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Convergence articles

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Paul Halmos Photograph Collection, page 3: M. Auslander, R. Baer, Banchoff, C. N. Moore, I. A. Barnett, P. Erdos, and Lida Barrett
This is the title page of the 1599 edition of the Rechenbuch of Simon Jacob (d. 1564), a Rechenmeister of the sixteenth century. This was a commercial arithmetic text, in which the basic laws of arithmetic were applied to many practical problems.
A guest on horseback rides 300 li in a day. The guest leaves his clothes behind and the host rides off to catch up with the guest once he discovers the clothes. Assuming the host rides without stop tell how far he can go in a day?
Three circles of varying radius are mutually tangent. The area of the triangle connecting their centers is given. Find the radius of the third circle.
Suppose that the propability of success in an experiment is 1/10. How many trials of the experiment are necessary to insure even odds on it happening at least once?
A certain slave fled from Milan to Naples going 1/10 of the whole journey each day. At the beginning of the third day, his master sent a slave after him and this slave went 1/7 of the whole journey each day.
There is a round town 8000 feet in circumference.
A study of the nature of architecture in ancient Egypt and its relationship to Egyptian mathematics.
An image of the calendar, together with instructions for its use
This is the title page of Isaac Barrow's Latin edition of the works of Archimedes, the first four books of Apollonius's Conics, and Theodosius's Spherica. It was published in 1675.

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