{"product_id":"advanced-euclidean-geometry-isbn-9780470412565","title":"Advanced Euclidean Geometry","description":"State curriculum standards are mandating more coverage of geometry, as are the curricula for pre-service mathematics education and in-service teaching. Yet many secondary teachers know just enough geometry to stay one chapter ahead of their students! What’s more, most college-level geometry texts don’t address their specific needs.  \u003cp\u003e\u003ci\u003eAdvanced Euclidean Geometry\u003c\/i\u003e fills this void by providing a thorough review of the essentials of the high school geometry course and then expanding those concepts to advanced Euclidean geometry, to give teachers more confidence in guiding student explorations and questions.  The text contains hundreds of illustrations created in \u003ci\u003eThe Geometer’s Sketchpad\u003c\/i\u003e Dynamic Geometry® software, and it is packaged with a CD-ROM (for Windows®\/Macintosh® formats) containing over 100 interactive sketches using \u003ci\u003eSketchpad\u003c\/i\u003e™ (assumes that the user has access to the program).\u003cbr\u003e \u003c\/p\u003e  Preface.  \u003cp\u003eIntroduction.\u003c\/p\u003e \u003cp\u003eAbout the Author.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1: Elementary Euclidean Geometry Revisited.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eReview of Basic Concepts of Geometry.\u003c\/p\u003e \u003cp\u003eLearning from Geometric Fallacies.\u003c\/p\u003e \u003cp\u003eCommon Nomenclature.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2: Concurrency of Lines in a Triangle.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction.\u003c\/p\u003e \u003cp\u003eCeva's Theorem.\u003c\/p\u003e \u003cp\u003eApplications of Ceva's Theorem.\u003c\/p\u003e \u003cp\u003eThe Gergonne Point.\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3: Collinearity of Points.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eDuality.\u003c\/p\u003e \u003cp\u003eMenelaus's Theorem.\u003c\/p\u003e \u003cp\u003eApplications of Menelaus's Theorem.\u003c\/p\u003e \u003cp\u003eDesargues's Theorem.\u003c\/p\u003e \u003cp\u003ePascal's Theorem.\u003c\/p\u003e \u003cp\u003eBrianchon's Theorem.\u003c\/p\u003e \u003cp\u003ePappus's Theorem.\u003c\/p\u003e \u003cp\u003eThe Simson Line.\u003c\/p\u003e \u003cp\u003eRadical Axes.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4: Some Symmetric Points in a Triangle.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction.\u003c\/p\u003e \u003cp\u003eEquiangular Point.\u003c\/p\u003e \u003cp\u003eA Property of Equilateral Triangles.\u003c\/p\u003e \u003cp\u003eA Minimum Distance Point.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5: More Triangle Properties.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction.\u003c\/p\u003e \u003cp\u003eAngle Bisectors.\u003c\/p\u003e \u003cp\u003eStewart's Theorem.\u003c\/p\u003e \u003cp\u003eMiquel's Theorem.\u003c\/p\u003e \u003cp\u003eMedians.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6: Quadrilaterals.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eCenters of a Quadrilateral.\u003c\/p\u003e \u003cp\u003eCyclic Quadrilaterals.\u003c\/p\u003e \u003cp\u003ePtolemy's Theorem.\u003c\/p\u003e \u003cp\u003eApplications of Ptolemy's Theorem.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7: Equicircles.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003ePoints of Tangency.\u003c\/p\u003e \u003cp\u003eEquiradii.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8: The Nine-Point Circle.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction to the Nine-Point Circle.\u003c\/p\u003e \u003cp\u003eAltitudes.\u003c\/p\u003e \u003cp\u003eThe Nine-Point Circle Revisited.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9: Triangle Constructions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction.\u003c\/p\u003e \u003cp\u003eSelected Constructions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10: Circle Constructions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction.\u003c\/p\u003e \u003cp\u003eThe Problem of Apollonius.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11: The Golden Section and Fibonacci Numbers.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Golden Ratio.\u003c\/p\u003e \u003cp\u003eFibonacci Numbers.\u003c\/p\u003e \u003cp\u003eLucas Numbers.\u003c\/p\u003e \u003cp\u003eFibonacci Numbers and Lucas Numbers in Geometry.\u003c\/p\u003e \u003cp\u003eThe Golden Rectangle Revisited.\u003c\/p\u003e \u003cp\u003eThe Golden Triangle.\u003c\/p\u003e \u003cp\u003eIndex.\u003c\/p\u003e \u003cb\u003eAlfred S. Posamentier\u003c\/b\u003e: Dean, City College of New York School of Education, 1999 - present; Professor of Mathematics Education, 1970 - present; Director, European Exchange Programs at the City College, (with Argentina, Austria, Czech Republic, Germany, Great Britain, Hungary, Poland) since 1983; Director, CCNY Extension Center at Rockland County Teacher's Center, since 1984.","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988666695909,"sku":"NP9780470412565","price":100.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470412565.jpg?v=1761781185","url":"https:\/\/k12savings.com\/es\/products\/advanced-euclidean-geometry-isbn-9780470412565","provider":"K12savings","version":"1.0","type":"link"}