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Exploring advanced Euclidean geometry with geogebra /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
[Place of publication not identified] :
Mathematical Association of America,
2013.
|
| Colección: | Classroom resource materials.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 010 | |z 2013938569 | ||
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| 100 | 1 | |a Venema, Gerard. | |
| 245 | 1 | 0 | |a Exploring advanced Euclidean geometry with geogebra / |c Gerard A. Venema. |
| 260 | |a [Place of publication not identified] : |b Mathematical Association of America, |c 2013. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Classroom Resource Materials | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a Common perpendicularsThe hyperbolic compass; Other hyperbolic tools; Triangle centers in hyperbolic geometry; References; Index; About the Author. | |
| 504 | |a Includes bibliographical references and index. | ||
| 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. | ||
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Geometry, Modern. | |
| 650 | 0 | |a Geometry. | |
| 650 | 6 | |a Géométrie moderne. | |
| 650 | 6 | |a Géométrie. | |
| 650 | 7 | |a geometry. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Geometry |2 fast | |
| 650 | 7 | |a Geometry, Modern |2 fast | |
| 758 | |i has work: |a Exploring Advanced Euclidean Geometry with GeoGebra (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFxMw6XbFpXRKfQbwk94bd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Venema, Gerard A. |t Exploring advanced euclidean geometry with geogebra. |d [S.l.] : Mathematical Assn America, 2013 |z 0883857847 |w (OCoLC)846889721 |
| 830 | 0 | |a Classroom resource materials. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3330337 |z Texto completo |
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