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.
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Illustrationen
Worked examples or Exercises
Maße
Höhe: 246 mm
Breite: 189 mm
Dicke: 18 mm
Gewicht
ISBN-13
978-1-107-68967-1 (9781107689671)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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.
