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Convergence articles

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A portrait gallery of mathematicians, mostly taken from the collection at the Dibner Library of the Smithsonian, with permission.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
If I were to give 7 pennies to each beggar at my door, I would have 24 pennies left in my purse. How many beggars are there and how much money do I have?
A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods; and he is to pay 1 dollar for each rod in the length of the land and 3 dollars for each rod in the breath of the land.
The square of a certain number multiplied by itself and by 200 is 446,976. What is the number?
Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25
Download the three winning essays to learn about Kepler's mathematical astronomy, the roots of modern algebra, and the Quadrivium of Isidore of Seville.
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
A number of 3 digits in base 7 has the same three digits...