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Trigonometry development in ancient and medieval India
(2012)
This paper explores the history and possible mathematical methods behind the development of trigonometry in ancient and medieval India. Specifically, it describes possible methods of interpolating sine values from these tables.
The impossible proof : an analysis of Adrien-Marie Legendre's attempts to prove Euclid's fith Postulate
(University of Missouri--Kansas City, 2013)
Euclid’s Fifth Postulate, the controversial Parallel Postulate, has been labeled
by mathematical scholars throughout the centuries as unnecessary, as able to
be proved from the other four Postulates. Many throughout the ...
Indivisibles and the cycloid in the early 17th century
(2/2/2015)
We observe the application of Bonaventura Cavalieri’s (1598 -
1647) method of “indivisibles,” a mathematical method popular in the
early 17th century for finding the area contained by curvilinear spaces, to
the problem ...