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Problems from Another Time

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

Historical Activities for the Calculus Classroom
Curve sketching, tangent lines, and optimization, explored via interactive applets
Viete: Triangle
In a right triangle, let the perpendicular be 5 and the sum of the base and hypotenuse 25. Find the lengths of the base and hypotenuse
Square Battalions
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.
Perimeters of Similar Triangles
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11 and a second side has length 19. Find the lengths of the sides of the second triangle.
Area of Elliptical Segment
Find the area of the elliptical segment cut off parallel to the shorter axis;
A Lion in a Well
There is a lion in a well whose depth is 50 palms. He climbs and slips back a certain amount each day. In how many days will he get out of the well?
Sum of Squares
There are two numbers which are to each other as 5 and 6 and the sum of their squares is 2196. What are the numbers?
Pearls of Wisdom
The third part of a necklace of pearls, broken in a lover's quarrel, fell to the ground...
Farmer's Best Deal
How many calves, goats and pigs did the farmer buy?
Traveling Men
Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.

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