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Problems from Another Time

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

Japanese Temple Problem 2
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
Pair of Numbers
There are two numbers whose sum equals the difference of their squares.
To Know a Little
To find three quantities x.y, and z...
Four Circles in a Square
In a given square, inscribe 4 equal circles so that...
Neither Rain nor Sleet nor Snow
If two Post-Boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...
Swinging Pendulum
Given a pendulum as shown. The height of the pendulum is two units and its horizontal width is 2 units. What is the area of the pendulum?
Four Numbers
Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...
Sides of a Rectangle 2
In a rectangle, given the diagonal and perimeter, find the sides
Cow Dilemma
Suppose that for every 4 cows a farmer has, he should plow 1 acre of land, and allow 1 acre of pasture for every 3 cows; how many cows could he keep on 140 acres?
Peano on Wronskians: A Translation - Introduction
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students

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