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 NinePoint Circle; The ninepoint circle; The ninepoint 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; Userdefined 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 PoincarĂ© Disk; The PoincarĂ© disk model for hyperbolic geometry; The hyperbolic straightedge 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Geometry, Modern.


Geometry.

Form 
Electronic book

LC no. 
2013938569 
ISBN 
1614441111 (electronic bk.) 

9781614441113 (electronic bk.) 
