Vol. I.OCTOBER, 1892No. 2.
The
Kansas University
Quarterly
CONTENTS
| Unicursal Curves by Method of Inversion, | H. B. Newson |
| Foreign Settlements in Kansas, | W. H. Carruth |
| The Great Spirit Spring Mound, | R. H. S. Bailey |
| On Pascal’s Limaçon and the Cardioid, | H. C. Riggs |
| Dialect Word-List, | W. H. Carruth |
PUBLISHED BY THE UNIVERSITY
Lawrence, Kansas
Price of this number, 50 cents
Entered at the Post-office in Lawrence as Second-class matter.
COMMITTEE OF PUBLICATION
| E. H. S. BAILEY | F. W. BLACKMAR |
| W. H. CARRUTH | C. G. DUNLAP |
| E. MILLER | S. W. WILLISTON |
| V. L. KELLOGG, Managing Editor | |
Journal Publishing House
Lawrence, Kansas
1892
Kansas University Quarterly.
Vol. I.OCTOBER, 1892No. 2.
BY
HENRY BYRON NEWSON.
This paper contains a summary of the work done during the last schoolyear by my class in Modern Geometry. Since many of the results weresuggested or entirely wrought out by class-room discussion, it becomespractically impossible to assign to each member of the class hisseparate portion. Many of the results were contributed by Messrs. M. E.Rice, A. L. Candy, H. C. Riggs, and Miss Annie L. MacKinnon.
The reader who is not familiar with the method of Geometric Inversionshould read Townsend’s Modern Geometry, chapters IX and XXIV; or arecent monograph entitled, “Das Princep der Reziproken Radien,” by C.Wolff, of Erlangen.
When a conic is inverted from a point on the curve, the inverse curveis a nodal, circular cubic.
This is shown analytically as follows: let the equation of the conic bewritten
ax² + 2hxy + by² + 2gx + 2fy = 0 ;
which shows that th