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Ptolemy can be credited with Ptolemy’s theorem for deriving trigonometric portions, and probably the most accurate value of π outside of China till the medieval interval, 3.1416. Eudoxus (408–c. 355 BC) developed the method of exhaustion, a precursor of recent integration and a principle of ratios that avoided the issue of incommensurable magnitudes. The former allowed the calculations of areas and volumes of curvilinear figures, while the latter enabled subsequent geometers to make significant advances in geometry. Though he made no specific technical mathematical discoveries, Aristotle (384–c. 322 BC) contributed considerably to the development of arithmetic by laying the foundations of logic.

1650 BC but likely a duplicate of an older document from the Middle Kingdom of about 2000–1800 BC. It also exhibits how to clear up first order linear equations in addition to arithmetic and geometric …

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