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

Problems from a 15th century French manuscript, including one with negative solutions

A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?
Suppose General [George] Washington had 800 men and was supplied with provisions to last 2 months but he needed to feed his army for 7 months.
A number is required; that the square shall be equal to twice the cube.
This is page 167 from the Exercitationes mathematicae (1657) of Frans van Schooten (1615-1660). This book contained a collection of mathematical construction problems, among much else. It was one of the books read by Isaac Newton while he was a student at Cambridge University and helped to introduce him to modern mathematics. On this page we see a construction enabling one to find the distance across a river.
The cavity of our chimney is an upright parallelepiped, the diagonal of whose base is 60"; and the height of the lower side of the lintel above the plane of the floor is 40".
A five-volume set of biographies of mathematicians from ancient times to the twentieth century, aimed at secondary students.
A number of 3 digits in base 7 has the same three digits...
Given: a circle with an inscribed equilateral triangle. The triangle has an area of 12 square units. What is the area of the circle?

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