Titlebook: Exploring Classical Greek Construction Problems with Interactive Geometry Software; Ad Meskens,Paul Tytgat Book 2017 Springer Internationa

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Ad Meskens,Paul TytgatThis book is the first to apply Interactive Geometry Software to classic Greek construction problems in a didactical, enquiry based approach.The history of classic Greek construction problems explored

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Exploring Classical Greek Construction Problems with Interactive Geometry Software978-3-319-42863-5Series ISSN 2296-4568 Series E-ISSN 2296-455X

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The Genesis of Geometry,ns and constructions with mechanical aids, with historic examples (van Roomen, Viète, van Schooten). In particular neusis or verging constructions are discussed. This method will be used extensively in the following chapters.

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The Delian Problem,of the edge should be determined by compass and straightedge methods only..Plato gave a solution with mechanical aids, for which numerous variants exist. Plato’s method was used in the sixteenth century by wine gaugers to construct a cubic gauging rod..A line segment of length . can be constructed using a neusis method, which we discuss in depth.

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Book 2017The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst other

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Linkages Among G7 Stock Markets,nsferred to any straight line through . or . using Thales’ intercept theorem. After we have shown that parallel lines exist and can be constructed (see 3.2) we can transfer this gauge to any straight line.