uses her poem, 'The Enigmatic Number e,' to show how poetry about the history of mathematics can be used to enrich and enliven mathematics instruction.

10 Into 3 Parts

Make of 10 three parts such that one part multiplied by 3 makes as much as the other multiplied by 4 and as the other multiplied by 5.