1228 (From Todhunter's "Int. Calc.")-A messenger M starts from A towards B (distance a) 1242 (Proposed by T. T. Wilkinson, F.R.A.S., Burnley.) Given two right lines SA, SB, and three points O, P, Q, situated upon a third right line parallel to SB; draw any transversal through - 2 0 - 1 + " (" + ") 108 ( " + "). O cutting SA, SB, in a, 6; join aP, 6Q, intersect v2 a 12 v = 3y+ 8a 4y+16a' (and y = 0) ing each other in m; then the points m are all situated upon a right line given in position. 1243 (Proposed by T. T. Wilkinson, F.R.A.S.. Burnley.) If perpendiculars be let fall from the angular points of a triangle upon the sides; and if from the extremity of one of these perpendiculars lines be drawn to the other two, and also to them all on the same side, then the intersections the remaining sides, making equal angles with shall all range in the same straight line. 1244 (Proposed by Mr. W. J. Miller, B.A., Eltham, Kent.)- Find the value of each of the following expressions :— 3/3 2a2 3/3 совес3 по [7/15+8 cos1 (†)]; (7) ... (8) ...... (cos me) at a rate of v miles per hour; but before he arrives and the area of the part of the loop above AB is tan.e when 0=0; 1245 (Proposed by Anonymous.)-From any given point in the periphery of an ellipse, or hyperFrom this we see that the curve in Quest. 1150 is described on the minor axis as diameter; then if bola, let there be drawn two tangents to the circle such, that one part of it (APB) is the locus of the from either of the extremities of the diameter, vertex of a ▲ when the sum of the base and is conjugate to that which passes through the the sum of the sides, and the rest of the curve given point, there be drawn two lines respecis the locus of the vertex of a A when the diftively parallel to the two tangents, they will pass ference of the base and Lis the difference of through the foci. Required proof. the sides. = 1237 (Proposed by W. J. Miller, B.A., Mathematical Master, Huddersfield College.)-If a, B, be the trilinear coordinates of a point, a, b, c the sides of the triangle of reference, and p, q, r the perpendiculars from the angles on any straight liae, prove that the trilinear equation of that straight apa + bqB+ cry = 0. SOLUTION BY T. T. WILKINSON, F.R.A.S., Let & be the number of hours M has been travelling when the shower commences; then, if line is he is caught in the rain, he will be delayed (z-vx) ul hours by it, and (z-vx) u1+c being then the time of performing the journey, (where c = av-1), n (c+zu-1-vxu-1)1 shillings will be. the sum received. Now as the shower is equally Let O be any point within the triangle of relikely to commence at any point between A and B, ference ABC. AP, BQ, CR, perpendiculars and at any time during M's journey, which, without upon any line QR through O. Put 4 AOP delay, would take c hours, it follows that (dz : a), Then it has been shown by Ferrers, in his (dxc) are the respective probabilities that the Trilinear Coordinates, p. 121, that shower will extend to a distance between (z, z + dz) | p÷AO sin 0 = 0 miles from A towards B, and begin at a time be- q + BO cos AOB sin – BO sin AOB cos 0=0 (2). tween (x, x+dx) hours after M has set out. Hence, if z> vx, M will be caught in the+CO cos COA sin + CO sin COA cos 00 (3). shower, and the part of his expectation depending on this is To the Editor of the Educational Times. SIR,-If Mr. Miller will try the following very simple and easy method, he will, I think, be convinced that the number of positions of the coin in Question 1165 is proportional to cos &, and not proportional to sin ; and consequently that the title "incorrect" belongs in reality to his own solution. Let him take the smooth horizontal surface of a wooden table to represent the plane of the grating, and in it fix, vertically, a pin of any given let him place the coin with its centre on the top length, less than the radius r of the coin. Then of the pin, and any point in its circumference touching the table, and denote by the angle which its plane makes with the table. This being done, he will find the following conditions to have place. First. That the coin will always just touch the table while remains constant. Secondly. That so long as the point of contact the coin is also unchanged, but for