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Two officers each have a company of men, the one has 40 less than the other.
Aspects of classical Greek mathematics are compared with areas of Babylonian mathematics.
An old Chinese general led his army to a river with a steep bank. Standing atop the bank, he held a stick 6 feet long perpendicular to himself.
The story of Nicolaus Mercator, music, and logarithms.
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.
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
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 ladder is placed perpendicular to the plane of the horizon, and in coincidence with the plane of an upright wall.