Sidebilder
PDF
ePub

CAMBRIDGE: PRINTED BY W, METCALFE & SONS, TRINITY STREET, CORNER OF GREEN STREET.

THE

QUARTERLY JOURNAL

ОР

PURE AND APPLIED

MATHEMATICS.

EDITED BY

J. J. SYLVESTER, M.A., F.R.S.,
PROFESSOR OF MATHEMATICS IN THE ROYAL MILITARY ACADEMY,

WOOLWICH; AND

N. M. FERRERS, M.A.,
FELLOW AND TUTOR OF GONVILLE AND CAIUS COLLEGE, CAMBRIDGE:

ASSISTED BY

G. G. STOKES, M.A., F.R.S.,

,

LUCASIAN PROFESSOR OP MATHEMATICS IN THE UNIVERSITY OF CAMBRIDGE ;

A. CAYLEY, M.A., F.R.S.,
SADLBRIAN PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OP

CAMBRIDGE; AND

M. HERMITE,
CORRESPONDING EDITOR IN PARIS.

VOL. XI.

ότι ουσία προς γένεσιν, επιστημη προς πίστιν και διάνοια προς εικασίαι: έστι.

LONDON:
LONGMANS AND CO.,

PATERNOSTER ROW.

[ocr errors]

On the Evolutes of Cubic Curves. By Henry M. Jeffery

Note on a Relation between Two Circles. By Prof. Cayley

82

On the Porism of the In-and-Circumscribed Polygon, and the (2, 2)

Correspondence of Points on a Conic. By Prof. Cayley

83

Note on Rhizic Curves. By William Walton

91

On a Problem of Elimination. By Prof. Cayley

99

Equilibrium of One Heavy Rough Body on Another. By E. J. Routh 102

Moment of Inertia of a Quadrilateral. By E. J. Routh

109

On the Quartic Surfaces (*XU, V, W)? 0-continued. By Prof.

Cayley

111

On Axes of Lug and Axes of Kick. By William Walton

114

On the Algebra of Magic Squares. No. II. By Joseph Horner 123

Note on a System of Algebraical Equations. By Prof. Cayley

132

Electro-Dynamics. By Percival Frost

134

On the Evolute of Cubic Curves ---continued. By Henry M. Jeffery 145

On the Motion of Fluids-continued from Vol. x. p. 311. By Sir

James Cockle

156

A Demonstration of a Property of Elliptic Functions. By William

Walton

177

A Demonstration that every Equation has a Root. By William Walton 178

On Evolutes and Parallel Curves. By Prof. Cayley

183

On the Spoke Asymptotes of Rhizic Curves. By William Walton 200

The Deduction of Euler's Equations from the Lagrange Equations.

By W. H. Besant

203

The Small Oscillations of a Particle and of a Rigid Body. By

Robert Stawell Ball

206

Note on Osculating Curves. By Joseph Wolstenholme

210

Example of a Special Discriminant. By Prof. Cayley

211

On the Algebra of Magic Squares. Nt. III. By Joseph Horner 213

On Concyclic Conicoids. By Henry M. Jeffery

225

On the Envelope of a Certain Quadric Surface. By Prof. Cayley

Tables of the Binary Cubic Forms for the Negative Determinants,

= 0 (Mod. 4), from – 4 to – 400; and = 1 (Mod. 4), from – 3 to

– 99; and for five Irregular Negative Determinants. By

Prof. Cayley

246

On the Transformation of Two Simultaneous Equations. By William

Walton

262

On Riccati's Equation. By J. W. L. Glaisher

267

[ocr errors]
[ocr errors]

.

[ocr errors]

244

.

[ocr errors]
« ForrigeFortsett »