every different with the table remains unchanged, the position of point of contact, the position of the coin is changed; consequently the number of positions is exactly equal to the number of points of contact. Thirdly. That all the different points of con Otact form the circumference of a circle whose radius is r cos, and therefore the length of this circumference, viz. 2πr cos p, correctly expresses the number of positions of the coin, for the angle of inclination to the table. Consequently, Fourthly. The number of positions is propor tional to cos p, as in my solution, which is thus 1240 (Proposed by Mr. John Conwill.) proved to be correct. From this Mr. Miller will NEW QUESTIONS. Given 5a+1: = = 16a+ 1 [The celebrated Kersey, at page 160 of his Algebra, says it will be in vain to seek out any answer by Fermat's rule. Required a proof whether this assertion is true or false.] 1241 (Proposed by Mr. John Conwill.)In a trapezium, whose diagonals are equal and intersect at right angles, the sides are 19, 25, 35, and 31. Required the area. DISTRIBUTION OF CERTIFICATES TO THE THE EDUCATIONAL TIMES. 213 knowledge, were all matters far too serious to be a far larger portion passed the ordeal. Here dealt with under the influence of such motives as arose the question whether or not they passed of habits of character, and the imparting of useful now, the total number remaining the same, A PUBLIC meeting was held on Wednesday, effect. The labour of the teacher was silent-it stating, that it was his own belief that the the 27th Nov., in Willis's Rooms, King Street, was patient-it was often obscure; it was necessa-examination which had now to be passed was actuate men who look to a momentary popular on easier terms. He had the satisfaction of St. James's, for the presentation of the prizes rily arduous, and, for the most part, irksome; and not only one of the same severity as before, but and certificates to such students as passed the his reward was to be sought in his own conscience, of increased severity. If, then, they kept to the local examination for the year 1861, held in Lon-in a stern sense of duty, and in the gratitude and same proportion, the three who presented themdon by the University of Oxford-the Right Hon. attachment of those under his charge; and he selves for examination represented a much larger W. E. GLADSTONE, M.P., in the Chair. The Right Hon. CHAIRMAN, in opening the pro- and all of them had in his and their power to con- case, and that was again increased by the doubling ceedings, said the occasion which had brought them fer upon their teachers a reward highly valuable in of the number who passed along with the greater would impress upon his young friends that each amount of successful teaching than was at first the together was one of very great importance, and their eyes, but it depended upon the character elevation of the examinational standard. That was considerable interest attached to it on account of with which they went forth into the world to dis- a very satisfactory state of things, upon which he the changes in the education of the middle-classes, charge the duties of life. It was not for popular could not help congratulating those who were intebrought about by measures which, until lately, had but for solid results that the system of local ex-rested in a scheme of such immense importance. never been dreamt of. There was, he thought, no aminations had been designed and put into action. There was not a single function which man could more remarkable nor more beneficial sign of the Of the solidity of the results they could not speak be called on to perform, with respect to which it times than was afforded by those measures, and by at present, for the full proof of it could only be was not of the greatest importance that the indithe increased efforts made by the country for the found in the years of their future life, to which vidual should be brought into connection with a promotion of education, and of those kindly sym- they might well look forward for effects greater system of supervision. Especially so was this the pathies which unite all classes of the community. than any which had been yet attained; but, so far case as regards the function of education. It was It should