Chapter

3. What’s the Image of a Line?

Annalisa Crannell , Marc Frantz and Fumiko Futamura

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Perspective and Projective Geometry

This chapter is in the book Perspective and Projective Geometry

© 2019 Princeton University Press, Princeton

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© 2019 Princeton University Press, Princeton

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Chapters in this book

Frontmatter i
Contents v
0. Introduction and First Action 1
1. Window Taping 11
2. Drawing ART 25
3. What’s the Image of a Line? 33
4. The Geometry of R² and R³ 43
5. Extended Euclidean Space 63
6. Of Meshes and Maps 75
7. Desargues’s Theorem 91
8. Collineations 117
9. Dynamic Cubes and Viewing Distance 145
10. Drawing Boxes and Cubes in Two-Point Perspective 157
11. Perspective by the Numbers 171
12. Coordinate Geometry 211
13. The Shape of Extended Space 225
Appendix G. Introduction to GEOGEBRA 237
Appendix R. Reference Manual 245
Appendix W. Writing Mathematical Prose 259
Acknowledgments 273
Bibliography 275
Index 279

https://doi.org/10.1515/9780691197388-004

Chapters in this book

Frontmatter i
Contents v
0. Introduction and First Action 1
1. Window Taping 11
2. Drawing ART 25
3. What’s the Image of a Line? 33
4. The Geometry of R² and R³ 43
5. Extended Euclidean Space 63
6. Of Meshes and Maps 75
7. Desargues’s Theorem 91
8. Collineations 117
9. Dynamic Cubes and Viewing Distance 145
10. Drawing Boxes and Cubes in Two-Point Perspective 157
11. Perspective by the Numbers 171
12. Coordinate Geometry 211
13. The Shape of Extended Space 225
Appendix G. Introduction to GEOGEBRA 237
Appendix R. Reference Manual 245
Appendix W. Writing Mathematical Prose 259
Acknowledgments 273
Bibliography 275
Index 279

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