INDEX I, 



273 



of deep-sea dredging in Zetland, 1/8; 

 preliminai-y report on the best mode of 

 preventing the ravages of Teredo and 

 other animals in our ships and har- 

 bours, 200. 

 Lowe (E. J.), report on observations of 

 luminous meteors, 1. 



JIagnetle declination, on the lines of 

 equal, 273. 



dip, on the, 252. 



force, on the intensity of the, 261. 



survey of England, General Sabine's 



report on the repetition of the, 250. 



Mallet (Robert) on the experiments 

 made at Holyhead (North Wales) to 

 ascertain the transit-velocity of waves, 

 analogous to earthquake waves, through 

 the local rock formations, by command 

 of the Royal Society and of the British 

 Association for the Advancement of 

 Science, 201. 



Man, Dr. James Hunt on the acclima- 

 tization of, 129. 



Mangles (Capt.), third report on steam- 

 ship performance, 190. 



Manures, report on field experiments on 

 the constituents of, by Dr. A. Yoelcker, 

 158. 



M'^Connell (J. E)., third report on steam- 

 ship performance, 190. 



Mersey, Dr. CoUingwood and Mr. Byer- 

 ley's report on the dredging com- 

 mittee for the, 188. 



Meteor, remarkable, observations of a, 

 30. 



Meteors, luminous, report on observa- 

 tions of, by J. Glaisher, Dr. Gladstone, 

 R. P. Greg, and E. J. Lowe, 1 . 



, list of, 2; appendix, 28. 



Milner (W. R.), report on the action of 

 prison diet and discipline on the bodily 

 functions of prisoners, pt. 1, 44. 



Mincopies, or natives of the Andaman 

 Islands, Prof. Owen's report on the 

 psychical and physical characters of 

 the, 241. 



Moon, contributions to a report on the 

 physical aspect of the, by Prof. Phil- 

 lips, 180; by W. R. Birt, 181. 



Moorsom (Vice-Admiral), chairman of 

 the committee on steam-ship perform- 

 ance, third report, 190. 



Napier (J. R.), third report on steam- 

 ship performance, 190. 



New Zealand, report on the present state 

 of our knowledge of the birds of the 

 genus Apteryx living in, by P. L. 

 Sclater and F. von Hochstetter, 176. 



1861. 



Numbers, Prof. H. J. S. Smith's report 

 on the theory of, 292; theory of ho- 

 mogeneous forms, 292 ; problem of the 

 representation of numbers, 292 ; of 

 the transformation and equivalence of 

 forms, 292 ; automorphic transforma- 

 tions, 294 ; problem of the representa- 

 tion of forms, 295 ; binary quadratic 

 forms, 296 ; elementary definitions, 

 297 ; reduction of the problem of re- 

 presentation to that of equivalence, 

 298 ; determination of the number of 

 sets of representations, 300 ; reduction 

 of the problem of transformation to 

 that of equivalence, 301 ; problem of 

 equivalence, 301 ; expression for the 

 automorphics of a quadratic form, 303 ; 

 expression for the automorphics — me- 

 thod of Lejeune Dirichlet, 304 ; pro- 

 blem of equivalence — forms of a nega- 

 tive determinant, 306 ; problem of 

 equivalence for forms of a positive and 

 not square determinant, 308; im- 

 proper equivalence — ambiguous forms 

 and classes, 310; positive or negative 

 determinant, 312; the Pellian equa- 

 tion, 313; solution of the general in- 

 determinate equation of the second 

 degree, 319; distribution of classes 

 into orders and genera, 320; on the 

 determination of the number of qua- 

 dratic forms of a given positive or 

 negative determinant, 324 ; series ex- 

 pressing the number of primitive 

 classes, 329; proof that each genus 

 contains the same number of classes, 

 332 ; summation of the series ex- 

 pressing the number of properly pri- 

 mitive classes, 336. 



Ogilvie (George), interim report of the 

 committee for dredging on the north 

 and east coasts of Scotland, 281. 



Oldham (James), second report on steam 

 navigation at Hull, 239. 



Owen (Prof.) on the psychical and phy- 

 sical characters of the Mincopies, or 

 natives of the Andaman Islands, and 

 on the relations thereby indicated to 

 other races of mankind, 241. 



Paget (Lord Alfred), third report on 

 steam-ship performance, 190. 



Paget (Lord C), third report on steam- 

 ship performance, 190. 



Paris (Admiral), third report on steam- 

 ship performance, 190. 



Patents, the law of, James Heywood's 

 report of the committee on, 289. 



Phillips (Prof. John), contributions to a 



18 



