Abstract
This chapter develops an alternative method of coordinating a metric affine plane, by embedding it into a projective plane, and using the orthogonality relation to define a matrix-representable transformation on the line at infinity. The construction will be central to our subsequent treatment of metric affine spaces of higher dimension, and its description now requires us to review a substantial body of additional ideas.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Goldblatt, R. (1987). Projective Transformations. In: Orthogonality and Spacetime Geometry. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6345-3_3
Download citation
DOI: https://doi.org/10.1007/978-1-4684-6345-3_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96519-2
Online ISBN: 978-1-4684-6345-3
eBook Packages: Springer Book Archive