A survey of the use of non-euclidean geometry in electrical engineering

✍ Scribed by E.Folke Bolinder

• Publisher: Elsevier Science
• Year: 1958
• Tongue: English
• Weight: 906 KB
• Volume: 265
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(58)90550-7

✦ Synopsis

An attempt is made to give a brief resumd of some of the non-Euclidean geometry models and some of their applications in electrical engineering. The survey starts with a discussion of diff cent two-dimensional and three-dimensional non-Euclidean geometry models, both of the hyperbolic and elliptic types. The interconnections of the two-dimensional models are studied geometrically and analytically by means of a simple impedance transformation example. The treatment is then formally extended to three-dimensional models. Finally, some applications of non-Euclidean geometry models in electrical engineering are discussed. An appendix gives a historical note on the evolution of non-Euclidean geometry.