The Theory of Ruled Surfaces

This 1931 book contains tables of quintic and sextic ruled surfaces, classified by their double curves and bitangent developables.

W. L. Edge (Author)

9781107689671, Cambridge University Press

Paperback / softback, published 30 June 2011

336 pages
24.6 x 18.9 x 1.8 cm, 0.6 kg

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.

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.

Subject Areas: Geometry [PBM]