Take p=2, q=1, and s=1, then r=6 and x=18; and the sides of the triangle will be 90, 72, 54. Numerous other answers may be readily found. 1378 (Proposed by Mr. W. K. Clifford, Russell Square, London.)-A tangent to an ellipse is a chord of a concentric circle, whose radius is equal to the distance between the ends of the axes of the ellipse; show that the straight lines which join the ends of the chord to the centre are conjugate diameters. Solution by G. H. S.; R. TUCKER, M.A.; Mr. (Q ± 2 √/PR) a+Ng+ My=0 ........(2); divided into groups of 4. Each group has 6 in. these pass through A, and the others may be there are only two because there is a double tersections, two of which lie on the polar of A, point. The lines drawn from A to their points of and the others lie two and two on lines through contact are represented by B/P+yR=0; A. Any two groups intersect in 8 points, having hence these form an harmonic pencil with AB, AC. properties like those of the points C. The equation to the tangent at Dis NEW QUESTIONS. 1391 (Proposed by the Rev. W. Mason, Let the equations to the ellipse, the circle, and Normanton, Yorkshire.)-Required the area-locus the tangent at the point (h, k) be of the centre of a circle of given radius, tangent to which, and to two given straight lines, eight ..(1), circles can be drawn. y2 1... hence the lines joining the centre with the points (x ̧, Y1), (x,, Y2), (that is, with the ends of the chord), are conjugate diameters. Note. If we change b2 into-b2, we obtain a similar theorem for the hyperbola (that is, the square on the radius of the circle is equal to the sum of the squares on the semi-axes in the ellipse, and to their difference in the hyperbola), but the conjugate diameters will be imaginary if (a1k2+b1h2) (a2-b3) < a+b1. 1379 (Proposed by ✶ ✶ ✶.) — If a curve of the third order have a double point A, and be cut by any straight line in B, C, D; and if, when ABC is taken as triangle of reference, the tangents at A are represented by the equation PB2+QBy+ Ry2=0, 1400 (Proposed by W. J. Miller, B.A., Mathematical Master, Huddersfield College.)Apply the method of Tangential Co-ordinates to prove that the centroid of a triangle, the intersection of the perpendiculars, and the centre of the circumscribed circle, are in the same straight line. EDUCATIONAL SOCIETIES. BRITISH AND FOREIGN SCHOOL SOCIETY.-The fifty-eighth general meeting in connexion with the British and Foreign School Society, was held in the school-room, Borough-road, on Monday, 11th May. The Right Hon. Earl Russell, K.G., presided; and on the platform were Lord Lyveden, Sir John Boileau, Mr. Hanbury, M.P., Mr. Gurney, M.P., Mr. A. Russell, M.P., Mr. J. P. Heywood, Professor Pillans, Rev. Dean of Dromore, Mr. Gurney Hoare, &c. of the pupils in the school; and at its conclusion, The meeting was preceded by the examination 1392 (Proposed by Iota.)-Find the normal which cuts off the least area from a parabola. 1393 (Proposed by Mr. J. R. Wilson, Jesus College, Cambridge.)-A shell formed of two equal paraboloids of revolution, having a common axis, is fixed with its vertex downwards, and axis vertical; and a heavy uniform rod of given length rests within it, in a vertical plane through the what he had seen and heard. The pupils had ac Earl Russell said he was highly gratified with axis. Compare the pressures on the lower surface quitted themselves very well, especially in history, of the shell, the distance between the vertices of the paraboloids being one-fourth of the latus rec-lesson they had read enjoined to them the duty of geography, and the knowledge of Holy Writ. The tum of a generating parabola. 1394 (Proposed by Matthew Collins, B.A.)Required a direct proof that an ellipse and its osculcating circle have a contact of the third order at the ends of its axes; and prove also that the deflections (or deviations) of the ellipse from the circles osculcating it most closely at the ends of its axes are to each other inversely as the 7th powers of the axes. 1395 (Proposed by Mr. S. Bills.) Within a given circle (radius R) let n equal circles be described, each touching the given circle and two of the series of equal circles. Let a second series of equal circles be described, each touching two of the preceding series, and two of the new series. Let a third series of n equal circles be described in a similar manner, and so on to infinity. It is required to find the sum of the areas of all the circles thus described. Also give an example when n = 6. 1396 (Proposed by T. T.Wilkinson, F.R.A.S., Burnley.)