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Problems from Another Time

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

After a terrible battle it is found that 70% of the soldiers have lost an eye.
A man died leaving 3 sons, to whom he bequeathed his estate in the following manner: to the eldest he gave 184 dollars; to the second 155 dollars and to the third 96 dollars;
Two ants are 100 paces apart, crawling back and forth along the same path. The first goes 1/3 pace forward a day and returns 1/4 pace; the other goes forward 1/5 pace and returns 1/6 pace. How many days before the first ant overtakes the second?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
In a circle whose circumference is 60 units, a chord is drawn forming a segment whose sagitta is 2 units. What is the length of the chord?
Given a right triangle where you know the length of the base and the sum of the perpendicular side and the hypotenuse...
 
A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.
If an arc of 45 degrees on one circumference is equal to an arc of 60 degrees on another circle, what is the ratio of the areas of the circles?
A vessel is anchored in 3 fathoms of water and the cable passes over a sheave in the bowsprit which is 6 ft above the water.
How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?

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