OF THE

EDINBURGH

MATHEMATICAL SOCIETY

VOL. XXXVIII. (SESSION 1919-20)

London:

G. BELL & SONS, LTD., YORK HOUSE, PORTUGAL STREET

S1

NOTE.

The Society desires to acknowledge with hearty thanks the generous assistance of the Carnegie Trustees, who have defrayed the cost of printing the following papers :

INDEX TO PROCEEDINGS.

PAGE

SYLLABUS of Papers read during Session 1919-20

PRESENTS TO THE LIBRARY

GIBSON, Professor.

A Proof of the Binomial Theorem, with some

Applications.

LIST OF MEMBERS

V

vii

6

65

(1) Extension of Frenet's Formulae to a Curve in Flat

Space of n Dimensions

27

IO

20

(2) A Version of Hagen's Proof of the "Law of

Error"

24

OFFICE-BEARERS

RICHMOND, Herbert W., F.R.S.

A Geometrical Proof of Professor Morley's Extension
of Feuerbach's Theorem

2

34

Geometrical Proofs of the Trigonometrical Ratios

of 20 and 30.

54

Second Meeting, Friday, 12th December 1919.

1. A Proof of the Binomial Theorem, with some Applications .

2. Extension of Frenet's Formula to n Dimensions.

Prof. GIBSON.

3. Version of Hagen's Proof of the Law of Error

Dr R. F. MUIRHEAD.

Dr R. F. MUIRHEAD.

Third Meeting, Friday, 16th January 1920.

I. Note on the Polynomials which satisfy the Differential Equation

NEIL MACARTHUR.

2. The Slip Surface and Failure of Metal

in Tension

.

Dr E. M. HORSBURGH.

3. Geometrical Note on the Orthopole Dr R. F. Davis.

Fourth Meeting, Friday, 13th February 1920.

1. On the Modified Bessel Function K,(z) Dr T. M MẠCRobert.

3. Nomograms for Financial Formulae. W. A. BARCLAY.