-A circle (C) and two points (A, B) being given in magnitude and position, two lines ZT, VT, and a third point T, may be found, such that if from T any straight line TGg be drawn, cutting the circle in G and g, we shall always have AG. GB Ag. gBgT: GT. 1397 (Proposed by R. Tucker, M. A)-If show that the equation to the straight line AD is the "Intrinsic equation" to a curve be known, NB + My=0, and the tangents at B, C by the equations Pa+Ny=0, and MB + Ra=0; and find the equation of the curve. Solution by Mr. W. K. CLIFFORD, London. Since PB2 + Qßy + Ry2=0_ and Pa+Ny=0 are the tangents at the points where = Y O meets the curve, its equation must be of the form (PB2 + QBy + Ry3) (Pa + Ny) =y^p; also of the form (PB+ QBy+ Ry2) (MB + Ra) = B-X. It will be found that the equation show how to find the equation to the "Radial returning good for evil, and he hoped they would always remember it, and act upon it. The report, which was read by the Secretary, commenced by paying a warm tribute to the me mory of the late Lord Lansdowne, who had been one of the vice-presidents of the society. The average attendance of boys at the model school in the Borough-road was 607. The number in the girls' schools was 285. Since the school had been established 65,617 boys and 24,833 girls had passed through it. The report then went on to give elaborate account of the society's operations during the year. In conclusion, it was stated that if the present aspect of the education question was not entirely satisfactory it was highly encouraging. It was hoped that the society would receive prompt, liberal, and well-sustained support. The balancesheet showed that the total income of the year had been 16,2051. 14s. 7d.; the expenditur. had been 11,5851. 8s. 8d. After stating that the amount debited for school materials and expense was 45057. 10s. 9d., a balance would be left 1147. 15s. 2d. Lord Lyveden moved the adoption of the report, and congratulated the Society on its present con dition. Mr. Hanbury, M.P., seconded the motion. He had been highly pleased with the examination. The responses of the children had been given with telegraphic rapidity. The motion was carried unanimously. The Rev. W. Arthur then moved a resolution tə the effect that the present state of education wa an encouragement to increased exertions, which was carried. Several resolutions having been duly moved, seconded, and carried, 1398 (Proposed by Mr. W. H. Levy.)-Given the area, the difference of the sides, and the radius resolution to be proposed, and that concerned hi Earl Russell said, as there was only one m of the escribed circle touching the base and the self, he hoped the meeting would excuse him sides produced, to construct the triangle by conics. waiting for it, as he had a shop in Whitehall 1399 (Proposed by Mr. W. K. Clifford, Lon-attend to, and there was also another society that don.)-From a point A two chords are drawn met in Palace yard whose meeting he was expected a (PB2 + Qßy + Ry3) + By (NB + My)=0.... (1) also by four straight lines a. (These intersect for what it had done in promoting instruction. Ha meeting a conic section in four points B, joined to attend that evening. He thanked the city is of both these forms. For clearly the lines two and two in two points P lying on the Polar should doubt the stability of that teaching if be P82 + QBy+ Ry2 = 0 only meet the curve at the of A.). At the points B are drawn four tangents did not feel that the institution gave a scriptar point (B), and the lines Pa+ Ny=0, M8+ Ra=0, b which intersect in six points, two of which are and not a mere secular education. Experience had touch the curve at the points (ay), (aß). It is now obvious that the other point where a meets the on the two straight lines AP. These tangents into work upon, and in order to make it a natal on the polar of A, and the others lie two and two proved that they had selected the true principle curve is in the line N8+ My = 0, which is there-tersect the original chords in 4 points, which may benefit it must comprehend the whole country. be joined by 4 straight lines intersecting by pairs The noble earl then contrasted the condnet of the We may notice that the tangents drawn from D in the points P. The lines a and b intersect in 8 people of Lancashire in their distress at the present to the curve are represented by points C, which may be joined by 20 lines c; 4 of time with that of the people during the distress fore the line AD. 7 It was Resolved, That an Address of Congratulation should be presented by the College to His Royal Highness the Prince of Wales, on his marriage with the Princess Alexandra. The Rev. J. R. Major, D.D., was re-elected a Member of the Council. The following were elected Members of the Col- Mr. J. B. Harvey, Castle Academy, Halesworth. chester. Mr. J. Woodard, Arnold House, Barking. periods of 1801 and 1819, and contended that the meeting, was read by Mr. Watson. It stated that On the Report of the Examination Committee, difference was entirely attributable to the improved the Committee had with pleasure witnessed the the Dean, Moderators, and Examiners, were apmental condition of the people through education.growing interest in the religious education of the pointed for the ensuing year. [For these, vide p. 1 The noble lord then retired, and was loudly young manifested in various parts of the world, of the present Number of the Educational Times. J cheered, and the proceedings terminated. and they had readily responded to every appeal It was Resolved, That in future the Pupils of RAGGED SCHOOL UNION.