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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

A general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.
Given right triangle ABC where C is the right angle, ellipse O (a,b) is inscribed in it, with its major axis parallel to BC. Calculate the semi-major axis, a, in terms of AC, BC and b.
There is a fish whose body weighs 8oz. Tell me how much the whole fish weighs?
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.
There is a tree with 100 branches. How many nests, eggs and birds are there?
What is the value of X...
Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.

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