be recollected that they saw present the as the evidence before them went, they had, he the most arduous duty a man could undertake. If representatives of the most important independent considered, the most satisfactory proof of the ample it degenerated into mere mechanism, it might, like schools in the kingdom, acting together for one success of this scheme for the academic education other mechanical arts, be performed without the object on a motive-power derived from those great of non-academic persons. He would only, in con- expenditure of any mental strength; but a meand ancient centres of learning-the old univer-firmation of what he stated, ask them to look to chanical routine was the death of teaching. If sities of the country. It had been the characteristic the number of candidates who were this year ap- teaching was to live, it could only thrive at the of the history of education, and eminently so of proved of by the examiners appointed by the Uni- cost of a great and toilsome expenditure of labour, education in this country, that it had not been versity of Oxford. No fewer than 1100 youths combined with much mental anxiety, on the part merely a means of individual mental culture, but passed that grave, if not formidable, ordeal. That, of the teacher. After all, he was but a man, and also a powerful bond of union among all classes. indeed, as the annual production of so young a men were not, to the highest degree, willing to do The founders of our universities, our colleges, and system-and it should be recollected that it re- their duty. They felt how much need they had of our grammar schools all alike had to deal, not with ferred only to the Oxford examinations-was a some support from without. That assisting force narrow and select classes, but with the whole mass very large number, especially as Oxford itself did from without to assist the teachers of the country of the people, so far as they were capable of profit- not each year pass more than 400 through the had been supplied in a remarkable degree by the ing by their benefactions, and in times when greater schools. Of course they could not compare that system of examinations which had that day brought obstructions existed in the way of education than preliminary examination with the grave and se- them together. It would show them what the rewas now the case, through the means of these rious examination for the university degrees. It sult of their teaching was able to achieve. They foundations and the ample materials placed in their was, however, no small matter, when there was so need no longer pursue their work in private, without hands, the substratum of society was, so to speak, small an annual accession to the higher education notice, without encouragement, and without the dragged from its hiding-place, and fitted for the of the country, that in an experience so short advantages such a meeting as the present afforded highest public, social, and Christian duties. An the present system should have attained to the them, where, in proportion to his success, he ob inmense portion of the general improvement of high figure of 1100. But besides the examinations tained the sympathy, both of his pupils and of their marind had, in former times especially, been of the University of Oxford, there was, it should parents, and had the result of his labours ascertained brought about through the means of these esta- be recollected, a similar system instituted by the under the sanction of one of the Universities. He blishments for education, yet it had so happened in University of Cambridge, the result of which, if was sure his young friends all felt this, and their the course of events that the great and venerable less extensive, was not less satisfactory. It was laudable and successful exertions gave proof that universities of the country, although they did much also within his own knowledge that in Scotland they did so, not only in words, but also in deeds; in the way of education-perhaps absolutely more measures were in contemplation for importing and if there were those present who had been less than they had done for many generations-yet, into that country so excellent an example. But, successful, he would say one word to them. He taking