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

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書(shū)目名稱(chēng)Exploring Classical Greek Construction Problems with Interactive Geometry Software
編輯Ad Meskens,Paul Tytgat
視頻videohttp://file.papertrans.cn/320/319473/319473.mp4
概述This 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
叢書(shū)名稱(chēng)Compact Textbooks in Mathematics
圖書(shū)封面Titlebook: Exploring Classical Greek Construction Problems with Interactive Geometry Software; Ad Meskens,Paul Tytgat Book 2017 Springer Internationa
描述In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The 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 others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves..By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers..
出版日期Book 2017
關(guān)鍵詞Delian problem; straightedge and compass; ruler and compass; GeoGebra; neusis; circle quadrature; duplicat
版次1
doihttps://doi.org/10.1007/978-3-319-42863-5
isbn_softcover978-3-319-42862-8
isbn_ebook978-3-319-42863-5Series ISSN 2296-4568 Series E-ISSN 2296-455X
issn_series 2296-4568
copyrightSpringer International Publishing Switzerland 2017
The information of publication is updating

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Constructible numbers,e a consequence of Euclid’s first three postulates:.We will call a number . constructible if we can construct a line segment with length . in a finite number of steps..The axiom tells us that if we choose two different points . and ., then we actually turn the straight line into a ruler with . as un
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Chapter 9 Several Complex Variables,ses, these are exercises whose history goes back to Ancient Greece..We explore two of Plato’s construction categories: constructions with conic sections and constructions with mechanical aids, with historic examples (van Roomen, Viète, van Schooten). In particular neusis or verging constructions are
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Valerie Caven,Stefanos Nachmiaso stop the epidemic. The oracle answered that they should build a new cubic altar, with a size (= volume) double that of the existing one. The length of the edge should be determined by compass and straightedge methods only..Plato gave a solution with mechanical aids, for which numerous variants exi
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