-The nineteenth an-made to them for assistance in carrying out that Non-members of the College should be admitted to nual meeting of the friends and supporters of this object. The help had generally been given in the the Examinations on payment of the fee of 12s. 6d. society was held on Monday evening, 11th May, in form of books, and the Committee had thus been each. the large room of Exeter Hall. The Earl of Shaf-enabled to assist schools at Rouen, Paris, Neuftesbury occupied the chair, supported by Sir R. châtel, Canton de Vaud, Western Africa, Bombay, Carden, Mr. J. Payne, the Bishop of Goulburn, Rev. Madras, Calcutta, China, Queensland, South AusMr. Cadman, and others. Mr. Locke, the Hon. tralia, &c. The sales at the Depository during the Sec., read the report, which stated that the number year had been £1764. 3s. 3d.; the income of the of evening schools was now 180, with scholars and Benevolent Fund had been £2011. 18s. 3d.; and the attendance averaging 23,360. The number of Sun- expenditure, £2139. 4s. 11d. The result would day schools was 199, and the number of scholars have been a deficiency of £127. 6s. 8d., had not the 17,970. The week-day schools numbered 205, and Sunday-school Society requested the Committee to scholars 8320, giving a total of 49,650 scholars; accept a sum of £454. The meeting was afterwards but as many week-day scholars attended on Sunday, addressed by several clergymen and gentlemen. the committee thought that the probable number METROPOLITAN SCHOOL OF DENTAL SCIENCE. who enjoyed the benefit of the schools was about Last evening the annual distribution of prizes to one-half of the above number-uamely, 26,000. the successful competitors in this school in connecThe industrial scholars numbered 2850; voluntary tion with the College of Dentists, took place at teachers, 2700; paid teachers, 360; paid monitors, No. 5, Cavendish-square. Mr. Samuel Lee Rymer 460. The number attending parents' meetings was (the founder) presided, and was supported by Dr. on the increase. There were now 26 Bands of Hope, Richardson, M.A.. M.D.; Mr. T. C. Jackson, The thanks of the Council were voted to J. with 4200 members, and the number of school F.R.C.S.; Mr. R. Hulme, M.R.C.S.; Dr. Parland, McDowell, Esq., B.A., of the Perse Grammar libraries had increased to 66, with above 10,000 Messrs. Hockley, S. Tibbs, W. Jewrie, W. Per- School, Cambridge, for the donation of his "Exervolumes. The number sent to situations during kins, H. T. Kempton, Hon. Secretary, &c. The cises in Geometry" to the College Library; and to the year was still large. The Shoe-black Societies Chairman having briefly addressed the assembly, David Page, Esq., for a similar present of his "Incontinued to prosper; they were 8 in number, and congratulating the profession on the large amount troductory Text-book of Physical Geography." comprised 372 lads, whose united earnings for the of good which had been derived from the unity year lately ended amounted to no less than 62227. which existed consequent upon the foundation of The Central Society (the Red) had been for some the College of Dentists, and also giving same valu- OXFORD LOCAL EXAMINATIONS.-The numtime self-supporting; and the others, it was hoped, able advice to the students, the Hon. Secretary ber of candidates who have sent in their names would become so by careful management. The Rag read the Report, which stated that during the four for the Oxford Local Examinations this year, Brigade went on well. Thirty-four boys and years that the institution had been in existence 54 is 1071, a number slightly in excess of last year, trucks were at work; and since Lady-day. 1862, pupils had attended the lectures, some of whom when there were 1052. Of these 1071, 795 82 tons of various kinds of stuff had been collected. were still in the school, but the majority had The Committee hoped to make the brigade self- entered the dental profession, either in practice or former being an increase of 39, and the latter a are junior candidates, and 276 are seniors; the supporting. The Refuges, which take in children as assistants, and during the past season nine new decrease of 20, as compared with the previous from ragged