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IMAGE EVALUATION TEST TARGET (MT-3) 1^ 1.0 lî^ >u Uii 12.2 u 1^ m luU 40 12.0 I.I 11.25 V] :i>' V] / VI N> /A i^\^ > \ 'W 7 Hiotographic '^ 33WISTMAINSTRUT Sciences WIISTIR.N.Y. U<>IO (7It)•73-4503 Corporation 4^ CIHM/ICMH W^ CIHIVI/ICIVIH Microfiche Collection de [/. Series. microfiches. Canadian Institute for Historicai IVIicroreproductions /Institut Canadian de microreproductions historiques Technical and Bibliographic Notes/Notestechniques et bibliographiques The c to the The Institute has attempted to obtain the best L'Institut a microfilm^ le meilleur exemplaire original copy available for filming. Features ofthis qu'il lui a 6t6 possible de se procurer. 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Those too largeto be fiimis A des taux de rMuction diffirents. entirely included in one exposure are filmed Lorsque le document est trop grand pour dtre beginning in the upper left hand corner, leftto reproduit en un seul clichA, 11 est film6 A partir right and top to bottom, as many frames as de I'angle supArieur gauche, de gauche A droite, ire required. The following diagrams illustratethe et de haut en bas, en prenant le nombre method: d'images nAcessaire. Les diagrammes suivants illustrent la mAthode. >y errata ed to 1 int ne pelure, iqon A i' •> >' Pi- : TO AVOID CONFUSION, ASK FOR MILLEE'S SWINTON'S LANGUAGE LESSONS, The new Authorized Grammar, MILLER'S SWINTON'S LANGUAGE LESSONS, BYJ. A. McMIIXAN, B. A. The only Edition prepared as an Introdiictory Text Book to Mason^M Orammar. thIenMPilalerrt>i*i Eodfi^tipoenooeflTijaangrueagne LoewssomnsaTdheetDdeefultnllctalloininrlothf IVlufiou's Graiuniar. TheClassificationofPronoanA, Verb«9 ITIoods,and faciierai Treuiuieui are tLesame as in Itlasuu's Text Book. IVIIIlor's Edition isprepared as an introductoryTextBook for MuEon's Grauimur, the authorized book for advanced clauses for PublicSchools, sothatwhat is learned by a pupil in ancloiiicu- tury text-bookwill nothavetobe unlearnedwhentiioadviinced book is used, a serious faultwithmanyofthegradedI'ublicSchoolBooks. iniller'H Edition contains all the recent examinationPapers setforadmission to Iligh Schools. IfllLLER'S NWIIVTOISfS LAISGUAGE LES80NM isautliorizedby the Education Department of (Jntario, is adopted by the Schools of Montreal, is authorized by the Councilof Public Instruction, Manitoba. To the President and Members of the County of Elgin Teachers Association Inaccordiincowith amotionpassedat thelastregular meetingof the Association, appointing the undersigned a Oommittee to con- sider the respectivemerits of different English (}rammara, with a view tosuggest the most suitable one for I'ublic Schools, we brg leave .0 report, that, after fullycomparing the variouseditions tiiut have lioen recommended, we beliiAre tliat "Miller's Swintoii's Jjangunge Lessons*'is best adapted to tlie wants of Junior pupils and would urge itsaiithori/.ntionon theUoverumuut, and its intro- duction into our I'ublicSclioola. St.Thomas, Nov. Suth, 18;d. A. F. BUTLER, Co. Inspector. J. McLI'lAN, 'Iown Inspector. J. WILLKll. M.A., iioad Master Rt Thomas nigh School. AN.. SM.TECEALMIP'!,BBELA.L',, CoA.yloifiiEelrgiHniglihkloSdcutlioSoclh.ool. It was—moved and second(>d that the report be received and adopted Carried unanimously. I'i-ic3e, Olotli lilxtirn. «r>e. ADAM MILLEE & CO. ' THE EPOCH PRIMER OF HISTORY. £:iVO]L.ISI-I l^-'ingan IntroductorjVolumeto the series ofEpocha ofEnglishUistoryt bj IhoRev. MANDELLCKEI'. HTON, M. A., latoFtUow andTutorofMer' toa College, Oxford; Editorof'Epochs of English History.' Fc)>. 8vo.pp- 148,price3ucts. cloth. 'Inmakinghistoryattractivetothe 'Asalltheleadingf—eatures—political, youngtheAuthorhasprovedhis apti- social and popular are given with tude inadepartment of literature in much impartiality, it can hardly fai^ wliichfuwdistinguish themselves tobecome a» lool claos-bonkofgreat Thenarativeissosustainedthatthose utility.' WORCKbTEBJoiTBNAIi. who take it up will have adesireto *ThoRev. MandkllCnEiOHioMhas readittotheend.' really succctdedin making anadmir- DUMDKEAdTXBTISXB. able resumeof thewholeof the prin- cipleeventsin English history, from 'Thisvolume is intended tobe in- thotimeoftheRoman Invasiondown troductory to the Epocha of English tothepassing of the Irish Land Act History, andnothing could be hotter in 1870. Interesting, intelligible and abdoaopktiesdadfmorirtahbaltypduornpeosien.allTrheespelcitttsl,e ctlheoare,leitmewnitlalrpyrsocvheooolfsgorfetahtekvianlgudeomi;n andoughttohavetheeffectofsending andthoseadvancedinyearsmightfind pupils to other and fuller sources of it very hanciy anduseful for casual historicalknowledge.' Scotsman. reference.' NokthamptonHerald. 