CONTENTS. 



SCIENCE. 



Page 



I. AN Explanation of the Method of Adjustment of the 



JRac.k Horizon Glass of Hadleys Quadrant, by two 

 near objects; also a Description of a Projected Ad- 

 dition to the Quadrant for refecting that Adjustment, 

 according to the Method of Mr. Blair. By the Rev. 

 James Little. - - .'3 



II. Two proofs of the Binomial Theorem^ by the Rev. 



Samuel Vince, A. M. F. R. S. Flumian Professor of 

 Astronomy and Experimental Philosophy, in the Uni- 

 versity of Cambridge. — Communicated by the Rev. J. 

 Brinkley - - 31 



III. On certain Properties of Numbers, by the Rev. Samuel 

 Vince, A. M. F. R. S. and Plumian Professor of As- 

 stronojny in the University of Cambridge. — Communi- 

 cated by the Rev. J. Brinkley - 31 



IV. An Account of a very remarkable Water Spout, which 

 appeared at Ramsgate, July Kith, 1810, — by the Rev, 

 S. Vince, A. M. F. R. S. Plumian Professor of Astro- 

 nonu) in the University of Cambridge. Communicated 



by the Rev. J. Brinkley - - -29 



b . . ' 



