88 
and that each of the three general theorems, expressed by the 
formule I. II. III. of this Abstract, can be proved to continue 
to be true, when his old signification of the symbol <q, to 
which Mr. Carmichael’s researches have lately given an addi- 
tional interest, is changed to this other and more extensive 
signification, 
TVG a 4d=10; +J02 + hes 
where 6, 6, 6; are three new distributive symbols, operating on 
functions of xyz, and commutative (in order) not only with 
any ordinary and scalar constants, but also with 7k. 
The Secretary of the Academy presented the following do- 
nations :— 
No. 1.—Captain Borrowes, Gilltown: a squared block of 
syenite, with a border of hieroglyphs, containing the name and 
title of the Egyptian king, called Sesuntesen III., ty Lepsius. 
Dr. Todd read a letter from Dr. E. Hincks, in which he ex- 
plained that the inscription contained the five titles borne by 
Egyptian kings, and three others, viz.:—1. ‘“ Beloved by Nu, 
or Noum, lord of the cataract(?).” 2. ‘Beloved by Sate, lady 
of Elephantine ;” there being local deities worshipped at Ele- 
phantine. 3. ‘Beloved by—un (or hwn) who dwells in Nubia.” 
Dr. Hincks states in his note, that he never recollects to have 
seen the name of this deity before, and that he cannot read the 
hieroglyph which represents two fishes, at the commencement 
of this name. 
Colonel Larcom explained that the interpretation of the 
inscription made by Dr. Hincks was most satisfactory, as he 
had been informed by Mr. Borrowes that he obtained the 
stone from a Coptic convent, situated very far up the Nile; 
but he hoped to get for the Academy all the particulars con- 
cerning the place and circumstances of the discovery of the 
stone from the donor, in a few days. 
No. 2. From the Academie des Jeux Floraux, at Tou- 
