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.
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.
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.