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Aristotle and Mathematics. A. Hippocrates of Chios (460-380 B.C.)

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Presentation on theme: "Aristotle and Mathematics. A. Hippocrates of Chios (460-380 B.C.)"— Presentation transcript:

1 Aristotle and Mathematics

2 A. Hippocrates of Chios ( B.C.)

3 1.Orderly Arrangement of Theorems 2.Indirect Method of Proof 3.Author of a Geometry Text 4.Calculation of Curvilinear Areas Mathematical Thought From Ancient to Modern Times, Morris Kline, Oxford University Press, New York, 1972, p.41

4 B.Eudoxus of Cnidus ( B.C.)

5 1.Use of Explicit Axioms 2.Method of Exhaustion

6 C. Aristotle ( B.C.)

7 1.Member of Platos Academy 2.Founder of the Lyceum

8 C. Aristotle ( B.C.) 3.Laws of Logic 4.Deduction and Induction 5.Concept of a Specific Science 6.Axiomatic Method 7.Nature of Definitions 8.Undefined Terms

9 D.Euclid (c B.C.)

10 1.Axioms 2.Definitions 3.Deductive Approach 4.Conic Sections

11 E. Archimedes ( B.C.)

12 1.Calculation of Areas and Volumes 2.Excellent Estimate of Pi 3.Law of Levers 4.Hydrostatics

13 F. Apollonius ( B.C.)

14 1.Unified Treatment of the Conic Sections 2.Introduction of the terms, Parabola, Ellipse, and Hyperbola 3.Hints of Analytic Geometry Mathematics in Western Culture, Morris Kline, Oxford University Press, London, 1953, p 49

15 G. Alexandria and Beyond


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