schools, continued to be very useful to pupils had joined the school, and some of them year. Of the 276 senior candidates, 218 offer the Union, but some were badly off for want of had already gained prizes or certificates of honour. themselves for examination in the rudiments of funds. Very few emigrants had gone out this year The Committee regretted that it was the last time faith and religion, 36 in the Scriptures only, 271 at the expense of the Union, but good news con- they should meet under the auspices of the Council in English history, 131 in Shakspeare and Bacon, tinued to be received from most of those who had of the Dental College, and in parting expressed 63 in political economy, 248 in physical geography, previously gone out through the Society's efforts. great gratitude to them for their liberal encourage- 177 in Latin, 76 in Greek, 189 in French, 29 in Meetings for Mothers and Fathers were more nume-ment of the school. The school would not, how- German, 224 in Algebra and Euclid, 106 in the rous. The Penny Banks and Clothing Clubs had ever, fall to the ground, as it would be joined with higher mathematics, while the number in the increased since last year. The former numbered the National Dental Hospital. The Chairman then physical sciences is very small. As many as 47 $8, with 30,000 depositors. The balance in hand distributed the prizes as follows:-By the Council, offer themselves for examination in drawing, but at Christmas was 15107. The Clothing Clubs num- General proficiency, gold medal, R. Harrison; cer- only 9 in music. Of the 795 junior candidates, bered 63. 172 schools and refuges reported an tificate of honour, J. Coles. Operative dentistry: 592 offer themselves for examination in the rudiaggregate income for the past year of 29,6361.; Two silver medals, H. Smith; and silver medal, ments of faith and religion, 150 in Scripture only, sixty-nine schools were reported to be in debt to F. Henry. The following were the class prizes:- 574 in Latin, 160 in Greek, 530 in French, 56 in the extent of 21607.; the finances of the Union were Anatomy and physiology, F. Henry; dental sur-German, 677 in Algebra and Euclid, 231 in the also reduced owing to the war in America and the gery, H. Harrison; dental mechanics, R. Harrison higher mathematics, 91 in mechanics, 71 in chedistress in Lancashire. The receipts during the and J. P. Webb; comparative anatomy, B. Har-mistry, 234 in drawing, and 43 in music. past year, including a balance of 1239l. 1s. 8d. at rison; principle of surgery, R. Harrison; chemistry the commencement, amounted to 59081. 9s. 5d.; and metallurgy, R. Harrison and J. P. Webb. and after providing for the necessary expenditure, Messrs. Stuck, Coles, Henry, Robinson, Webb, and 1 balance of 5617. 7s. 4d. remained in hand. The Zingrof, also received certificates of honour. A oble chairman then addressed the meeting at some vote of thanks to the President closed the proength upon the benefits conferred upon the com-ceedings. nunity by Ragged schools. He remarked that at heir nineteenth anniversary meeting there was othing to record but satisfactory results, the facts eing patent, the results manifest, and the record rue. He wanted not only to maintain the present ystem, but to extend it, as even in the districts of he schools a great deal was to be done. Having eferred to the operations of the Rag Brigade, which e thought might give employment to 1000 boys, e concluded by appealing to the meeting for aid, order to maintain and extend the usefulness of agged schools. On the motion of the Bishop of The Secretary having read several letters relating oulburn, the report was adopted. After addresses to the proposed Registration Act, it was Resolved, om several speakers, a resolution was carried to e effect that to continue the work more funds id more extended agency was greatly required. A te of thanks to the chairman closed the meeting. THE SUNDAY-SCHOOL UNION. -The annual blic meeting in connection with this union was ld, Monday, 11th May, in Exeter Hall. In the It was Resolved, That an Address of Condolence avoidable absence of the Hon. Arthur Kinnaird, should be presented to Mrs. Turrell on the lamented P., the chair was occupied by Mr. H. Lee, of decease of her husband, Dr. Turrell, one of the Iford. The Hall was densely crowded. The founders of the College, and the first President of port, which had been agreed to at the Members' lits Council. COLLEGE OF PRECEPTORS. UNIVERSITY COLLEGE, LONDON. THE distribution of the prizes to the students of the Faculty of Medicine took place on Monday, 11th May, in the theatre of the College, under the presidency of Dr. PARKES, F.R.S. Professor SHARPEY, M.D., F.R.S. (Dean), read the Report, which referred to the progress of the college in satisfactory terms, and deeply deplored the loss of Dr. Walsh and others, whose services had greatly promoted the interests of the A Meeting of the Council was held on the 2nd that the consideration of this question, and espe- The Diploma of Licentiate was conferred upon The prizes were then awarded in the following order :Atkinson Morley Surgical Scholarship, 457. per annum for three years (June 1862)-William John Smith, of Basingstoke. Longridge Prize of 401. for general proficiency in Medicine and Surgery-William Henry Griffin, of Banbury. Filliter Exhibition in Pathological Anatomy, 301.