Exploring advanced Euclidean geometry with GeoGebra / Gerard A. Venema.

Exploring Advanced Euclidean Geometry with GeoGebra provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered includ...

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Bibliographic Details
Main Author: Venema, Gerard (Author)
Language:English
Published: Washington : Mathematical Association of America, 2013.
Series:Classroom resource materials.
Subjects:
Genre:
Online Access:
Physical Description:1 online resource (xv, 129 pages) : digital, PDF file(s).
Format: Electronic eBook

MARC

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505 0 |a A quick review of elementary Euclidean geometry -- The elements of geogebra -- The classical triangle centers -- Advanced techniques in geogebra -- Circumscribed, inscribed, and escribed circles -- The medial and orthic triangles -- Quadrilaterals -- The nine-point circle -- Ceva's theorem -- The theorem of Menelaus -- Circles and lines -- Applications of the theorem of Menelaus -- Additional topics in triangle geometry -- Inversions in circles -- The Poincaré disk. 
520 |a Exploring Advanced Euclidean Geometry with GeoGebra provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. 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 in geometry or as a standalone introduction to advanced topics in Euclidean geometry. 
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