80 



whether the dependence of the two real numbers x and y, in 

 these two last equations, on the two real numbers a and b, 

 cannot be expressed by the help of the real inverses of some 

 new real and rational or even transcendental functions of 

 single real variables ; or, (to express the same thing in a 

 practical, or in a geometrical form,) to inquire whether the 

 two sought real numbers cannot be calculated by a finite 

 number of tables of single entry, or constructed by the help 

 of a finite number of curves : although the argument of Abel 

 excludes all hope that this can be accomplished, if we con- 

 fine ourselves to those particular forms of rational functions 

 which are connected with the extraction of radicals. 



DONATIONS. 



Voices from the Time of the Reformation of the Danish 

 Church. (In Danish.) Presented by the Literary Society of 

 the Diocese of Funen, 



Observations on some of the Strata between the Chalk and 

 Oxford Oolite^ in the South-East of England. By William 

 Henry Fitton, M.D., F.R.S., &c. Presented by the Author, 



