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CAMBRIDGE

PHILOSOPHICAL SOCIETY.

ESTABLISHED NOVEMBER 15, 1819.

VOLUME THE TENTH.

CAMBRIDGE:

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DEIGHTON, BELL AND CO. AND MAOMILLAN AND CO. CAMBRIDGE; BELL AND DALDY, LONDON.

PAET I.

PAGE

No. I. 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, MA, Fellow of St John's College,

Reader in Natural Philosophy in the University of Durham 1

> II. 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 Matliematics in University College, London 21

III. On Faraday's Lines of Force. By J. Clerk Maxwell, B.A., Fellow of

Trinity College, Cambridge 27

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

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

Trinity College, Cambridge 84

V. Of the Platonic Tfieory of Ideas. By W. Whewell, D.D., Master of

Trinity College, Cambridge 94

VI. 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 105

VII. On the Beats of Imperfect Consonances. By Augustus De Morgan,

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

College, London 129

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

v' X 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 I7:i

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

Donaldson, D.D., Vice-President of the Society 231

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

Paget, M.D., F.R.C.P., late Fellow ofGonville and Cuius College 240

XIII. On Organic Polarity. By H. F. Baxter, Esq., M.R.C.S.L 248

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

examination and extension ofCauchy'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

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