192 



application to Geometry. By Washington M'Cartney, Esq. 

 Philadelphia, 1644. 8vo. — From the Autho?\ 



ADDITIONS TO THE IIBRAEY BY PURCHASE. 



Histoire Naturelle des Poissons. Par M. le Baron Cuvier et M.A. 

 Valenciennes. Tome Dix-septieme. Paris 1844. 4to. Blanches. 

 No. 456 a 487. 



Annales de Chimie et de Physique. Troisieme Serie. Annee 

 1844-5. Tomes X. XI. XII. XIII. XIV. No. for May. 8vo. 



Comptes Rendus Hebdomadaires des Seances de I'Academie des Sci- 

 ences. Tome XX. Nos. 1 to 24, inclusive. Paris, 1845. 4to. 



Astronomische Nachrichten. Nos. 542, 543, 544. 4to. 



The Committee to whom was referred Mr. M'llvaine's 

 Memoir upon a New Civil and Ecclesiastical Calendar, reported 

 in favour of its publication in the Transactions, which, upon 

 motion of Mr. Kane, was ordered accordingly. 



Mr. M'llvaine's Calendar consists of a central column headed 

 " Eras," accompanied by tvi^o series of secular equations, by means 

 of which, and of two small ancillary tables, he has been enabled to 

 reduce to identical terms, his formulse for finding in both styles and 

 through a vast range of time, the day of the week in the Civil Calen- 

 dar, and the Annual Epact, with Easter deduced from it, in the 

 Ecclesiastical. After noticing the simplifications of the Calendar, 

 effected within the last half century by the analytical methods of 

 Gauss and Delambre, Mr. M'llvaine proceeds to demonstrate the rule 

 of his own Civil Calendar, and to explain the principles upon which 

 Table B, containing numbers for the respective months, was formed. 

 Having thus proved that no necessity exists for the use of Dominical 

 letters in the Julian Calendar, since the same object may be attained 

 in an easier way through the Solar Equation 5, standing in column 

 A, opposite to the Julian Era, he goes on to show that, with the aid 

 Sf table B, a similar device may be equally well adapted to the 

 Gregorian Era. 



The first step in the reformation of the Julian Calendar, in 1582, 

 consisted in the suppression of 10 days in that year, by calling the 

 day, which, in the old style, was the 5th of October, the 15th of 

 October in the new. Now the Julian 5th of October, 1582, will be 

 shown by the Calendar to have been Friday, and the 15th, conse- 



