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A complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic. Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry.
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A complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic.
Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Produktdetails
- Produktdetails
- Verlag: Springer, Berlin
- Artikelnr. des Verlages: 10981696
- 2005 edition
- Seitenzahl: 342
- Erscheinungstermin: 5. Januar 2005
- Englisch
- Abmessung: 241mm x 159mm x 25mm
- Gewicht: 808g
- ISBN-13: 9781852338343
- ISBN-10: 1852338342
- Artikelnr.: 13932030
- Verlag: Springer, Berlin
- Artikelnr. des Verlages: 10981696
- 2005 edition
- Seitenzahl: 342
- Erscheinungstermin: 5. Januar 2005
- Englisch
- Abmessung: 241mm x 159mm x 25mm
- Gewicht: 808g
- ISBN-13: 9781852338343
- ISBN-10: 1852338342
- Artikelnr.: 13932030
John Vince, Bournemouth University, Ringwood, UK
1 GEOMETRY
1.1 Lines, angles and trigonometry
1.2 Circe
1.3 Triangle
1.4 Quadrilaterals
1.5 Polygon
1.6 Three-dimensional objects
1.7 Coordinate systems
1.8 Vectors
1.9 Quaternions
1.10 Transformations
1.11 2D Straight line
1.12 Lines and circles
1.13 Second degree curves
1.14 3D Straight line
1.15 The plane
1.16 Line, plane and sphere
1.17 3D Triangle
1.18 Parametric curves and patches
1.19 Second-degree surfaces in standard form
2 EXAMPLES
2.1 Trigonometry
2.2 Circe
2.3 Triangle
2.4 Quadrilateral
2.5 Polygon
2.6 Three-dimensional objects
2.7 Coordinate systems
2.8 Vectors
2.9 Quaternions
2.10 Transformations
2.11 2D Straight line
2.12 Lines and a circle
2.13 Second degree curves
2.14 3D Straight line
2.15 The plane
2.16 Line, plane and sphere
2.17 3D Triangle
2.18 Parametric curves and patches
2.19 Second-degree surfaces in standard form
3 PROOFS
3.1 Trigonometry
3.2 Circle
3.3 Triangle
3.4 Quadrilateral
3.5 Polygon
3.6 Three-dimensional objects
3.7 Coordinate systems
3.8 Vectors
3.9 Quaternions
3.10 Transformations
3.12 Lines and circles
3.13 Second degree curves
3.14 3D Straight line
3.15 The plane
3.16 Line, plane and sphere
3.17 3D Triangle
3.18 Parametric curves and patches
4 GLOSSARY
5 BIBLIOGRAPHY
1.1 Lines, angles and trigonometry
1.2 Circe
1.3 Triangle
1.4 Quadrilaterals
1.5 Polygon
1.6 Three-dimensional objects
1.7 Coordinate systems
1.8 Vectors
1.9 Quaternions
1.10 Transformations
1.11 2D Straight line
1.12 Lines and circles
1.13 Second degree curves
1.14 3D Straight line
1.15 The plane
1.16 Line, plane and sphere
1.17 3D Triangle
1.18 Parametric curves and patches
1.19 Second-degree surfaces in standard form
2 EXAMPLES
2.1 Trigonometry
2.2 Circe
2.3 Triangle
2.4 Quadrilateral
2.5 Polygon
2.6 Three-dimensional objects
2.7 Coordinate systems
2.8 Vectors
2.9 Quaternions
2.10 Transformations
2.11 2D Straight line
2.12 Lines and a circle
2.13 Second degree curves
2.14 3D Straight line
2.15 The plane
2.16 Line, plane and sphere
2.17 3D Triangle
2.18 Parametric curves and patches
2.19 Second-degree surfaces in standard form
3 PROOFS
3.1 Trigonometry
3.2 Circle
3.3 Triangle
3.4 Quadrilateral
3.5 Polygon
3.6 Three-dimensional objects
3.7 Coordinate systems
3.8 Vectors
3.9 Quaternions
3.10 Transformations
3.12 Lines and circles
3.13 Second degree curves
3.14 3D Straight line
3.15 The plane
3.16 Line, plane and sphere
3.17 3D Triangle
3.18 Parametric curves and patches
4 GLOSSARY
5 BIBLIOGRAPHY
From the contents:
Geometry.- Lines, angles and trigonometry.- Circe.- Triangle.- Quadrilaterals.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and circles.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Examples.- Trigonometry.- Circe.- Triangle.- Quadrilateral.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and a circle.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Proofs.- Glossary.