into account the vast increase of population proceeding further, he wished them to consider knew what it was to fail in obtaining an object and of public energy, they did relatively less, and how these examinations were passed. Out of every eagerly sought for. He recollected what it was to they were coming to be, in an increasing degree, three candidates who presented themselves during have failed. It was a moment of trial, and a mothe possession of a class rather than of the whole the first year of the examinations only one passed ment of depression; but he would entreat them not nation. But those who were acquainted with the and two were rejected; but now, after so short an to allow it to be a moment of permanent discouragespirit which prevailed within those ancient seats of experience as that from 1858, that proportion was ment. They should remember this law: that all learning, knew that they retained within them, reversed, and two out of every three passed, and honest and excellent exertion in the path of duty, even at this advanced period of their existence, all only one was rejected. But it might be supposed if undertaken in the fear and love of God, even if it the energies of youth; and the distinguished per- that this change had been brought about by means seemed to fail-even though there might not be sons who designed the scheme of the middle-class which would deprive the examinations of part, if attending it one shadow of gratification-yet carried examinations were confident of two things. First not all, their real value. He meant, by lowering with it, though unseen, its own reward. He wished of all, that, in the universities, there existed both the standard of the educational qualification for the to press upon them the knowledge of this fact: the power and the will to effect a great extension passing of them. There was, he knew, a great that the exertions which they made in acquiring of the benefits of education; and in the commu- tendency to do so, and it required great moral their knowledge, although they now appear to have nity at large, that class connected with the manage courage, a strong sense of duty, and considerable been in vain, would yet be of the greatest service to ment of school-teachers, parents, and pupils, there authority, to be able to maintain unaltered a test them in after-life, as they disciplined the mind in existed a disposition to avail themselves of the faci- of young men's mental acquirements. Here was habits of application: and those of them who had lities in that direction, which it was in the power one of the great advantages of the system. It succeeded would, he was sure, be gratified to find of the universities to offer. There might have been was not a system to be judged of merely upon its that those who had run with them in the race those who ascribed such sanguine expectations to own merits, but as one proceeding from academical would not be losers, but sharers with themselves in an over sanguine temperament; but if there had bodies surrounded by venerable traditions, and that which was the most valuable portion of the been any such, the amount of the results which the possessing great authority in regard to education. system-its reflex effect on the habit and character system had that day attained was sufficient to dis- After all, the rejection of a candidate was a task as of the mind. The right hon. gentleman concluded sipate their delusions. They might fairly say that, disagreeable to the examiner as to him who suffered his speech by assuring both teachers and pupils of up to the present moment, considering the limited by the rejection, but still it would be very unwise the deep interest which he felt in their labours and time it had been in existence, it had attained to consult their feelings by lowering the standard exertions, and of the gratification with which he every success its friends could hope or desire. It of examination to increase the number of those contemplated the successful result of the middlewas not a plan that depended for its success upon who should receive certificates. It would in effect class examination movements. Sone favourable impression of the moment. effects. had he might say that no scheme of amination. It was