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Given a number, take 1/3 of the number away from itself and add 2. If this result is multiplied by itself, it equals the number plus 24. What is the number?
A letter to Sam Greitzer, late editor of Arbelos, discussing the derivation of two formulas for calculating pi.
Page 9, Images from Paul Halmos Photograph Collection: Burkholder, Butzer, Calderon, Chern, et al
A great book from which to learn and teach the subject of relativity.
The Arithmetic of Boethius (480-524) dates from the early sixth century. This page is from a mansucript (Plimpton MS 165) that dates from approximately 1294, written on vellum.
A man and his wife drink a barrel of wine at different rates. Find the rate it takes both of them together to drink the wine.
A father wills his estate valued at $40, 000 to his three children. Before the settlement one of the children dies. What should the other two receive?
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.
Imagine an urn with two balls, each of which may be either white or black. One of these balls is drawn and is put back before a new one is drawn.
What is the sum of the reciprocals of the triangular numbers?