The Theory of Ruled Surfaces

Erscheinungsjahr 2011
ISBN: 978-1-107-68967-1
Verlag: Cambridge University Press

Buch, Englisch, 336 Seiten, Format (B × H): 189 mm x 246 mm, Gewicht: 652 g

A table of the different types of quartic ruled surfaces in three-dimensional space was published by Cremona in 1868. The corresponding tables of quintic and sextic ruled surfaces (classified by means of their double curves and bitangent developables) are presented in this book, first published in 1931. The results are obtained by two different methods which confirm the workings of one another in a very striking way. Correspondence theory and higher space are used throughout and properties of several interesting curves and loci are investigated.

Autoren/Hrsg.

Edge, W. L.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Euklidische Geometrie
• Mathematik | Informatik Mathematik Geometrie Geometrie der modernen Physik
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

Preface; 1. Introductory; 2. Quartic ruled surfaces; 3. Quintic ruled surfaces; 4. Sextic ruled surfaces; 5. Developable surfaces; 6. Sextic ruled surfaces (continued); Tables shewing the different types of ruled surfaces in 3 up to and including those of the sixth order; Note: the intersections of two curves on a ruled surface.