not for him to speak of the dates. plan that aimed at producing popular value and benefit they were to derive from the ex-book prizes and certificates to the successful candiIt be taking away from those well qualified the whole education-no stalment of education-no auxi-Oxford system as compared with another system The Chairman then proceeded to distribute the was not a The following senior pupils in honours received men if it had popular effect for its object. The itself. Baines, C. B. Barnes, O. L. N. Foster, S. B. THE EDUCATIONAL TIMES. Robinson, R. W. Tootell, J. H. Cox, J. Crawley, A. Alford, J. Axton, C. C. Corner, W. Dening. JUNIOR EXAMINATION. W. H. Exhall, J. Pratt, F. Franklin, W. R. DIRECT COMMISSIONS. Order of Merit. Names. Marks. Order of Merit. Names. Marks. 2495 1 Jendwine, W. W. 6325 50 Handy, R. R.......... 2515 G..... ... 2050 11 Bruce, H. J. L....... Mr. MASON then moved a vote of thanks to the examiners for the manner in which they had con-40 Jackson, E. B. ducted the examination, and particularly to the Rev. E. Hill for so ably presiding over the London district. The Rev. Dr. GOODWIN seconded the motion, and it was carried unanimously. The Rev. E. HILL having returned thanks on behalf of himself and the examiners, An enthusiastic vote of thanks was then, on the motion of Dr. PINCHES, seconded by Mr. PAYNE, accorded to Mr. Gladstone for presiding on the occasion. Colleges. By W. D. Geddes, A.M. New edition, cr. 8vo. tillane de M. Le Sage; avec la signification des mots 1 WAR AND TAXATION IN AMERICA.-We can in- scholar!-a man of erudition! Upon whom are these ANSWERS TO CORRESPONDENTS. lectures of two of the readers, or have satisfac-mercial relations of Europe? to men who know the properties of bodies, and their action upon each School Books, and New Editions, published during is reserved for him who writes on the Eolic other? No: this is not learning; it is chemistry, Alphabetical List of the Principal College and tinguishing abstract term, the epithet of Scholar, or political economy-not learning. All About It; or, the History and Mystery of Common method of arranging defectives in and μ. The The dis the Month ending November 30. Arendts-Practical Aids to the Study of Natural His-picture which a young Englishman, addicted to reduplication, and is familiar with the Sylburgian Things. New and cheaper edition, 12mo. tory, Botany, Geology, Mineralogy, and Technology. the pursuit of knowledge, draws-his beau idéal Adapted for the use of Schools, by Dr. Carl Arendts. of human nature-his top and consummation of With 400 Illustrations. Translated and edited from man's powers-is a knowledge of the Greek lanBaker-The Book of Bible Geography. By Chas. Baker. The situations of imaginary glory which he draws Bain-On the Study of Character; including an Estimate guage. His object is not to reason, to imagine, or of Phrenology. By Alexander Bain, A.M. 8vo. Cooke--A Manual of Structural Botany; for the use of for himself, are the detection of an anapast in the to invent; but to conjugate, decline, and derive. Coutie-Word Expositor and Spelling Guide: a School dying Ernesti failed to observe. Schools, Classes, and private Students. By M. C. wrong place, or the restoration of a dative case Cooke. Illustrated. Fcap. 8vo. which Cranzius had passed Manual, exhibiting the Spelling, Pronunciation, Meaning, and Derivation of all the important and peculiar over, and the neverwords in the English Language. With copious exerEdinburgh cises for examination and dictation. By Geo. Coutie, A.M. 12mo. the German, by G. L. M. Strauss, Ph.D. 8vo. 4th edit. fcap. 8vo. Review. - Crossley, M.P., was present at the late distribu- All communications must be addressed to the Darton's Indestructable Primer, or Child's Gift Book. tion of prizes to students in the Halifax School of Art. In the course of his speech the hon the " Merchant of Venice." The parts of Portie, mandible protruding, and armed with teeth like member for the West Riding, demurred to some COLLEGE OF PRECEPTORS.-AGENCY DEPARTMENT. REGULATIONS. 1. Applicants for vacant situations must send to the Secretary a statement of their qualifications, two copies of their testimonials, the names and addresses of their employers, if any, during the preceding three years, the salaries required, and their own addresses. The fee for insertion in the Register is one shilling. 