{"product_id":"exploring-advanced-euclidean-geometry-with-geogebra-hardback-9780883857847","title":"Exploring Advanced Euclidean Geometry with GeoGebra (Hardback) 9780883857847","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eExploring Advanced Euclidean Geometry with GeoGebra\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn enquiry-based introduction to Euclidean geometry that uses the geometry program GeoGebra to explore many advanced results in the subject.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eGerard A. Venema (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780883857847, The Mathematical Association of America\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 10 October 2013\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e186 pages\u003cbr\u003e26 x 18.2 x 1.3 cm, 0.42 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book provides an enquiry-based introduction to advanced Euclidean geometry. It utilises the dynamic geometry program GeoGebra to explore many of the most interesting theorems in the subject. Topics covered include triangle centres, inscribed, circumscribed and escribed circles, medial and orthic triangles, the nine-point circle, the theorems of Ceva and Menelaus, and many applications. The final chapter explores constructions in the Poincaré disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course or as a stand-alone introduction to advanced topics in Euclidean geometry. The exposition consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. The ideas are first explored at the computer and then assembled into a proof of the result under investigation, allowing readers to experience the joy of discovery and develop a deeper appreciation for the subject.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eA quick review of elementary Euclidean geometry\u003cbr\u003e 1. The elements of GeoGebra\u003cbr\u003e 2. The classical triangle centers\u003cbr\u003e 3. Advanced techniques in GeoGebra\u003cbr\u003e 4. Circumscribed, inscribed, and escribed circles\u003cbr\u003e 5. The medial and orthic triangles\u003cbr\u003e 6. Quadrilaterals\u003cbr\u003e 7. The nine-point circle\u003cbr\u003e 8. Ceva's theorem\u003cbr\u003e 9. The theorem of Menelaus\u003cbr\u003e 10. Circles and lines\u003cbr\u003e 11. Applications of the theorem of Menelaus\u003cbr\u003e 12. Additional topics in triangle geometry\u003cbr\u003e 13. Inversions in circles\u003cbr\u003e 14. The Poincaré disk.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Euclidean geometry [\u003ca title=\"See our other books on Euclidean geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Euclidean%20geometry%20%5BPBMH%5D%22\"\u003ePBMH\u003c\/a\u003e], Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e], Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"The Mathematical Association of America","offers":[{"title":"Brand New","offer_id":52515902062872,"sku":"9780883857847","price":37.29,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/freshlyprintedbooks.co.uk\/products\/exploring-advanced-euclidean-geometry-with-geogebra-hardback-9780883857847","provider":"Freshly Printed Books","version":"1.0","type":"link"}