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Convergence articles

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Benjamin Banneker solved some trigonometry problems in his extant notebooks. One of them is discussed here. The authors have also discovered the probable source of Banneker's trigonometry table.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
In the figure at the left, if the radii of each inscribed circle is 1, what are the dimensions of the bounding rectangle?
Illustration of a counting board in Strasbourg
Of a collection of mango fruits, the king took 1/6; the queen 1/5 the remainder, and the three princes took 1/4, 1/3 and 1/2 (of the same remainder); and the youngest child took the remaining 3 mangoes.
Find two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27.
I am a brazen lion; my spouts are my 2 eyes, my mouth, and the flat of my foot. My right eye fills a jar in 2 days, my left eye in 3, and my foot in 4.
Simpson's methods for finding maxima and minima are explored by using examples from his "Doctrine and Application of Fluxions." Many of his techniques could be used in today's classroom.
This work discusses the people who solved some of Hilbert's problems from 1900, as well as the mathematics involved in the solutions.

[Translation of title: Algebra in the Time of Babylon. When Mathematics Were Written on Clay.] A thorough review of Jens Hoyrup's revision, expansion, and French translation of his own 1998 book for Danish high-school students.

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