2. The fee to be paid by any person not a Member of the College, on obtaining employment, is two-and-a-half per cent. on a year's salary. The fee payable for Members is ten shillings only. In both cases half-a-crown additional is charged for postages. 3. The requirements of Principals of Schools, Members of the College, are inserted in another Register on payment of one shilling: the fee to non-Members is half-a-crown. These fees cover all charges for correspondence, which will, if required, be undertaken by the Agency Department, and for Advertisements. 4. Every facility is afforded for interviews between Principals and Assistants at the College Offices. ***All communications must be addressed to the Secretary, 42, Queen Square, W.C. 2. Mathematics, Classics, and English; French and Drawing desirable. A Dissenter preferred. Salary from 50l. to 601. N.E. District. 696. Writing Master, with Elementary Drawing. but not olging. In Lancashire. Salary 607. with board 627. Junior Assistant, Elementary French and Latin required. Salary 301. In Sussex. 698. (i.) Classics and Mathematics, with English; French desirable. Salary 50%. to 60%. (ii) Junior Assistant, Elementary Latin and Mathematics, English and Writing. Salary 251. Near Town. 700. (i.) Classics, Arithmetic, and Elementary Mathematics. Age about 24 years. Salary 601. (ii) Junior Assistant, Latin and Arithmetic. Age from 19. Salary 401. In Dorsetshire. 701. Classics and Mathematics, English, and French. Salary 601. Manchester. Near 702. Middle Classics, Arithmetic, and English Subjects. Salary 407. to 50l. Near Town. 703. Junior Assistant. Salary about 157. Or an Articled Assistant. In Worcester. 704. English Subjects and Junior Mathematics. Salary about 251. Northampton. ASSISTANT MASTERS REQUIRING 451. Visiting Teacher of French, Mathematics, and Writing. 617. German and French. As Visiting Master. In 649. Classics, Mathematics, and English subjects. Private pupils. 828. Music, French, German, English, and Elementary Drawing. A Lady. 837. English, Arithmetic, Elementary French, and Music. A Lady. Age 18. Salary 15 to 20 Guineas. 849 Classics, Mathematics, and Surveying. Non-resident or Visiting Master. Age 29. 871. English, French, German, Rudiments of Music. A Lady. Age 21. Salary 201. 881. High Mathematics, including the Calculus. Age 23. Private lessons 5s. per hour. 882. Classics, Junior Mathematics, Book-keeping & English Subjects. Age 42. 896. English Subjects, French and German, acquired on the Continent, Junior Piano. A Lady. Age 17. Salary 301. 904. French, German, Classics, and Mathematics. Age 39. B.A. of Paris. 905. English, French, and Classics. Age 21. As Visiting Master. 922. Highest Mathematics, with French. A Wrangler. Age 24. 929. German, French, Italian, Classics, Music, and the Natural Sciences. 933. French, Gymnastics, and Drilling. Salary 401., resident; or as nonresident or Visiting Master. 942. French, German, and Elements of Italian and Latin. As Visiting Master. 944. Natural and Experimental Sciences, Mathematics, German, and Drawing. A German Graduate. Age 33. As Visiting Master. 945. French and Italian, Classics and Mathematics. Age 37. Dr. of Laws of the Univ. of Paris. Salary 1007. 946. The highest Classics and Mathematics. Salary 1007. 954. Mathematics, Junior Classics, and English. Age 24. Salary 701. resident, or 1007. non-resident. 958. Mathematics and Junior Classics. 1207. resident, or as non-resident master. 959. Mathematics and Junior Classics. Age 23. Salary 60l. to 701. 960. French, German, Mathematics, Fortification, History, Geography, &c. Age 37. As Visiting Master. 970. English, French, German, the Rudiments of Italian, Piano-forte and Singing. A Lady. Age 34. Salary 401. 977. French, German, and Music. Age 24. Salary 50l. to 60%. 981. English thoroughly, Mathematics, with Music and Drawing. Age 25. Salary 801. resident, 1007. non-resident. 988. Latin, French, Greek Grammar, Junior Mathematics, English, and Book-keeping. Age 18. Salary from 201. 989. Mathematics, and English Subjects. Holds a 2nd class Government Certificate. Age 20. Salary from 407. to 50l. 990. English Subjects. A Lady. Age 20. Salary 201. No. in Register. College of Precetors.