# The Geometry of Vision
Start with the video below to get an overview of the big ideas for this chapter.
In our final chapter, we introduce a totally new *analytic* framework for approaching projective geometry, and use it to answer the long standing questions of *what changes* and *what stays the same* when we shift perspective. ## [Lecture 10: Examining the Cross Ratio](./lecture-10.html) ## [Lecture 11: The Real Projective Plane](./lecture-11.html) ## [Lecture 12: Transformations of the Real Projective Plane](./lecture-12.html)