1894.] Elliott Prize fur Scientific Research. 35 



(2.) Babu .Tnan Savan Chakravai-ti, Student, Presidency College : — ■ 



A chapter on the general equation of the second degree. 

 (3.) Babu Brajendranath Seal, M. A., Principal, Bei'hampore College. 

 New methods of determining some fundamental definite 

 integrals, being a chapter in the integi-al calculus ; 

 with an introductory section containing new formulae 

 for the summation of series, together with their 

 applications. 

 (4.) " S. L. S." Student, Presidency College :— 



A deduction of the properties of prime and composite 

 numbers from those of recurring decimals and their 

 equivalents in other scales of notation. 

 (5.) Babu Chandi'a Kanta Basu (Sub-Overseer, Madaripur) : — 



Mathematical investigations, and their practical applica- 

 tions, if possible, for the determination of a sound- 

 generating spot, where sonorous vibrations commence 

 and afterwards produce the sensation of sound, from 

 the data of observed differences of times in which 

 the same report is heard from several places fixed in 

 position. 

 The Trustees, after consulting experts, as provided in the scheme, 

 adjudge the prize for the year 1893, to Babu Chandra Kanta Basu, 

 Sub-Overseer, Madaripur (No. 5, in the foregoing list.) 



C. A. Elliott. 



A. Croft. i ^"''^'''- 



Calcutta^ the Zlst January, 1894. 



The President also read a short account of Babu Chandrakanta 

 Basu's paper, kindly furnished by Mr. A. M. Nash. 



Some years ago a Committee was appointed by the Asiatic Society of 

 Bengal, to investigate the causes of the natural phenomenon commonly 

 known as the " Barisal Guns ", but owing to the insufficiency of the 

 information on the subject, no definite conclusion could be arrived at. 

 It is clear that if the spot from which the sounds originate could be 

 accurately determined, the difficulty of the investigation would be 

 materially lessened, and this is the problem which the writer has 

 attempted to solve. The principle upon which he has based his solution 

 is the following : — 



Assuming that the velocity of sound is known and constant, 

 if the same sound is heard at two different places, the difference 

 between the distances of those places from the spot where the 

 sound originated can be calculated, being equal to the velocity of sound 



