62 



REPORTS, ETC. INDEX OF SUBJECTS. 



Needle, magnetic, on the change which takes 



place in the diurnal variation of the, in 



different months of the year, 1854, 357. 

 Nematoidea, British, 1860, 229. 



, Irish, 1843, 277. 



Nemertina, Irish, W. Thompson on the, 



1843, 271; 1852, 295. 

 Nemertinidae, Dr. T. Williams on the, 1851, 



238. 

 Nephthys, Dr. T. Williams on the genus, 



1851, 174, 188, 199, 215, 235. 

 Nereidse, Dr. T. Williams on the, 1851, 



168, 174, 187, 191, 197, 211, 230. 



, British, 1860, 227. 



Nereidina, Irish, W. Thompson on the, 



1843, 273. 

 Nerine, Dr. T. Williams on the genus, 1851, 



199, 213, 234. 

 Nervous system, Dr. W. C. Henry's report 



on the physiology of the, 1833, 59-91 : — 

 Introduction. Cerebrum, 63 ; cerebel- 

 lum, 68 ; medulla oblongata, 72 ; 

 spinal marrow, 74; nerves, 80; the 

 sympathetic or ganglionic system, 88. 



system, report of committee on the 



pathology of the, 1836, 283. 



system of the Annelida, 1851, 266. 



system of the Amphipoda, 1855, 56. 



Newton's rings, 1831-32, 316; 1834, 365; 

 1840, 136. 



Nitrate of barytes and sulphate of mag- 

 nesia, or sulphate of soda, or sulphate 

 of zinc, or sulphate of copper, or sul- 

 phuric acid, heat of combinations of, 

 1849, 73, 74. 



Nitric acid. Prof. Johnston on the action of 

 sulphuretted hydrogen on, 1831-32, 460. 



acid in mineral springs, Dr. Daubeny 



on, 1836, 28. 



acid, solution of metals in. Dr. T. An- 

 drews on, 1849, 74. 



acid, solution of zinc in, heat of com- 

 bination of, 1849, 75. 



acid, solution of copper in, heat of 



combination of, 1849, 75. 



Nitrogen, method of preparing, 1831-32, 455. 



— — in thermal and cold springs, Dr. Dau- 

 beny on, 1836, 39, 71. 



Nomenclature of anatomy. Prof. Owen on 

 the, 1846, 169. 



of the Annelida, Dr. T. Williams on 



the, 1851, 159. 



, mineralogical. Rev. Dr. Whewell on, 



1831-32, 361. 



, zoological, report on, 1842, 105 ; 



1843, 119. 



of the stars, 1839, 172; 1840, 426; 



1841,44; 1843,292; 1844, 32. 



■ of organic compounds. Dr. Daubeny 

 on the, 1851, 124. 



Normalia (Amphipoda), British, C. Spence 

 Bate on the, 1855, 57 ; I860, 223. 



Notation, chemical, 1831-52, 345, 445; 

 1835, 207. 



Notidanidae of the China Sea, Sir J. Richard- 

 son on the, 1845, 195. 



Nototherium, fossil, of Australia, Prof. 



Owen on the, 1844, 231. 

 Nubian languages, 1847, 197. 

 Nucleobranchiata of the ^gean Sea, Prof. 

 E. Forbes on the, 1843, 131, 186. 



, Irish, W. Thompson on the, 1843, 



249. 

 Nucula, jEgean, Prof. E. Forbes on the, 1843, 

 145, 192. 



, Dr. Carpenter on the structure of the 



shell of the, 1847, 10 1, 131. 

 Nudibranchiata of the ^gean Sea, 1843, 

 133, 186; of Ireland, 1843, 250; 1852, 

 292 ; of the West coast of North America, 

 1856, 312 ; British, 1850, 241 ; 1856, 50 ; 

 1860, 220. 



, British, report on the, by J. Alder 



and A. Hancock, 1844, 24. 

 Nufi language, 1847; 174. 

 Numbers, theory of, report on the, by Prof. 

 H. J. S. Smith, 1859, 228-267:— 

 Part I. 

 Theory of congruences, 230. 

 Definition of a congruence, 230. 

 Solution of a congruence, 230. 

 Systems of residues, 231. 

 Linear congruences, 231. 

 Systems of linear congruences, 232. 

 Fermat's theorem, 233. 

 Lagrange's hmit of the number of roots 



of a congruence, 235. 

 Theory of the residues of powers, 



235- 



Primitive roots, 236. 



Indices, 237. 



Quadratic residues, 240. 



Legendre's law of reciprocity, 241. 



Jacobi's extension of Legendre's symbol, 

 242. 



Gauss's first demonstration, 243. 



second, third, and fifth demon- 

 strations, 245. 



fourth demonstration, 246. 



sixth demonstration, 248. 



Algorithm for the determination of the 



value of the symbol ( — \ 250. 



Biquadratic residues, 251. 



Theory of complex numbers, 252. 



Fermat's theorem for complex nimibers, 

 254. 



Law of quadratic reciprocity for com- 

 plex numbers, 254. 



Reciprocity of biquadratic residues, 



Biquadratic residues — researches of 

 Eisenstein, 256. 



Application of the Lemniscate functions 

 to the biquadratic theorem, 260. 



Cubic residues, 264. 

 Part II., 1860, 120. 



Residues of the liigher powers. — Re- 

 searches of Jacobi, 120. 



Necessity for the introduction of ideal 

 primes, 121. 



