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This is the page illustrating the construction of an ellipse, from the Latin translation (1538) of the Treatise on Mensuration of Albrecht D�rer (1471-1528). This book was originally written in German and published in 1525 and was designed to teach German artists the geometrical ideas on which perspective in painting was based.
Of the two water reeds, the one grows 3 feet and the other 1 foot on the first day. The growth of the first becomes every day half of that of the preceding day, while the other grows twice as much as on the day before.
Apollonius found how to draw normals to an ellipse from points in the ellipse by using hyperbolas. A modern version is presented here.
A fox, a raccoon, and a hound pass through customs and together pay 111 coins.
To find three quantities x.y, and z...
Four men already having denari found a purse of denari; each man has a different amount of denari before they found the purse. Find out how much denari each man has.
A boy gives 11 coins of equal denomination to a man, and the man finds that their total value in yen is 4 less than his age.
A history of attempts to develop formulas expressing the sums of powers of the first n positive integers from the Pythagoreans to Jakob Bernoulli. With exercises.
A round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the center of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?
A water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.

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