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A collection of short lectures by Howard Eves giving details on 20 important happenings in the history of mathematics before 1650.

Images of the first printed edition of Euclid's Elements

In the middle of the 18th century, King Frederick the Great of Prussia became interested in creating a lottery to raise money. As was his custom when mathematical matters were involved, he called upon Leonhard Euler for counsel.

A discussion of why we use "e" to represent the base of the natural logarithm system.

What is the perpendicular height of a cloud when it's angles of elevation were 35 degrees and 64 degrees as taken by two observers?
Suppose the area of an equilateral triangle be 600. The sides are required.
Determine the radii of three equal circles decribed within and tangent to a given circle, and also tangent to each other
A biography of the geometer Donald Coxeter.
The edge of a cloud is at an altitude of 20 degrees and the sun above it at 35 degrees. The shadow cast by the edge of the cloud fall on a object 2300 yards away, how high is the cloud?
Suppose that for every 4 cows a farmer has, he should plow 1 acre of land, and allow 1 acre of pasture for every 3 cows; how many cows could he keep on 140 acres?

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