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035   $a(DE-He213)978-3-319-42863-5
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035   $a(EXLCZ)993710000001051394
100   $a20170206d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aExploring Classical Greek Construction Problems with Interactive Geometry Software /$fby Ad Meskens, Paul Tytgat
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2017.
215   $a1 online resource (XII, 185 p. 160 illus., 10 illus. in color.) 
225 1 $aCompact Textbooks in Mathematics,$x2296-4568
311   $a3-319-42862-4 
320   $aIncludes bibliographical references and index.
327   $a1 Introduction -- 2 The Genesis of Geometry -- 3 Straightedge and compass constructions -- 4 The Delian Problem -- 5 Trisecting an angle -- 6 Squaring the circle -- 7 Constructible numbers -- 8 The Cinderella of regular polygons -- Afterthoughts -- Solutions -- Index.
330   $aIn this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software. The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of GeoGebra the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.
410  0$aCompact Textbooks in Mathematics,$x2296-4568
606   $aGeometry
606   $aMathematics
606   $aHistory
606   $aMathematics?Study and teaching 
606   $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006
606   $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009
606   $aMathematics Education$3https://scigraph.springernature.com/ontologies/product-market-codes/O25000
615  0$aGeometry.
615  0$aMathematics.
615  0$aHistory.
615  0$aMathematics?Study and teaching .
615 14$aGeometry.
615 24$aHistory of Mathematical Sciences.
615 24$aMathematics Education.
676   $a510
700   $aMeskens$b Ad$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767385
702   $aTytgat$b Paul$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
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906   $aBOOK
912   $a9910163994203321
996   $aExploring Classical Greek Construction Problems with Interactive Geometry Software$92070239
997   $aUNINA