CONTENTS. 



PART III. 



N°. XVIII. 



XIX. 

 XX. 



XXI. 

 XXII. 



XXIII. 



XXIV. 

 XXV. 



XXVI. 

 XXVII. 



XXVIII. 



XXIX. 



XXX. 



PAGE 



On the Foundation of Algebra, No. IV., oii Trifle Algebra : by Augustus 

 De Morgan, Esq., V.P.R.A.S., F.C.P.S., of Trinity College; Professor 

 of Mathematics in University College, London 241 



On the Values of the Sine and Cosine of an Infinite Angle: by S. Eahnshaw, 

 M.A., of St John's College, Cambridge 255 



On the Connexion between the Sciences of Mtchanics and Geometry : by 

 the Rev. H. Goodwin, Fellow of Caius College, and of the Cambridge 

 Philosophical Society 269 



On the Pure Science of Magnitude and Direction: by the Rev. H. Goodwin, 

 Fellow of Caius College, and of the Cambridge Philosophical Society 278 



On the Theories of the Internal Friction of Fluids in Motion, and of the 

 Equilibrium and Motion of Elastic Solids : by G. G. Stokes, M.A., 

 Fellow of Pembroke College, Cambridge 287 



Calculations of the Heights of the Aurora; Boreales, of the 17th September 

 and 12th October, 1833; with Observations upon the Locality of the 

 Meteor: by Richard Potter, M.A., late Felloiv of Queens' College, 

 Cambridge, and Professor of Natural Philosophy and Astronomy, Uni- 

 versity College, London 320 



The Mathematical Theory of the two great Solitary Waves of the First 

 Order : by S. Earnshaw, M.A., of St John's College, Cambridge 326 



On the Geometrical Representation of the Roots of Algebraic Equatiotis: 

 by the Rev. H. Goodwin, late Fellow of Caius College, and Fellow 

 of the Cambridge Philosophical Society 342 



Oh a Change in the State of an Eye affected nith a Malformation : by 

 G. B. Airy, Esq., Astronomer Royal 361 



A Theory of Luminous Rays on the Hypothesis of Undulations : by the 

 Rev. J. Challis, M.A., Plumian Professor of Astronomy and Experi- 

 mental Philosophy in the University of Cambridge 363 



A Theory of the Polarization of Light on the Hypothesis of Undulations: 

 by the Rev. J. Challis, M.A., Plumian Professor of Astronomy and 

 Experimental Philosophy in the University of Cambridge 371 



Oyi the Structure of the Syllogism, and on the Application of the Theory 

 of Probabilities to Questions of Argument and Authority: by Augustus 

 De Morgan, Sec. R.A.S., of Trinity College ; Professor of Mathematics 

 in University College, London 379 



Supplement to a Memoir On some Cases of Fluid Motion : by George G. 

 Stokes, M.A., Fellow of Pembroke College, Cambridge 409 



