history-page16 - Ancient(Non-Greek Geometry General...

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Ancient (Non-Greek) Geometry General Geometry literally means “Earth measurement”. Societies considered here are Egyptian, Babylonian, Indian, and Chinese. Miscellaneous A lot of apparent interest in unit conversion problems. Double-diFerence method of surveying common in China, and India. How does it work? Why wouldn’t they use something simpler? Egyptians had right formula for a frustum of a pyramid, unlike other ancient civilizations. (It is not average base area times height.) Babylonian geometry very algebraic. Early sliding ladder problem!: “A ladder of length 30 stands against a wall; the question is, how far will the lower end move out from the wall if the upper end slips down a distance of 6 units?” Was geometry purely a tool for these ancient civilizations? What about the strange algebra problems connected with geometry in Mesopotamia? Trigonometry
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