532 



p. 229, the 17th line of the footnote should be 



NA TURK 



{Feb. 4, 1886 



5* + enable + 6| 

 P. 229, line 21 of footnote, for — read — 



,5,/ + 7(arf + bc]l,. 

 b- 



P. 229, the 22nd line of the footnote should be 

 /ifi'-ht, ■^i,{ab-\-ba)ic + (>{«<: + b'^ + ca)ld+l{ad-Vbc ^ cb\ da)l, + . . . 



P. 230, for Trpayfiaruu read trpayfiaToiy. 



P. 230, 2nd column, line 10 from bottom, for " Buckkeim '' 

 read "Buchheim." 



P. 231. — The greater circle has been erroneously represented 

 as cutting the ellipse. It should pass outside it, thus — 



' I ,/x' dy" \d.u/y] ) 



and its centre should be indicated by an asterisk, as well as that 

 of the smaller circle. 



P. 231, Chart 5, and p. 226, the syzygy should be in both 

 places 



P. 231, Chart 2, in the last binariant Protomorph but one. 

 for + $abe, read - Snbc: 



Chart 6, last line but one, for J7 + A thread H - \U. 



For " Boole-Mongian " read " Boolo-Mongian " passim. 



Those desirous of obtaining systematic information on the 

 subject of the lecture may consult the following recent articles 

 from the pen of its author, viz. one on " Schwarzian Derivatives," 

 followed by another on "' Reciprocants " in the Mat/iemalifal 

 Messenger, four " Sur une nouvelle theorie de formes alge- 

 briques," a fifth " Sur les Invariants Differentiels, " which have 

 already appeared, and a sixth "Sur les reciprocants purs irre- 

 ductibles du quatrieme ordre," about to appear in the Coiiiples 

 tendiis of the Institute. 



It may be as well to mention that the papers in the Messenger 

 were given in long after the dates which the numbers of the 

 Messenger bear on their cover, those dates being by some months 

 anteiior to the time of their actual issue. In the absence of 

 this explanation the theory would appear to have been in print 

 long before the time when it is stated to have been discovered. 



UNIVERSITY AND EDUCATIONAL 

 INTELLIGENCE 

 Oxford. — Prof. Stirling succeeds Dr. Gamgee as an examiner 

 in the Honour School of Natural Science, not Prof. Burdon- 

 Sanderson, as stated last week. 



Cambridge.— Mr. A. E. Shipley, B.A., Scholar of Christ's 

 College, has been appointed Demonstrator of Comparative 

 Anatomy. Mr. Shipley was placed in the first class in the 

 Natural Sciences Tripos Part II., for Zoology and Comparative 

 Anatomy. 



It is recommended by the Council of the Senate that the Uni- 

 versity should now take over the machinery and other plant of 

 the Engineering School belonging to Prof Stuart. In 1SS3 its 

 value was estimated at 2500/. It has since been considerably 

 added to. Out of the receipts from students' fees and for pay- 

 ments for work done for University departments, and private 

 persons, the machineiy has been kept in good repair, 10 per 

 cent, has been set aside each year for depreciation, and 5 per 

 cent, has been paid upon the capital, and in addition a profit of 

 100/. was made last year. 



SCIENTIFIC SERIALS 



The Ameriean Journal of Science, January 18S6. — Observa- 

 tions on invisible heat-spectra and the recognition of hitherto 

 unmeasured wave-lengths made at the Alleghany Observatory, 

 by S. P. Langley. It is agreed that all cold bodies must not 

 only radiate heat to still colder bodies, but, according to our 

 present conception of radiant energy, be also capable of giving 

 a spectrum, whether we can recognise it or not. The object of 

 the present paper is to describe the actual formation of such 



spectra and the recognition of their heat in approximate terms 

 of wave-lengths. p'rom the author's researches it is inferred 

 that some of the heat radiated by the soil has a probable wave- 

 length of over 150,000 of Angstrom's scale, or about twenty 

 times the wave-length of the lowest visible line in the solar spec- 

 trum as known to Fraunhofer. — Botanical necrology of 1885, 

 by Asa Gray. Obituaiy notices are here given of Charles 

 Wright, of Wethersfield, Connecticut (1811-1885); George W. 