-Thomas Griffiths, of Carmarthen. Dr. Fellowes' Clinical Medals, Winter Term, 1861-62-Gold Medal, J. Talfourd Jones, of Brecon, South Wales; extra gold medal, Frederick Thomas Roberts, of Carmarthen; silver medal, Richard Dawson, of Brighton. Anatomy and Physiology, Professor Sharpey, M.D., F.R.S. (Dean)—Gold medal, Bryan H. Anatomy, Professor Ellis-Senior class, gold medal, Charles Bradley, of Nottingham; first silver medal, William Snow; second silver medal, Philip B. Mason, of Burton-on-Trent. Chemistry, Professor Williamson, F.R.S.-Gold medal, J. Pearson Hughes, of Landovery; first silver medal, Percy John Harding, of London; second silver medal, John M. Whitwell, of Kendal. Comparative Anatomy, Professor Grant, M.D., F.R.S.-Gold medal, John Comyns Leach, of Crediton, Devon. Tables" now issued enable us to make some cor- The returns for Scotland having been also revised, the population of Great Britain on that The total population of England and Wales and day is found to have been 23,271,965; and the islands in the British seas (excluding the army and returns for Ireland, when the revision of these navy abroad), as then estimated, was 20,205,504, also is completed, will bring the population of viz., males 9,825,246, and females 10,380,258; the United Kingdom, as above stated, to above while the distribution of these was-England and 29,000,000. In Scotland the disproportion beWales 20,061,725 and islands in the British seas tween males and females is still greater than in 143,779. The correct figures are total popula- England or Wales. In the whole of Great Bri tion (excluding as above), 20,209,671, viz., males tain, with the islands in the British seas, the 9,842,399, females 10,367,272; of which Eng- excess of females over males in 1861 was 687,471, land and Wales have-males 9,766,259, females to which the Irish returns, according to the 10,289,965; total 20,066,224; and islands in unrevised abstract, have above 150,000 to add. the British seas-males 66,140, females 77,307; On the census night 62,430 persons were on total 143.447. The total of the population of the board vessels in the harbours, rivers, and creeks population of the United Kingdom is-males of England and Wales, without reckoning per 14,097,208, females 14,939,300; total 29,036,508, sons in barges on canals; in the metropolitan including the numbers for Scotland (revised), district 8,084 persons were on board vessels in males 1,449,848, females 1,612,446; total 3,062,294, the docks and the Thames. In England and Wales and Ireland (unrevised), males 2,804,961, females 124,962 persons were in workhouses and work2,959,582; total 5,764,543. house schools, 13,456 in hospitals, 24,207 in These alterations make corresponding differences lunatic asylums, 26,395 in prisons and reforma. in the figures which represent the increase of the tories, 23,593 in orphan asylums and other prinSurgery, Professor Erichsen-Gold medal, Her-population that has taken place since 1851. With-cipal charitable institutions, without reckoning in out repeating the incorrect figures of last year any instance the official staff in charge of these ostitutions; 80,839 persons, military, and families may state that the increase is, for England and Wales, 2,138,615, viz.-males 995,034, and females) of military, were in barracks. The population of previously been increasing, has, in the ten years the Isle of Man and the Channel Islands, which had under review, hardly maintained its number, ex cept by an increase of the military force. Practical Physiology and Histology, Professor Harley, M.D.-Silver medal, Philip B. Mason. Medicine, Professor Jenner, M.D. - Gold medal, Palemon Best, of St. Ives, Cornewall, first silver medal, John Hannon, of Canterbury; second silver medal, Athendore De Negri, of London. bert Everitt, of Norwich; first silver medal, Alex. Bruce; second silver medal, Samuel Mills, of Huddersfield. Dr. PARKES, in addressing the students, said he thought he would have their hearty acquiescence in congratulating the successful competitors. They had acquired the prizes by dint of industry and perseverance. He trusted they would not consider the rewards as signals for cessation of labour. He would also congratulate the unsuccessful competitors, however paradoxical might appear his doing so, for he was confident that failure would be an incentive to fresh exertions. A vote of thanks to the Chairman then closed the proceedings. TESTIMONIAL TO A SCHOOLMASTER.