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- W143505462 abstract "This thesis investigates mathematical applications of conic sections to problem solving from the time they were invented in 350 B.C. to the 13th century A.D. We begm with the classic problems of the ancient Greek geometrical tradition, then, we explore other problems, which arose through the course of the development of the theory of conic sections, that would also require the use of conic sections. In the second part, we present the methods of Islamic geometers in solving these same problems and compare their methods to those of the Greek geometers. Afterwards, we discuss some new problems solved by Islamic geometers, some of which they were able to translate into cubic equations. This will lead us to consider the important part conic sections played in the development of the theory of cubic equations." @default.
- W143505462 created "2016-06-24" @default.
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- W143505462 date "1995-01-01" @default.
- W143505462 modified "2023-09-27" @default.
- W143505462 title "Mathematical applications of conic sections in problem solving in ancient Greece and medieval Islam" @default.
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