N. M. FERRERS, M.A., F.R.S.,

FELLOW AND TUTOR OF GONVILLE AND CAIUS COLLEGE, CAMBRIDGE;

A. CAYLEY, M.A., F.R.S.,

SADLERIAN PROFESSOR OF PURE MATHEMATICS IN THE UNIVERSITY OF
CAMBRIDGE; AND

J. W. L. GLAISHER, M.A., F.R.S.,

FELLOW OF TRINITY COLLEGE, CAMBRIDGE.

VOL. XVIII.

London:

LONGMANS AND CO.,

PATERNOSTER ROW.

1882.

135.22 Sci 890.42

1881, Jerry 9 - 1852, July 7,

و

CAMBRIDGE:

PRINTED BY W. METCALFE AND SON, TRINITY STREET.

CONTENTS TO VOL. XVIII.

PAGE

On Plane Curves of the Fourth Class with Quadruple Foci. By Henry M.

Jeffery

1

41

Supplementary Notes on a Differential Equation. By the Rev. R. Harley

On Professor Cayley's Theorem regarding a Bordered Skew Symmetric

Determinant. By Thomas Muir

On Harmonically Circuminscribed Conics. By C. Taylor

On the Jacobian Sextic Equation. By Prof. A. Cayley

dz

Reduction of the Elliptic Integrals (231) √(23 — 63)

46

50

52

66

73

74

to Jacobi's Functions. By A. G. Greenhill

Property of a Quartic Curve with Three Double Points. By N. M. Ferrers -

Formulæ in the Theory of Equations. By Christopher Hudson

On the Twenty-seven Lines, the Forty-five Triple Tangent Planes, and the

Thirty-six Double Sixers of a Cubic Surface, with a Hint for the Con-

struction of Models which give the position of the Lines when they

are all Real. By the Rev. P. Frost

On the Distribution of Electricity on a Bowl, By N. M. Ferrers

A List of Writings on Determinants. By Thomas Muir

On Biangular Coordinates. By R. W. Genese

A Solvible Case of the Quintic Equation. By Prof. A. Cayley

On the Stapete Points of Class-Quartics with Quadruple Foci. By Henry M.

Jeffery

158

On New and Recently Discovered Properties of Certain Symmetric Deter-

minants. By Thomas Muir

166

Homogeneous Coordinates in Imaginary Geometry and their Application to

Systems of Forces. By Homersham Cox