-A testimonial, consisting of a handsome timepiece and a service of plate, was presented on Thursday, the 7th ult., by the pupils of Harford House, Stoke Newington, to Mr. and Mrs. Pennington, on the occasion of their retirement from the management the management of the school, presided on the occasion; and several of the old pupils who were present, availed themselves of the opportunity to express their obligation for the interest which Mr. and Mrs. Pennington had always taken in their of that establishment. Mr. Stow, who succeeds to welfare. CENSUS OF ENGLAND.-The first volume of the census for England, which has recently been issued, shows the numbers and distribution of the people in the several parishes and places. 1,143,581. The population in 1801 was 9,156,171, A BILL has been introduced into Parliament for decimalising our existing system of weights and measures, and for establishing an accordance between them and those of foreign countries. The first and most important provision of the Bill is that "From and after the expiration of three years after the passing of this Act, the unit of the measure of length or lineal extension shall in all cases corsist of thirty-nine inches and thirty-seven thoa sand and seventy-nine hundred-thousandth parts shall be and is hereby denominated the new yard. of an inch of the imperial standard measure, and measures of extension whatsoever, whether the or the metre,' wherefrom or whereby all othe same be lineal, superficial, or solid, shall be de rived." The unit of the measure of surface shall be the cube of a tenth of a new yard, denominated the The unit of the measure of capacity shall be the new quart, or the "litre." 1821, 290,652; 1831, 393,388; 1841, 462,401; The publication containing detailed abstracts of The Bill has been prepared and brought a "v Mr. William Ewart, Mr. Adderley, Mr. Cob.. and Mr. Finlay. Just published, price 4s. 6d. each, 12mo, cloth, 1s. 6d. COM-DERREN'S DIALOGUES in FRENCH FRENCAL CORRESPONDENCE, & Collection and ENGLISH. A New revised and OXFORD LOCAL EXAMINATIONS, 1863. of Modern Mercantile Letters, with Translation on corrected by L. STIEVENARD, Principal French Master THOMSON'S SPRING; preceded by opposite pages. By T. S. WILLIAMS and JULES LAFONT. in the City of London School, &c. Also, at the same price, the same work in GERMAN AND ENGLISH. By T. S. WILLIAMS and CARL CRUSE. "Ample, varied, and well compiled."-Economist. William Wesley, English and Foreign Bookseller, HE ECONOMICAL WONDER OF THE THE DAY.-HAMILTON'S MODERN INSTRUCTIONS for the PIANOFORTE. 377th edition (70 folio pazes), 4s.; ditto for Singing, 23rd edition, 5s. Hamilton's Dictionary of 3500 Musical Terms, 70th edition, 1s. Clarke's Catechism of the Rudiments of Music, 77th edition, 1s. Robert Cocks and Co.'s elegant Piccolo Pianos, in walnut or rosewood, 64 compass, warranted £25. each. Drawings and price lists gratis and postage free. By BRINLEY RICHARDS. Song, with chorus ad lib., 3s.; ditto, as a 4 part Song, 2s. per score. GOD BLESS THE PRINCE OF WALES. London: ROBERT CоCKS and Co., New Burlington St., publishers to the Queen and the Emperor Napoleon III. "We have seen no other book so well calculated to nake a complete Fren ch scholar, as M. Havet's admirable Licomprehensive work. Where the French idioms are #all puzzling, and where th two languages materially fer, M. Havet is exceedingly happy in elucidation; and any of the gross and absurd mistakes which Englishmen 1 France are perpetually making, will be altogether veided by the students of this valuable work."-English ral of Education. M. Havet's popular French Class-Book' is by far the WILLIAM TEGG, Pancras Lane, London, E.C. Third Edition, corrected, with Appendix incorporated, A COPIOUS PHRASEOLOGICAL ENGLISH-GREEK LEXICON, founded on a MR. LOWRES'S ENGLISH GRAMMATICAL GE Just published, in 12mo, price 3s. 6d. cloth, By the same Author, in 12mo, price 2s. 6d., ust published in 1 vol., 8vo, of nearly 1000 closely A HISTORY OF INFUSORIA, in cluding the DESMIDIACEE and DIATOMA CEE, British and Foreign. By ANDREW PRITCHARD a Life of the Poet, and accompanied by Notes Critical, Explanatory, and Grammatical, Remarks on the Analysis of Sentences, and numerous Illustrative Examples. Edited, for the Use of Schools, by WALTER M LEOD, F.R.G.S., M.C.P., Royal Military Asylum, Chelsea.' Also, by Mr. M'LEOD, on the same plan, price 1s. 6d., By the same Author, post 4to, pp. 32, price 2s. "We cannot too strongly recommend the work."