-Agency Department continued. Qualifications. 991. French and German. Age 28. pupils required. Non-resident situation, or private 992. French and German, with English Subjects, if required. Age 24. Salary from 607. to 80l. resident; non-resident situation preferred. 994. French and German, English, if required. Age 29. Salary 802. resident; a non-resident engagement would be accepted. 996. English, Latin Grammar, Arithmetic, Drilling, &c. Age 33. Salary 357. 998. English, Arithmetic, Junior Algebra and Latin; Geometrical and Freehand Drawing. Age 24. Salary 50l. 999. English, Middle Mathematics, Chemistry, and Natural Philosophy, with Junior Classics. Visiting engagement, or private pupils. 1000. Classics, Mathematics, French, and English Subjects. M.A. of St. Andrews, and LL.B. of London. As Visiting Master. 1001. English Subjects, Mathematics, Writing, Music, and Drawing. Age 24. Experience, 10 years. Salary from 1007. 1002. English Subjects, Arithmetic, and Junior Latin. Age 21. Salary 301. resident. 1003. English Subjects, Junior Mathematics, Classics, and French. Age 41. Salary 401. to 45l. resident, 657. to 70l. non-resident. 1004. English, with Junior Music and Drawing. A Lady. Age 17. No Salary required, but residence, and instruction in Music, French, and Drawing. 1005. Junior Classics and Mathematics, with the Elements of French, and Natural Sciences. Undergraduate of London. Age 25. Salary from 40l. to 50%. 1006. Junior Classics, Mathematics, and French. Age 19. Salary from 201. 1007. German, Drawing, and Music, in all their branches. Age 33. Salary 1007. resident, from 150l. to 2007. non-resident. 1008. Mathematics, Junior Classics, Book-keeping, English, Drawing, and Writing. Age 22. Salary 607. resident, 1007. non-resident. 1009. French, Music, and English subjects. A Lady. As Visiting Governess in the afternoons. 1010. German, French, and Classics. Age 37. Visiting Master. 1011. Higher Latin Authors, Junior Greek, Mathematics, English Subjects, and Elementary French. Age 24. Salary 40l. to 50l. 1012. High Mathematics, Middle Classics, French acquired by residence in Paris. Age 28. Salary 1207. 1013. German, Music, and Drilling. Age 26. Salary not an object. 1014. French, German, Classics, English Subjects, and Junior Drawing. B.A. of Paris. Age 33. Salary 601. 1015. Classics, Junior Mathematics, French, and English Subjects. Age 38. Salary 601. to 80%. 1016. English, with Rudiments of Latin and Mathematics. Salary 201. Age 22. 1017. Classics, Prose and Verse Composition, Mathematics, English, and the Rudiments of German. Age 26. Salary 801. 1018. Drawing, Fortification, and Painting. Visiting Master. 1019. French, History, Geography, &c. A Lady. Age 25. Salary 50%. 1022. Classics, Mathematics, including the Calculus, and English Subjects. M.A. of Aberdeen. Age 22. Salary 607. Just published, Foolscap 8vo, cloth boards, pp. 560, 4s. 6d., 1023. French and Mathematics, Gymnastics, and Elements of German and of Chemistry. Age 19. Salary 507. 1024. High Classics and Mathematics, English, Junior French and German. M.A. of Yale College, U.S. Age 28. Salary, non-resident, 1207.; resident, 100l. to 1207. 1025. French and English. Age 28. Salary 607. 1026. French, Mathematics, History, Geography, and Drawing. Visiting Master. 1028. English, Elementary French, Music and Drawing. A Lady. Age 24. Salary 201. 1029. Classics and Mathematics, with English Subjects. B.A. Camb. Age 24. Salary 80l. to 1007. 1030. English Subjects, and the Elements of Latin and Greek. Age 18. Salary 201. to 30%. 1031. French, German, Dutch, Classics, Mathematics, and Pianoforte. Age 30. Salary moderate. 1032. French, German, English, Junior Classics and Mathematics, Gymnastics and Drilling. Age 34. Salary 607. to 80%. 1033. Middle Mathematics and Classics. M.A. Camb. Salary 501. 1034. English Subjects, Mathematics, Drawing, Writing, and Landsurveying. Age 22. Salary 30l. to 40%. 1035. French, German, Music and Drawing. Age 31. Salary 70%. 1036. High Classics, Junior Mathematics, English Subjects. B.A. and Fellow of Magdalen Coll. Camb. Age 30. Salary 2007. Non-resident, for about 5 hours daily. 1037. French, German, Mathematics, and Classics. Age 26. Salary 601. 