CONTENTS. 



PART I. 



PAGE 



Xo. I. Oil a Direct Method of estimating Velocities, Accelerations, and all similar 

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

 Applications. By R. B. Hayward, M.A., Fellow of St Johns College, 

 Reader in Natural Philosophy in the University of Durham 1 



II. On the question. What is the Solution, of a Differential Equation 1 A Sup- 

 plem.ent 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 tits Royal Astronomical Society, and 

 Professor of Mat/iematics 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. Donaldson, D.D., late Fellow of 

 Trinity College, Cambridge 84 



V. Of the Platonic Theory 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. U.S., Fellow of 

 Pembroke College, a i%d Lucasian Professor of Mathematics in the Univer- 

 sity of Cambridge 106 



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

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

 College, London 129 



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

 hearings. 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 Metliods 

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

 Geometrical Problems. By G. B. Airy, Esq., Astronomer Royal '. 166 



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 173 



XI. On the Status of Solon mentioned by jEschines 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 Cains 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 



examinaiion and extension of Cauchy' s Theorem on Iinaginary Roots, and 

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

 Mmirey. By Augustus De Morgan, F.R.A.S., of Trinity College, 



Professor of Mathematics in University College, London 261 



6 



