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Indivisibles and the cycloid in the early 17th century
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 ...
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 ...
Trigonometry development in ancient and medieval India
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.