The Five Types Of Projective Transformations Of The Plane
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The Five Types Of Projective Transformations Of The Plane
Author | : Henry Byron Newson |
Publisher | : Legare Street Press |
Total Pages | : 0 |
Release | : 2023-07-18 |
Genre | : |
ISBN | : 9781020624667 |
This mathematical text explores the different ways planes can be transformed in space using projective transformations. With clear explanations and helpful examples, this book is an essential read for any student of mathematics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Projective Transformations
Author | : P. S. Modenov |
Publisher | : Academic Press |
Total Pages | : 149 |
Release | : 2014-05-12 |
Genre | : Mathematics |
ISBN | : 1483261492 |
Geometric Transformations, Volume 2: Projective Transformations focuses on collinearity-preserving transformations of the projective plane. The book first offers information on projective transformations, as well as the concept of a projective plane, definition of a projective mapping, fundamental theorems on projective transformations, cross ratio, and harmonic sets. Examples of projective transformations, projective transformations in coordinates, quadratic curves in the projective plane, and projective transformations of space are also discussed. The text then examines inversion, including the power of a point with respect to a circle, definition and properties of inversion, and circle transformations and the fundamental theorem. The manuscript elaborates on the principle of duality. The manuscript is designed for use in geometry seminars in universities and teacher-training colleges. The text can also be used as supplementary reading by high school teachers who want to extend their range of knowledge on projective transformations.
Catalogue of Scientific Papers
Author | : Royal Society (Great Britain) |
Publisher | : |
Total Pages | : 1072 |
Release | : 1921 |
Genre | : Learned institutions and societies |
ISBN | : |