Geometry.- Lines, angles and trigonometry.- Circe.- Triangle.- Quadrilaterals.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and circles.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Examples.- Trigonometry.- Circe.- Triangle.- Quadrilateral.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and a circle.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Proofs.- Glossary.
1 GEOMETRY
1.1 Lines, angles and trigonometry
1.2 Circe
1.3 Triangle
1.4 Quadrilaterals
1.5 Polygon
1.6 Three-dimensional objects
1.7 Coordinate systems
1.8 Vectors
1.9 Quaternions
1.10 Transformations
1.11 2D Straight line
1.12 Lines and circles
1.13 Second degree curves
1.14 3D Straight line
1.15 The plane
1.16 Line, plane and sphere
1.17 3D Triangle
1.18 Parametric curves and patches
1.19 Second-degree surfaces in standard form
2 EXAMPLES
2.1 Trigonometry
2.2 Circe
2.3 Triangle
2.4 Quadrilateral
2.5 Polygon
2.6 Three-dimensional objects
2.7 Coordinate systems
2.8 Vectors
2.9 Quaternions
2.10 Transformations
2.11 2D Straight line
2.12 Lines and a circle
2.13 Second degree curves
2.14 3D Straight line
2.15 The plane
2.16 Line, plane and sphere
2.17 3D Triangle
2.18 Parametric curves and patches
2.19 Second-degree surfaces in standard form
3 PROOFS
3.1 Trigonometry
3.2 Circle
3.3 Triangle
3.4 Quadrilateral
3.5 Polygon
3.6 Three-dimensional objects
3.7 Coordinate systems
3.8 Vectors
3.9 Quaternions
3.10 Transformations
3.12 Lines and circles
3.13 Second degree curves
3.14 3D Straight line
3.15 The plane
3.16 Line, plane and sphere
3.17 3D Triangle
3.18 Parametric curves and patches
4 GLOSSARY
5 BIBLIOGRAPHY
1.1 Lines, angles and trigonometry
1.2 Circe
1.3 Triangle
1.4 Quadrilaterals
1.5 Polygon
1.6 Three-dimensional objects
1.7 Coordinate systems
1.8 Vectors
1.9 Quaternions
1.10 Transformations
1.11 2D Straight line
1.12 Lines and circles
1.13 Second degree curves
1.14 3D Straight line
1.15 The plane
1.16 Line, plane and sphere
1.17 3D Triangle
1.18 Parametric curves and patches
1.19 Second-degree surfaces in standard form
2 EXAMPLES
2.1 Trigonometry
2.2 Circe
2.3 Triangle
2.4 Quadrilateral
2.5 Polygon
2.6 Three-dimensional objects
2.7 Coordinate systems
2.8 Vectors
2.9 Quaternions
2.10 Transformations
2.11 2D Straight line
2.12 Lines and a circle
2.13 Second degree curves
2.14 3D Straight line
2.15 The plane
2.16 Line, plane and sphere
2.17 3D Triangle
2.18 Parametric curves and patches
2.19 Second-degree surfaces in standard form
3 PROOFS
3.1 Trigonometry
3.2 Circle
3.3 Triangle
3.4 Quadrilateral
3.5 Polygon
3.6 Three-dimensional objects
3.7 Coordinate systems
3.8 Vectors
3.9 Quaternions
3.10 Transformations
3.12 Lines and circles
3.13 Second degree curves
3.14 3D Straight line
3.15 The plane
3.16 Line, plane and sphere
3.17 3D Triangle
3.18 Parametric curves and patches
4 GLOSSARY
5 BIBLIOGRAPHY
From the contents:
Geometry.- Lines, angles and trigonometry.- Circe.- Triangle.- Quadrilaterals.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and circles.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Examples.- Trigonometry.- Circe.- Triangle.- Quadrilateral.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and a circle.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Proofs.- Glossary.
Geometry.- Lines, angles and trigonometry.- Circe.- Triangle.- Quadrilaterals.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and circles.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Examples.- Trigonometry.- Circe.- Triangle.- Quadrilateral.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and a circle.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Proofs.- Glossary.