'MrCei;ighton'8introductiontothe *This volume, taken with theeight EpochsofEnglish History covers in smallvolumescontainingtheaccounts ahumoredand forty pages more than of tho different epochs, presents what 1800years, but having regard to its mayberegarded asthemost tliorough extreme condensation is wdl worthy course ofelementary EnglishHistory oi notice. On the whole the work is ever published Well suited for admirablydone, and it will no doubt middle class schools, this seriesmay obtain avery considerablesale.' also be studied with advantage by XrUlLffMVX. seniorstudents, whowillfind, instead sca*rAcnelyadfmaiilratboleobltiattilne abocooknstihdaetracbalne foafcttshowmhaiscshoifsatpopoaroefnttelnypurnecsoennnteecdteidn popularity,!notwithstandingthe great such works, a careful tracing-out of numberofprevious attempts made to therealcurrentof history, andan in- relatethehistoryofEnglandinavery telligibleaccountoftheprogressofthe eesetleevmpvareaoedenlcnestlhrtsssime.noio*igbdmseepacraaraocestmcsleoeilukynectlhiyanIpttintoeseltrlblgisieiig,Wsviakebtellbntperubiatthoctotufoiayamvneones,u.utinchongher- wcnaaonot*drmiTkmotheeneaonacndhnweedhrdEoisntlgstaeloniiAnxsstsibcthhorkiouitresuhdnstiotibsotomteniofsacnri.eyyn'JdoouaffbonesrwpuAasiirtatiefha.neebtlyser children, inasmuch as tho severjil pEunb*glTlihiseshheedxHcuiesnltdloeernrty,tsheeerditieistteleodfobflyiEtpttloheecbhoRaoevko.sf wdverotilatiutlmesen,,swaiantrdheoucstairbmeepilhnyagsaovnbederelnionattdraelkldiegwniibtjtjyoh MbteeAniNnDbgEytvniaiLriiwCorucskoimaopbhlleettoaenn,,dMetm.hieAn.eE,ndatintwodrriWtrheiartss- btnhraeimncbgoyem-vpperaremyhbeysnusbiejolenecmtoeftnrtteh,aetewydhoiuoncngh.wiistThhisoeno rcloerdnecptiahsroeedEspauonmcmihantrrPyordioumfcettroh,reycwvohomolpluremiess,ienrcigaelsa- ocwfhotirelkndsriecnnoqnuissepsietcniutooinuresalryeicnaebrstehainistnt,loyraainmesdongtfshte lpTirhneeeheissnpsetichivaaetlivvtialgeiuwveeoosffttthhheiescroheiusartdsoeerriocfaalmceooummt--- tlbihrteitlnbegesvsotltuchifiei<ts<hernoioi'kwSinutdondyeaertcnloiotssiesc,uee,di.nwhfuTillclihye orable events and epochs and enables equalineveryrespect tothe preceding htriimbutteodseteo hmoawkethtehyehBarvietisehacNhatcioonn ounseesf,ulantodeitvewrilylobnoefwohuondmaexyceheadvi«nsgltyo whatitisattheprLeisTenXtRAdaByY.Would teachEnglishLhSiAfiMtIorNyO,'TOM CoVRIlrR. : ^^^ gibum JllilUr k (to's IlTuthcmatkul Scries. ELEMENTARY TRIGONOMETRY. BY HAMBLIN SMITH, M.A., J, OF OONVIIiliB AND CAIUS COLLKaK, AND LATK LECTURKR AT ST. riSTKR'S CULLEQH, CAMliRlDaR. VEW EDlTIoy. TORONTO ADAM MILLER & CO. 1879. Q ,/ ^ 111") Entered according to Act of Parliamentof Canada,in the ofllce of the Minister ofAgriculture, byAdam Miller ft Co., intheyear1878. rftUITKU AT TUB QUAHOIAN OFriOB, 4 COURT BTRBBT^ TORONTO. PREFACE I HAVE attempted in this work to explain and illustrali' tho principles of that portion of Plane Trigonometry which precedes de Moivre's Theorem. The method of explanation is similar to that adopted in my Elementary * '1 Algebra. The examples, progressive and easy, have been selected chiefly from College and University Ex- amination Papers, but I am indebted for many to the he Minister works of several German writers, especially those of Dienger, Meyer, Weiss, and Wiegand. I have carried on tho subject somoAvhat beyond the limits set by the Eegulations for the Examination of Candidates for Honours in tho previous Examination for two reasons: first, because I hope to see those limits extended, secondly, that my work may be more useful to those who are reading the subject in Schools and to Candidates in the Local Examinations. HAMBLIN SMITH. J. Cambridge, 1870.