1038. Junior Classics and Mathematics, with English Subjects. Age 32. Salary 50l. to 80%. 1039. Classics, French, Mathematics, and English Subjects. Age 36. Salary 701. 1010. English Subjects, Arithmetic, Drawing and Elementary Music. A Lady. Age 40. Salary from 521. 1011. French. Visiting Master. 1012. French, German, English Subjects, Elements of Italian and Latin, with Drawing. A Lady. Age 40. As non-resident governess, or for private pupils. 1013. English Subjects, Mathematics, Mensuration, Navigation, Drawing, French and Latin. Salary 60%. 1044. English, Junior Mathematics, Mensuration, Book-keeping, Elements of Latin and Drawing. Age 19. Salary 657., non-resident. 1015. Mathematics, Classics, and English. Visiting Master, or non-resident, In Town. 1016. French, Junior Mathematics, Classics, English, and the Rudiments of German and Italian. Age 24. Visiting Master. 1017. German, Italian, Drawing, Etching, Painting, and Music. A Lady. Visiting, or private pupils. 1048. German, French, Mathematics, including the Columbus, Fortification, Drawing, and Music. A German. Age 37. Salary 1207. to 1307. SPLENDID MUSIC GIFT. Now ready, price 2s. 6d., BAKER'S SCIENTIFIC CLASS THE BURLINGTON ALBUM FOR FIVE SHORT LETTERS TO SIR BOOK, (CIRCLE OF KNOWLEDGE. Gradation IV.) free. London: ROBERT COCKS and Co., New Burlington University of Oxford, on the STUDIES AND DIS Illustrated with 330 Woodcuts. WERTHEIM and Co., 24, Paternoster Row, and 23, Holles Street. VARTY, Educational Repository, 3, Adelaide Street, Strand. 1862. Price 15s. List of Contents gratis and post Street, Regent Street, W., Publishers to the Queen. OBERT COCKS AND CO.'S EDU-Examples. For the Use of Schools and Families, and ROBE CATIONAL WORKS ON MUSIC. 306th Edition.-Hamilton's Modern Instruction for the Pianoforte. Fingered by Czerney. 70 pages, folio. 4s. 65th Edition.-Hamilton's Dictionary of 3,500 Musical Terms. 1s. 68th Edition.-Clarke's Catechism of the Rudiments of Music. 1s. 19th Edition.-Hamilton's Modern Instruction for Singing, 5s. 24th Edition. Czerney's 101 Elementary Studies. Edited by W. Vincent Wallace. 8s.; or in two books, each 4s. - 23rd Edition.--Czerney's Etude de la Velocité. Edited by W. Vincent Wallace. 10s. 6d.; or in two books, each 6s. AND DESIGN; or, Pencilled Copies and Easy CONTENTS:-No. 1. Straight Lines and Combinations WILLIAM HEATHCOTE, BART., M.P. for the WHARTON'S MATHEMATICAL WORKS. LOGICAL ARITHMETIC; being a Text-book for Class Teaching, and comprising Elementary Arithmetic, with Rules for Mental and Prac tical Calculations; and a Course of Fractional and Propor tional Arithmetic, an Introduction to Logarithms, and Selections from the Civil Service, College of Preceptors and Oxford Examination Papers. ANSWERS to the above, separate. Price 6d. II. SIXTH EDITION, 12mo, price 1s.. 32nd Edition.-Hamilton's Catechism of Thorough be first drawn over, and then imitated. The Exercises EXAMPLES Bass and Harmony. 2s. Key, 1s. 6d. IN ALGEBRA FOR JUNIOR CLASSES. III. The Series embraces a complete course of Elementary Drawing, consisting of appropriate and carefully graduated Copies, advancing from the simple stroke to the most difficult outline, printed in pencil-coloured ink, to have been so simplified, as to render the art of Drawing 12th Edition.-Hamilton's Practical Catechism of Sing-as easy of attainment as that of Writing. As soon as ing. 3s. children are able to write, they are also able to draw. SECOND EDITION, 12mo, cloth, price 3s.,, And for the purpose of early training, in order that their XAMPLES IN ideas of Form may become correct, and the eye and hand ALGEBRA FOR acquire the habit of working in unison without effort, itduated Examples, with the Examination Papers. SENIOR CLASSES; Comprising numerous sta is confidently believed that no Series of Drawing Books exists which can compare with the present. The results Parts I.-VI., 18. each, of training in the numerous Schools and Families where the books have been employed, will fully justify this Printed and Published by CHARLES FRANCIS HODGSON, 1, Gough Square, in the Parish of St. Bride, in the City of London; and sold by W. Aylott and Son, 8, Paternoster Row; and W. Wesley, 2 Queen's Head Passage Paternoster Row. DECEMBER, 1861. |