300 Prof. A. W. Hofmann on the Transformation of the [Mar. 19, 



E=-57721 56649 01532 86060 65120 90082 40243 10421 59335 

 93995 35988 05773 14949 71379 78029 07030 (last term is 



22.5000^'^ 



Comparing the values of E obtained from taking w=500, 1000, 2000 

 (given in former papers), and 5000 (given in this), and assuming that the 

 increase in the several values of E obtainable from taking n higher num- 

 bers will be nearly constant, we may conjecture that the value of the 60th 

 decimal last found in E will be increased 1 by taking ?i=5000.4; the 

 59th place will be increased 1 by taking ?i=5000 . 4^° ; in like manner the 

 58th decimal will be increased 1 by taking w=5000 . 4^°", and the 57th 

 also 1 when ?i=5000 . 4^°°°. 



It is certain, however, that when n is very large we may, numerically 

 speaking, express E pretty nearly by S?^— logg?^; and indeed when n be- 

 comes infinite, the formula 



becomes E=S?z— log^w, as given by Professor Price in his * Infinitesimal 

 Calculus.' 



In the value of E last found, then, we deem it probable that at least 5 6 

 decimals will remain unchanged, whatever high values be given to n. 



March 19, 1868. 



JOHN PETER GASSIOT, Esq., Vice-President, in the Chair. 



Prof. Theodor Ludwig Wilhelm Bischoff of Munich, Rudolph Julius 

 Emmanuel Clausius of Wiirzburg, Hugo von Mohl of Tiibingen, and 

 Samuel Heinrich Schwabe of Dessau, were proposed for election as Foreign 

 Members ; and notice was given from the Chair that these gentlemen 

 would be ballotted for at the next meeting. 



The following communications were read : — 



I. Transformation of the Aromatic Monamines into Acids richer 

 in Carbon. — II. On Menaphthoxylic Acid, the Naphthaline- 

 term corresponding to Benzoic Acid.^"* By A. W. Hofmann, 

 LL.D., F.R.S. Received March 4, 1868. 



In a paper communicated to the Royal Society* about a year ago, I 

 pointed out the existence of an acid holding to naphthaline the same re- 

 lations which obtain between benzoic acid and the hydrocarbon benzole. 

 I have since prepared this compound on a somewhat larger scale, and I 

 beg now to submit to the Royal Society some of the results which I have 

 obtained in its examination. 



The material used in preparing the new acid is naphthylamine, the mon- 

 * Proceedings of the Boyal Society, vol. xv. p. 335. 



