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Historical Problems can be used to enliven any mathematics class. Here are some examples from medieval times, from a 19th century American textbook, and from a 19th century Armenian textbook, among other sources.
I have two fields of grain. From the first field I harvest 2/3 a bushel of grain/unit area; from the second, 1/2 bushel/unit area.
The beginnings of land measurement in the early United States and how this affected American democracy.
Determine a number having remainders 2, 3, 2 when divided by 3, 5, 7 respectively.
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
An image of the calendar, together with instructions for its use
A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.
This is the title page to the 1811 edition of the Descriptive Geometry of Gaspard Monge (1746-1818). This book deals with methods for representing three-dimensional objects in two dimensions. It was written to accompany Monge's courses at the Ecole Polytechnique in Paris.
Two persons sat down to play for a certain sum of money; and agree that the first who gets three games shall be the winner. After a few games they resolve to divide the stakes. How much should each person receive?
Given two circles tangent to each other and to a common line, determine a relationship between the radii and the distance between the tangent points.

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