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On a certain ground stands two poles 12 feet apart, the lesser pole is 35 ft. in height and the greater 40 ft. It is sought, if the greater pole will lean on the lesser, then in what part will it touch?
Make a crown of gold copper, tin, and iron weighing 60 minae: gold and copper shall be 2/3 of it; gold and tin, 3/4 of it; and gold and iron, 3/5 of it. Find the required weights of gold, copper, tin, and iron.
In Archimedes' Book of Lemmas (ca 250), he introduces a figure that, due to its shape, has historically been known as "the shoemaker's knife" or arbelos.
An argument that the teaching of elementary integration should better reflect its historical development
Title page of Jacob Bernoulli's Ars Conjectandi (The Art of Conjecturing), published posthumously in 1713 by his nephew Nicolaus I Bernoulli. The Ars Conjectandi is famous for Bernoulli's statement of a general rule for summing integral powers as well as for the first statement and proof of the Law of Large Numbers.
Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...
A castle has n rooms each of which has 7 samurai in it.
A lady has two silver cups, and only one cover for both. The first cup weighs 16 oz, and when it is covered it weighs 3 times as much as the second cup; but when the second cup is covered, it weighs 4 times as much as the first.
Assume that the human population after the flood was 6 and that 200 years later the population was 1,000,000. Find the annual growth of the population.
A historically minded textbook designed to teach real analysis by considering some of the problems faced by 19th century mathematicians.