 Clinton, of Albany, New York (1807-1885) ; Edmond Boissier, 

 of Geneva (1810-1885) ; and Johannes August Christian Roeper, 

 of Basle (1801-18S5). — The isodynamic surfaces of the compound 

 pendulum, by Francis E. Nipher. It is generally assumed that 

 particles near and below the axis of suspension are retarded, and 

 those near the bottom of the pendulum accelerated, by reason of 

 their connection with the system, while the series of particles 

 forming the axis of oscillation are neither accelerated nor re- 

 tarded. But although this may be true as regards the time of a 

 complete oscillation, it is shown that in any compound pendulum 

 the particles near the bottom do not exert a constant retarding 

 effect upon the system. — The peridotites of the " Cortlandt 

 Series " on the Hudson River, near Peekskill, New York, by 

 George H. Williams. In his paper the author gives a petro- 

 graphical description of the most basic members of that most 

 interesting group of massive rocks which occurs on the southern 

 flank of the archfcan highlands about forty miles north of the 

 city of New Yoik. — Description of a meteorite from Green 

 County, Tennessee, by Wm. P. Blake. This mass of meteoric 

 iron, which was found by a farmer ploughing his field in 1876, 

 and is now in the writer's collection, weighs 290 pounds, 

 is of the shape of a flattened cigar, 36 inches long, 10 broad, 

 and 6 thick. It clearly belongs to the class of exfoliating 

 deliquescent irons, several examples of which have been found 

 in Tennessee, Georgia, and North Carolina, A quantitative 

 determination of a small slice from one end by Baumhauer's 

 method gave iron 9i'42r, nickel 7'955. — Tendril movements in 

 Cucurbita maxima and C. Pepo, by D. P. Penhallow. In his 

 paper, which is not concluded, are contained the results of a 

 study made some years ago on the movements of the squash 

 tendrils and terminal bud. Subsequent discoveries touching the 

 continuity of protoplasm have served to give a clue to certain 

 phenomena observed during the researches, but which at the time 

 could not be satisfactorily accounted for. This clue was followed 

 up during last summer, with the result that the true explanation 

 of the tendril movement in Cucurbita, and possibly also in the 

 whole family of Cucurbitaceee, appears to have been reached 

 from histological research. 



BuUeiin de r Academic Royalede Belgiquc, November 18S5. — 

 Solution of Wrous'Ki's universal problem, and of another pro- 

 blem relating to the integration of differential equations, by Ch. 

 Lagrange. This is the fifth memoir devoted by the author to 

 the elucidation and correction of Wrouski's writings. Here he 

 demonstrates and generalises for any number of variables, the 

 following theorem : Given a differential equation of any order n : 



Jd"x d"-'x dx . \ 



d) — . , . . . ^-, x, t, a\ = o, 



^\at" dr'-^ dt I 



between the dependent variable x and the independent variable/ 

 (<7 being a parameter), an equation which may be integrated for 

 (7 = o, the coefficients of the development of x according to the 

 powers of a are absolutely known functions of / given by simple 

 quadratures. — Researches on the spawning of the toad [Bufo 

 7'ii/gans), and on the protecting layers of the egg in the batrachian 

 family generally, by M. Heron-Royer. — Note on the origin of 

 diastase and on the reduction of the nitrates to nitrites, by M. 

 Ed. Jorissen. The author's experiments tend to confirm the 

 views of Traube and Pfefler, who regard the physiological 

 character of the Bacteria and of the Mycetse in general as pro- 

 foundly different from that both of plants and animals. He 

 further endeavours to show that the reduction of nitrates to 

 nitrites by germinating grains must be attributed to the presence 

 of the Bacteria of putrefaction .n the surrounding fluid. — Ex- 

 perimental researches on the influence of magnetism on polarisa- 

 tion in the dielectrics, by Edmond van Aubel. The object of 

 these researches is to ascertain whether it be possible to establish 

 a parallelism between the electro-magnetic rotation of the plane 

 of polarisation of light, the phenomena of the reflection of light 

 on a magnet, and Hall's discovery. But the result so far has 

 been unsatisfactory. — Note on the late Gen. Baeyer's views 

 regarding an annual oscillation in the level of the Baltic Sea, by 

 Gen. Liagre. Even admitting the accuracy of the observations 



