| Description |
1 online resource. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Classroom Resource Materials
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Classroom resource materials.
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| 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 |
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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 |
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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 |
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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 |
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Common perpendicularsThe hyperbolic compass; Other hyperbolic tools; Triangle centers in hyperbolic geometry; References; Index; About the Author |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Geometry, Modern.
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Geometry, Modern. |
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Geometry.
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Geometry. |
| Genre/Form |
Electronic books.
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Electronic books.
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| Other Form: |
Print version: Venema, Gerard A. Exploring advanced euclidean geometry with geogebra. [S.l.] : Mathematical Assn America, 2013 0883857847 (OCoLC)846889721 |
| ISBN |
9781614441113 (electronic book) |
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1614441111 (electronic book) |
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0883857847 |
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9780883857847 |
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