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Book Cover
Author Venema, Gerard.

Title Exploring advanced Euclidean geometry with geogebra / Gerard A. Venema
Published [Place of publication not identified] : Mathematical Association of America, 2013
Online access available from:
ProQuest Ebook Central Subscription Collection    View Resource Record  
EBSCO eBook Academic Collection    View Resource Record  


Description 1 online resource
Series Classroom Resource Materials
Classroom resource materials.
Contents Cover ; copyright page ; title page ; Preface; Contents; A Quick Review of Elementary Euclidean Geometry; Measurement and congruence; Angle addition; Triangles and triangle congruence conditions; Separation and continuity; The exterior angle theorem; Perpendicular lines and parallel lines; The Pythagorean theorem; Similar triangles; Quadrilaterals; Circles and inscribed angles; Area; The Elements of GeoGebra; Getting started: the GeoGebra toolbar; Simple constructions and the drag test; Measurement and calculation; Enhancing the sketch; The Classical Triangle Centers; Concurrent lines
Common perpendicularsThe hyperbolic compass; Other hyperbolic tools; Triangle centers in hyperbolic geometry; References; Index; About the Author
Convex and crossed quadrilateralsCyclic quadrilaterals; Diagonals; The Nine-Point Circle; The nine-point circle; The nine-point center; Feuerbach's theorem; Ceva's Theorem; Exploring Ceva's theorem; Sensed ratios and ideal points; The standard form of Ceva's theorem; The trigonometric form of Ceva's theorem; The concurrence theorems; Isotomic and isogonal conjugates and the symmedian point; The Theorem of Menelaus; Duality; The theorem of Menelaus; Circles and Lines; The power of a point; The radical axis; The radical center; Applications of the Theorem of Menelaus
Medians and the centroidAltitudes and the orthocenter; Perpendicular bisectors and the circumcenter; The Euler line; Advanced Techniques in GeoGebra; User-defined tools; Check boxes; The Pythagorean theorem revisited; Circumscribed, Inscribed, and Escribed Circles; The circumscribed circle and the circumcenter; The inscribed circle and the incenter; The escribed circles and the excenters; The Gergonne point and the Nagel point; Heron's formula; The Medial and Orthic Triangles; The medial triangle; The orthic triangle; Cevian triangles; Pedal triangles; Quadrilaterals; Basic definitions
Tangent lines and angle bisectorsDesargues' theorem; Pascal's mystic hexagram; Brianchon's theorem; Pappus's theorem; Simson's theorem; Ptolemy's theorem; The butterfly theorem; Additional Topics in Triangle Geometry; Napoleon's theorem and the Napoleon point; The Torricelli point; van Aubel's theorem; Miquel's theorem and Miquel points; The Fermat point; Morley's theorem; Inversions in Circles; Inverting points; Inverting circles and lines; Othogonality; Angles and distances; The Poincaré Disk; The Poincaré disk model for hyperbolic geometry; The hyperbolic straightedge
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Geometry, Modern.
Form Electronic book
LC no. 2013938569
ISBN 1614441111 (electronic bk.)
9781614441113 (electronic bk.)