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On Triangles, by Regiomontanus (Johannes M�ller) (1436-1476), written in 1464 but not published until 1533.
A vessel is anchored in 3 fathoms of water and the cable passes over a sheave in the bowspirt which is 6 ft above the water.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
A man, his wife, and 2 sons desire to cross a river.
This website devoted to miscellanea about Archimedes contains much interesting material about his life and times.
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?
A survey of the attempts to prove Kepler's conjecture over the past 400 years.
This is the title page of the 1640 printing of Galileo's Operation of the Geometrical and Military Compass, originally published privately in 1606. Galileo had invented a version of this geometrical compass a few years earlier and evidently gave copies of this manual to those who bought the compass. The compass had many uses, from performing square root calculations to determining ranges of cannons to solving surveying problems.
A copper water tank in the form of a rectangular parallelopiped is to made. If its length is to be a times its breadth, how high should it be that for a given capacity it should cost as little as possible?