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The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB

Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.

Given a wooden log of diameter 2 ch'ih 5 ts'un from which a 7 ts'un thick board is to be cut, what is the maximum possible width of the board?

Log Stuck in a Wall

Now given a cylindrical log of unknown size buried in a wall...

Grain and Camels

A certain gentleman ordered that 90 measures of grain were to be transported from his house to another, 30 leucas distant.

Ladder Problem

If a ladder, placed 8 ft. from the base of a building 40 ft. high, just reached the top, how far must it be placed from the base of the building that it may reach a point 10 ft. from the top?

A Disquisition on the Square Root of Three

The author compares Greek ladder, continued fraction, and Newton's Method approximations, noting that the Greek ladder easily gives both of Archimedes' famous bounds.

The Length of a String

Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...

Introducing the History of Mathematics: An Italian Experience Using Original Documents

A discussion of a collaborative effort in Italy to produce materials enabling secondary school teachers to use the history of mathematics in the classroom.

Inscribed Circle

Given: a circle with an inscribed equilateral triangle. The triangle has sides which are 12 cubits long. What is the area of the circle?