-Pupil Teacher. London: SIMPKIN and Co. This work is devoted to a History-based upon the Elementary Arithmetic, with Rules for Mental and Pracresearches of British and Foreign Naturalists-of each tical Calculations; and a Course of Fractional and Proporgroup of organisms comprised by Ehrenberg under the tional Arithmetic, an Introduction to Logarithms, and term Infusoria, including the Desmidiace, Diato-Selections from the Civil Service, College of Preceptors maceæ, Phytozoa, Protozoa, Rotatoria, and Tardigrada. and Oxford Examination Papers. This is followed by a systematic description of the ANSWERS to the above, separate. Price 6d. several Families, Genera, and all the known species, | recent and fossil. The present edition has been greatly enlarged, and is illustrated by nearly 2000 magnified West, F.L.S. II. EIGHTH EDITION 12mo, price 1s., at sild and practical production of its kind. It con- figures. The New Plates on Diatomacea are by Tullen EXAMPLES IN ALGEBRA FOR COLLEGE OF PRECEPTORS.-AGENCY DEPARTMENT. SITUATIONS VACANT. Qualifications Required. $7. English and French (good), junior Latin. In Cumberland. 33. A junior Master to teach Drawing and Mapping, and elementary subjects. In the S. district. 15. Junior Master, or Articled Pupil. In the S.W. district. 30. (i.) Drill Master. (i.) Classics and Mathematics. A Graduate of Cambridge or Oxford. Salary from 801. For Midsummer. No out duty. In Kent. 3. English subjects, Drawing, junior Mathematics, junior Latin, French and German desirable. Salary 401. For Midsummer. In Denbighshire. 16. Elementary Classics, Mathematics, and English. Time given for rivate study. A Junior. In Surrey. 17. A junior Master. Age about 20 years. In the N. district. 19. Mathematics, and general subjects. Salary about 401. A Catholic. In the W. district. 3. Junior Latin and French, with English subjects. Salary 30l. For Midsummer. In the E. district. 19. Junior English Master. In Kent. 10. English thoroughly, Latin (Virgil, Cicero); junior French desirable Salary 40l. to 50%. In the S. district. 2. (i.) Classics, Mathematics, and Chemistry. Salary 607. (ii.) Drawing, Gymnastics, Arithmetic, with general subjects. Salary 301.to 401. In Warwickshire. 4. Junior Master. In the S. District. 6. French. Salary 301. to 40%. In Kent. 7. Latin, French, and Mathematics. Salary 401. No. in Qualifications required. 1138. (i.) French and English. Salary from 301. (ii.) English Master, 6 books of Euclid. Salary from 301. In Somersetshire. 1139. English Governess to teach French grammatically and conversationally, Music and Drawing to advanced pupils. In the E. district. 769. German, French, Spanish, Latin, and Drawing. As Visiting Master. 1071. Classics, Mathematics, & general English. M.A. Lond. Visiting, or 1210. Drill Master. Sword Exercise, Gymnastics, Deportment, and Fencing. Visiting. 1212. French, German, Classics, and Moral Philosophy. Visiting Master. 1221. Classics, Mathematics, Surveying, Fortification, and French. As Visiting Master. 1239. Piano and Singing. A Lady, formerly a student of R.A.M.Nonresident. No. in THE EDUCATIONAL TIMES. College of Preceptors' Agency Department-Continued. Qualifications. 1301. Classics, Mathematics, French, and English. Visiting Master, or for 1312. Classics, Mathematics, and English. A B.A. Lond. Univ. Visiting, 1313. Classics, Junior Mathematics, and English. Visiting Master, or for 1484. German, French, Italian, Drawing and Painting, Polish Language and An M.A. Lond. 1572. Drawing, Painting, Perspective, &c., Writing, English subjects. 1575. Classics and Mathematics, French and Italian. Visiting, or private 1607. German, French, Classics, Mathematics, Gymnastics, and Music. A 1638. Drilling or Duty Master. 10 years in the army, and retired as a 1645. French and German. Visiting, or Private Pupils. 1724. English, French, Music, Piano and Singing, Rudiments of Latin, German, and Mathematics. Salary 50l. Age 27. An A.C.P. A Lady. 1728. Mathematics, Latin, and English. Salary 100%., or 150l. non-resident. Age 26. An M.A. Lond. Univ. 1731. German, French, and Music. Visiting Master. 1745. French, German, and Drawing. Salary about 301. Age 30. 1747. Classics, and English Literature. Salary 80l. to 1007. ; or private pupils. 1748. Classics, Mathematics, and English. Visiting, or private pupils. An M.A. Aberdeen. 1750. French, German, and Drawing. Visiting Master. 1757. English (thoroughly), junior Latin, Arithmetic, junior Algebra, and Book-keeping. Age 44. Salary 607. 1758. Chemical and Mechanical Sciences, Mathematics to Trigonometry, 1760. Classics, Prose and Verse Composition, Mathematics, and Mechanics. 1762. Mathematics, junior Classics, French. Age 23. Salary 1007. 1768. Mathematics. Visiting. 1770. English, junior French, junior Classics, Euclid (3 Books), Algebra. Age 23. Salary 40l. to 50%. 