chapter 1 the foundation of euclidean geometry this book has been for nearly twenty two centuries the encouragement and guide of that scientic thought which is one thing with the ...
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...Chapter the foundation of euclidean geometry this book has been for nearly twenty two centuries encouragement and guide that scientic thought which is one thing with progress man from a worse to better state cliord introduction branch mathematics in are treated properties gures space ancient origin much its development result eorts made throughout many construct body logical doctrine correlating geometrical data obtained observation measurement by time euclid about b c science had reached well advanced stage accumulated material compiled his elements most remarkable textbook ever written despite number grave imperfections served as model treatises over thousand years predecessors recognized what every student philosophy knows not everything can be proved building structure or more propositions must assumed others following deduction any attempt prove all lead inevitably completion vicious circle these assumptions originally took form postulates suggested experience intuition at best we...