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The Evolution of Algebra and Geometry in Ancient Civilizations

Explore the historical development of algebra and geometry in ancient civilizations like Sumer, Babylon, Egypt, China, Greece, and India. Discover the influence of Pythagorean triangles, Oracle writing, and linear constructions. Learn about key mathematical concepts and texts that shaped the foundations of modern mathematics.

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The Evolution of Algebra and Geometry in Ancient Civilizations

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  1. Statements in „Algebra and Geometry in Ancient Civilizations“ by B. L. van der Waerden Central Europe / Danube region Circular rings Brittany and Britain A British Museum 34 568 Cuneiform writing Supposition of van der Waerden Sumer Babylon Hiero-glyphics Papyrus Moscow Egypt Pythagorean triangles/Pythagorean Theorem Gizepyramids Oracle writing Nine Chapter China F Pythagoras et al. Linear A E C D B Crete Greece Śatapatha Śulvasūtra Indus writing India BC AD 4. millennium 3. millennium 2. millennium 1. millennium 1. millennium chronologically fixed source supposed source A rope stretchersB equal problem solutionsC truncated pyramid D comparison British Museum 34 568 with Nine ChapterE ritual geometric constructionsF Euclidian Algorithm confirmed common origin [v. d. Waerden] supposed ESM Fig. 1

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