THE QUARTERLY JOURNAL OF PURE

AND APPLIED MATHEMATICS.

CAMBRIDGE:

PRINTED BY W. METCALFE, GREEN STREET.

THE

QUARTERLY JOURNAL

OF

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 OF GONVILLE AND CAIUS COLLEGE, CAMBRIDGE:

ASSISTED BY

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

LUCASIAN PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF CAMBRIDGE;

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

LATE FELLOW OF TRINITY COLLEGE, CAMBRIDGE; AND

M. HERMITE,

CORRESPONDING EDITOR IN PARIS.

VOL. V.

ὅ τι οὐσία πρὸς γένεσιν, ἐπιστημὴ πρὸς πίστιν καὶ διάνοια πρὸς εἰκασίαν ἔστι,

LONDON:

JOHN W. PARKER, SON, & BOURN, WEST STRAND.

1862.