The twenty-seven lines upon the cubic surface ... by Archibald Henderson.

CONTENTS PAGE HISTORICAL SUMMARY...... 1 INTRODUCTION....... 8 CHAP. I. PRELIMINARY THEOREMS...... 10 II. THE DOUBLE Six CONFIGURATION. AUXILIARY THEOREMS...... 13 III. THE TRIHEDRAL PAIR CONFIGURATION... 26 IV. ANALYTICAL INVESTIGATION OF THE TWENTY-SEVEN LINES AND FORTY-FIVE TRIPLE TANGENT PLANES FOR THE GENERAL EQUATION OF THE CUBIC SURFACE........ 43 V. THE CONSTRUCTION OF A MODEL OF A DOUBLE SIX 54 VI. THE CONSTRUCTION OF THE CONFIGURATIONS OF THE STRAIGHT LINES UPON THE TWENTY-ONE TYPES OF THE CUBIC SURFACE..... 58 VII. ON SOME CONFIGURATIONS ASSOCIATED WITH THE CONFIGURATIONS OF THE LINES UPON THE CUBIC SURFACE........ 83 BIBLIOGRAPHY....... 96 INTERSECTION TABLE.... To face p. 24 PLATES 1-13...... At End

/ 135
Pages

Actions

file_download Download Options Download this page PDF - Pages #1-20 Image - Page #1 Plain Text - Page #1

About this Item

Title
The twenty-seven lines upon the cubic surface ... by Archibald Henderson.
Author
Henderson, Archibald, 1877-1963.
Canvas
Page viewer.nopagenum
Publication
Chicago,
1915.
Subject terms
Surfaces, Cubic

Technical Details

Link to this Item
https://name.umdl.umich.edu/abr1416.0001.001
Link to this scan
https://quod.lib.umich.edu/u/umhistmath/abr1416.0001.001/8

Rights and Permissions

The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].

DPLA Rights Statement: No Copyright - United States

Manifest
https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:abr1416.0001.001

Cite this Item

Full citation
"The twenty-seven lines upon the cubic surface ... by Archibald Henderson." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abr1416.0001.001. University of Michigan Library Digital Collections. Accessed May 19, 2025.
Do you have questions about this content? Need to report a problem? Please contact us.