Twenty-Seven Lines Upon the Cubic Surface

Originally published in 1911 as number thirteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book presents a general survey of the problem of the 27 lines upon the cubic surface. Illustrative figures and a bibliography are also included. This book will be of value to anyone with an interest in cubic surfaces and the history of mathematics.

List of contents

Historical summary; Introduction; 1. Preliminary theorems; 2. The double six configuration. Auxiliary theorems; 3. The trihedral pair configuration; 4. Analytical investigation of the twenty-seven lines and forty-five triple tangent planes for the general equation of the cubric surface; 5. The construction of a model of a double six; 6. The construction of the configurations of the straight lines upon the twenty-one types of the cubric surface; 7. On some configurations associated with the configurations of the lines upon the cubric surface; Bibliography.

Summary

Originally published in 1911 as number thirteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book presents a general survey of the problem of the 27 lines upon the cubic surface. Illustrative figures and a bibliography are also included.

Product details

• Authors: Archibald Henderson, Henderson Archibald
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 26.03.2015
• EAN: 9781107493513
• ISBN: 978-1-107-49351-3
• No. of pages: 114
• Series: Cambridge Tracts in Mathematic; Cambridge Tracts in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / History & Philosophy, MATHEMATICS / Geometry / Algebraic, Algebraic Geometry, History of mathematics