CONTENTS 



VOLUME III. 



Part I. 



i>/ 



N°. I. On the Spherical Aberration of the Eye-pieces of Telescopes : by 



G. B. Airy, Esq. M.A 1 



II. On Algebraic Notation: by Thomas Jaeeett, Esq. B.A 6.5 



III. On the Disturbances of Pendulums and Balances, and on the 



Theory of Escapements, by G. B. Aiky, Esq. M.A 105 



IV. On the Pressure produced on a flat Plate ivhen opposed to a Stream 



of Air issuing from an Oriflce in a plane Surface: by the 

 Rev. RoBEET Willis, B.A 129 



V. On the Calculation of Annuities, and on some Questions in the 



Theory of Chances: by J. W. Lubbock, Esq. B.A 141 



Tables I. to XI. after 154 



VI. On the Longitude of the Cambridge Observatory : by G. B. Aiey, 



Esq. M.A. Plumian Professor 1.55 



Vir On the Extension of Bode''s Empirical Law of the Distances of the 

 Planets from the Sun to the Distances of the Satellites from 

 their respective Primaries: by James Challis, Esq. M.A I7I 



VIII. On the Focus of a Conic Section: by Pieece Moeton, Esq. B.A. 185 



IX. Mathematical Exposition of some Doctrines of Political Economy: 



by «Ae Rev. W. Whewell, M.A. F.R.S 191 



Notes and Corrections 229 



X. On the Vowel Sounds, and on Reed Organ-Pipes : by the Rev. 



R. Willis, M.A 231 



Appendix 263 



XI. On the Theory of the Small Vibratory Motions of Elastic Fluids: 



by James Challis, Esq. M.A 269 



XII. On the Comparison of Various Tables of Annuities: by J. W. Lub- 

 bock, Esq. B.A. F.R. & L.S 321 



Tables I. to XII. after 326 



