CONTENTS. XI 



neous Pressure. By Charles Bonnycastle, Professor of Mathematics in the University 



of Virginia. - - - - - - - - - -113 



ARTICLE XII. 



On the Storm which was experienced throughout the United States about the 20th of De- 

 cember, 1836. By Elias Loomis, Professor of Mathematics and Natural Philosophy in 

 Western Reserve College. - - - -- - - - 125 



ARTICLE XIII. 



Observations on Nebulae with a Fourteen Feet Reflector, made by H. L. Smith and E. P. 



Mason, during the year 1839. By E. P. Mason. - - - - - 165 



ARTICLE XIV. 



Engraving and Description of an Apparatus, and Process, for the rapid Congelation of Water, 

 by the explosive Evolution of Ethereal Vapour, consequent to the combined influence of 

 Rarefaction and the absorbing Power of Sulphuric Acid. By Robert Hare, M. D. - 215 



ARTICLE XV. 



On the Insufliciency of Taylor's Theorem as commonly investigated; with Objections to 

 the Demonstrations of Poisson and Cauchy, and the assumed Gener^alization of Mr. Pea- 

 cock ; to which are added a new Investigation and Remarks on the Development and 

 Continuity of Functions. By Charles Bonnycastle, Professor of Mathematics in the 

 University of Virginia. --------- 217 



ARTICLE XVI. 



Notice of the Oolitic Formation in America, with Descriptions of some of its Organic Re- 

 mains. By Isaac Lea. - - - - - - - -251 



ARTICLE XVII. 



Observations to determine the horizontal Magnetic Intensity and Dip at LouisviUe, Ken- 

 tucky, and at Cincinnati, Ohio. By John Locke, M. D., Professor of Chemistry in the 

 Medical College of Ohio. .--..... 261 