1771. English, Writing, Book-keeping, Euclid (first 6 books), Algebra, Plane Trigonometry, elementary Mechanics, junior Classics. Age 32. Salary 1007. For Midsummer. 1772. English, Latin, French, Dutch, Music for juniors, Arithmetic. Age 24. Salary 357. to 401. For the Continent. 1773. Mathematics (High), junior Classics, elementary Natural Philosophy, and Chemistry. Age 26. 27. per week. 1775. Classics, English subjects. Euclid (1st & 2nd bks.), Arithmetic. Visiting. 1776. Classics, junior Mathematics, English, and French. Visiting. 1780. English, Mathematics, Trigonometry, Book-keeping, Land-surveying, Chemistry, Music, Organ, &c. Age 26. Salary 1007. 1785. English, Mathematics to Differential Calculus, junior Classics, French, and Music. Visiting Master. Age 28. 1786. Classics and Mathematics, Differential and Integral Calculus, Mechanics, Hydrostatics, &c., English Composition and Literature. Age 19. Salary 50%. 1795. French and German. Age 25. Salary 40l. to 50l. 1797. Classics and Mathematics (High), English, and French. Age 38. 1798. French, Music (Pianoforte), Drawing (Mechanical, Water Colour, &c.), 1802. Classics, junior French, English subjects, Arithmetic, Euclid, and 1808. Mathematics. Visiting. 1810. Mathematics, Latin, and French. Age 26. Salary 701. 1811. English, French, rudiments of German, and Music. Age 22. Salary 307. A Lady. 1813. Mathematics, Classics, Fortification, and English. Private teaching, or the Management of a School. 1814. French, German, and Drawing. Visiting. 1815. Classics, Mathematics, Natural Philosophy and Chemistry, English subjects. Age 20. Salary 701. For Midsummer. 1817. French, Latin, English, Book-keeping. Visiting, or private pupils. No. in Qualifications. June, '63. 1818. English, French, German, Latin, Arithmetic, Algebra, and Drawing. Age 18. Salary 251. 1819. Classics, junior Mathematics, French, and English. Age 17. Salary 301. For Midsummer. 1820. German, French, and general subjects. Holds a Government D ploma. A Lady. 1821. Classics, Mathematics, English, and French. Age 25. Salary 100%.; non-resident 150l. 1822. Classics, Arithmetic, Euclid, English Literature. Age 19. Salary 401. 1823. German, French, Classics, Mathematics, Natural Sciences. Age 30. Salary from 50l. to 80l. 1825. Middle Classics and Mathematics, Arithmetic, Euclid (3 books), Algebra, junior French and German, English. Age 34. Salary from 59. to 60%.; or non-resident, 1007. 1827. Classics, Mathematics, and English. Age 20. Salary 201.; or nou- 1828. Junior Mathematics, Classics, English, and French. Age 22. 1830. Mathematics (High), junior Classics, Chemistry, Land-surveying, and 1832. Mathematics (High), Mensuration, Surveying, and Mapping, Archi- 1835. French and Spanish. Age 32. Salary 401. 1836. Junior Classics, French, and Mathematics, Writing, and English. Age 23. Salary 551.; or 851. non-resident. 1837. English (thoroughly), French and German grammatically and con versationally, Italian, and Music. Age 32. Salary 60l. to 1001. A daily Governess. 1838. English, junior Classics, Arithmetic, Algebra, Euclid (2 books), Plane Trigonometry, and Mensuration. Age 25. Salary 601. 1839. Junior Classics, Arithmetic, Algebra to Simple Equations, English subjects, Writing, French Graminar. Age 39. Salary 30l. to 401. 1840. Elocution, Classics, junior French and German. resident or Visiting. Age 28. Non 1841. Classics, Greek and Latin Prose Composition, English subjects, 1844. English, Writing, junior Classics and Mathematics, elementary 1845. French, German, Italian, Spanish, Classics. Visiting or private. 1846. English, Arithmetic, &c. Age 19. Salary 251. Age 23. Salary 707.; or 100%, non-resident. An M.A. Aberdeen. 1818. German, Music, Drawing, Mathematics, History, &c. 1849. French and German, Mathematics, Plane and Spherical Trigonometry, Conics, Calculus, Mechanics, &c. Age 25. Salary 707. Age 26. 1850. Classics. Age 25. Salary 801. A B.A. Camb. 1851. English, junior Latin and French, Architectural, Mechanical, and Landscape Drawing, Mapping, and the rudiments of Music, Arithmetic, and junior Algebra. Age 25. Salary 401. 1852. German, French, Classics, Mathematics, and History. Age 27. Salary 1007. 1853. English generally, &c. in a family or on the Continent. Age 20. 1854. Classics, Prose and Verse Composition, Mathematics, Statics and 1857. English subjects, Arithmetic, Algebra, Euclid (4 books), French 1859. Classics, Mathematics, English, &c. Requires a Tutorship during 1860. German, French, junior Mathematics, Geography, Physics, Chemistry. Salary 801. 1861. Junior Classics and Mathematics, French grammatically and conve 1862. Junior Classics, Mathematics, and English. Age 21 For the Printed and Published by CHARLES FRANCIS HODGSON, 1, Gough Square, is the |