OF THE

CAMBRIDGE

PHILOSOPHICAL SOCIETY.

ESTABLISHED NOVEMBER 15, 1819.

VOLUME THE TENTH.

STANFORD LIBRARY

CAMBRIDGE:

Printed at the University Press;

AND SOLD BY

DEIGHTON, BELL AND CO. AND MACMILLAN AND CO. CAMBRIDGE;

BELL AND DALDY, LONDON.

M.DCCC.LXIV.

Cambridge:

PRINTED BY C. J. CLAY, MA

AT THE UNIVERSITY PRESS

251786

PART I.

PAGE

No. I.

V II.

III.

IV.

V.

VI.

VII.

On a Direct Method of estimating Velocities, Accelerations, and all similar

Quantities with respect to Axes moveable in any manner in Space, with

Applications. By R. B. HAYWARD, M.A., Fellow of St John's College,

Reader in Natural Philosophy in the University of Durham....

On the question, What is the Solution of a Differential Equation? A Sup-

plement to the third section of a paper, On some points of the Integral

Calculus, printed in Vol. IX. Part II. By AUGUSTUS DE MORGAN, of

Trinity College, Vice-President of the Royal Astronomical Society, and

Professor of Mathematics in University College, London

On Faraday's Lines of Force. By J. CLERK MAXWELL, B.A., Fellow of

Trinity College, Cambridge

....

The Structure of the Athenian Trireme; considered with reference to certain

difficulties of interpretation. By J. W. DONALDSON, D.D., late Fellow of

Trinity College, Cambridge

Of the Platonic Theory of Ideas. By W. WHEWELL, D.D., Master of

Trinity College, Cambridge

On the Discontinuity of Arbitrary Constants which appear in Divergent

Developments. By G. G. STOKES, M.A., D.C.L., Sec. R.S., Fellow of

Pembroke College, and Lucasian Professor of Mathematics in the Univer-

sity of Cambridge

On the Beats of Imperfect Consonances. By AUGUSTUS DE MORGAN,

F.R.A S., of Trinity College, Professor of Mathematics in University

College, London

VIII. On the Genuineness of the Sophista of Plato, and on some of its philosophical

bearings. By W. H. THOMPSON, M.A., Fellow of Trinity College, and

Regius Professor of Greek..

146

IX.

On the Substitution of Methods founded on Ordinary Geometry for Methods

based on the General Doctrine of Proportions, in the Treatment of some

Geometrical Problems. By G. B. AIRY, Esq., Astronomer Royal..

166

On the Syllogism, No. III., and on Logic in general. By AUGUSTUS DE

MORGAN, F.R.A.S., of Trinity College, Professor of Mathematics in

University College, London

173

XI.

On the Statue of Solon mentioned by Eschines and Demosthenes. By J. W.

DONALDSON, D.D., Vice-President of the Society

231

XII.

Instances of remarkable Abnormities in the Voluntary Muscles. By G. E.

PAGET, M.D., F.R.C.P., late Fellow of Gonville and Caius College

240

248

XIII. On Organic Polarity. By H. F. BAXTER, Esq., M.R.C.S.L.

XIV. A Proof of the Existence of a Root in every Algebraic Equation: with an

examination and extension of Cauchy's Theorem on Imaginary Roots, and

Remarks on the Proofs of the existence of Roots given by Argand and by

Mourey. By AUGUSTUS DE MORGAN, F.R.A.S., of Trinity College,'

Professor of Mathematics in University College, London.

261

b