North Carolina Newspapers

I , . 1i hi ! ii li-ni i irt i 1 II I - " 1 X I : 1 i mm ' a - 1 V l . , -'tw.x'lUfl : ' . E 1 X I I I . -. :.? . 7T . 1 . i - . --' VOL. I. ; UNIVERSITY OF NO iiTII-C AROLIN a CHAPEL HILL, fTlJESDAV, OCTOBER 15. 1833 ' JKrJ ' ; XO 8 'f' ' I i - PUBLISHED, WEEKLY ' 3 aa Qi CTaaj Under tlic supervision of the Professors f 07 ic university. Terms Threc JJollars per annum, "payable yearly ia advance, cr uur DoUars it payment be delayed six months after the connneiKvmeni of i each subscription jPar. Advertisements (which are limited to four co Iomnsj) inserted at the customary rates. f fj All letters shoul be directed to the publisher, at Chapel Hili.'Urange uoumy, ionnuaroiina. : ! LETTERS Remaining in the Post Office Chapel Mil, j j uu:ruiiL.K 1st, - B. Bovlan, James Ik. isle v,- Miss Betsy liillarJ, B. T. Burton, John F. Burton, Robert, BevilJ, Misa .Winifred,, P. Couch, Mrs. Mary Conilly, Maleohu G. Coiully, Thomas Cheek'& Aijaistead Cheek, Alexander, '2 Campbell, Robert Campbell, Hugh Carson, William Carson, Wm. or "William Oldham ' Cox, Micajah P. Dilliard, Sarali, 2 Diihard, Frances IXuglas, David Duriiam, Matthew Durham, , William L. 1 F. ' . ' ' II. Horton. N. H. Hill, Thomas. . - J. ' '; Jones, Joseph S. - 3 M. McPheeters, Margarett A. Aloore, "1 hoinas J. P. Penderrass, John E, 7 Price, John ' ' . . . Price, Archibald Pearson, Mary. a. Quails. Jolm - ,R. : r Riggsbv, John . 'S. Stroud, Bryant, 2 Sumner, Thomarf. T. Trice, George W. W. William!!, Richard Wilson, John. Fann, EUi'zabeth . Foster, Hillary, '2 5jT Persons '.applyhrg for any of the above letters, will please ay they are advertised." ' if ' i IS. C. PATRIDGE, P M XEiV STOic E NEW UOOliS. cfieap for Cash. NOR FLEET & HENDERSON respectfully1 in form the citizens of Chajiel Rill and the surroun ding country,-that thev have Just received from New York anJ are now opening, a new and splendid assort ment of French, Enjlish, India and American FALL and WINTER GOODS consisting in part, of the following articles: Dry Goods Cloths, Cassimcres, Nes tings, sdttinetts, flannel, padding, Circassians, bomba tetts, osnaburgs, Irish linen, linen camtnc hdkls, lawn muslin, lades and edgings, new style prints, calicoes, innam3, silks, belts, fan my and set ribbons'ot all sort pt'ntlemea's black and fancy hdkfs, .merino shawls arid iiJils, ladies' and gentlemen's gloved, do assorted hosie xy, gentlemen's pongee hdkfs, shawls and Iidlug, para sols, umbrellas, kid cloves, spool floss and threads, sow in silk, pins, needles, braids, tapes, furniture chintz, pocivet txoks, buckram, suspenders, tortoise-shell, bra ziiiian anu mocK. comis, tootn.brusiies, cologne and ia vender waters, coat and assorted pearl buttons. Domesticks Bleached and unbleach ci sliirtings and snectings, blue plaids, apron and fur niture cheeky bed ticking, &c. ; -' Hardware and Cutlery Scissors knives a!id-i)rks, j-ocket and pen knives, table and tea spoons, augers, snuuers, iocks oi various Kimss, tacks. files, hand-paws, gimblets, trvinij pans, currv combs a superior linn, razors, strops, spectacies, thimbles, t-a . i ? i i i iriys, suavpg ooxe, soap, Drune, screws, numnu-rs, hinges, brate knob locks, cast butts, drawing and cut- unj knives, snun boxes, snovcis ami spades, collee mills, axes pf a superior quality, chains, castings, ccc. ; ClOUllllST Genllemen's and ladies' cloaks, nijy made shirting, fine linen bosoms and col lars, stocfcslof a ujerior quality and of a new style, i Boot aild Shoes Gentlemen's la ie?, boys, feirls and infants bxts and shoes, ladies' lxt quality satih, kid, prunella and bronze shoes, gentle men's pumts, hecrro shoes, . c, . Hat4 and Bonnets GentemeTls, and boys' braver and fur hats, ladies' leghorn and new pattern str:iv bonnet. ; FancH Goods Breast pins, pencil ca ses, studs, dcntlemen's dirk" knives of a superior qualit, gehtlemen'sl walkincj canes, &c. ' " . . Cliinh, Glass Sl Earthen Ware We haven good stock of the altove articles. -Groceries Loaf, lump, and brown su gar, cotfeej tea, indigo, . copwras, oap, cnndlrs. riatme.-j, rrpix;r, alspicc, "insrer, iiowder. shot. lead. flints shoe blacking both liquid and paste, BROWN'S b::s rcH e w in g toba cc o, niokissi, liquors assoneti; alfo oajrinj, rore, and twine, cotton and wil cards, Jiair trunks, rastor oil, cimphwr, and salt? . Chaixl IhlU Oct, 8, 1833. 7 tf. ? ; Notice to Sheriffs. I fgHiIE Sheriirs of those Counties where a r Vote was JfcL takenjat the August Election, for and against a change nflftc Constitution, will please make returns' of tbe yofstd his Excellency the Governor, at Raleigh; and in. order to provide against the contingency of mis- carnage in the Mail, they will -please send the same to ' Joe also, at Salisbury, N. C. . Un behalf of the meeting held at Raleigh, THOMAS G. .POLK, Chairman. . September 23d, 1833. . . . 5-mt MRs.' F. L 'WRY resjctfullyinionnsherfriends ;and thp nnh!; g, t '- VI JiZ l Dili J J ' iJV.V Vi 111 -hajielHiU where she .is fiillv prepared to CUT, Leghorn, Bnntal)le &. Straw m the neatest manner and most approved FASHION; Jv V??r reason?ble tfrins. Orders , from a distance UankfuJy received and promptfyUtchded to. Chapel Hill, Sept. 17. J . 4mt. 1 f Cabinet Makinsr. 'HHE Sucribers having established them LI r ' ".'v..r U4 I iji rZ Si r r-r... . shelves at -MX- KslVI HOI Hill lnl,.,.l V... . !. r n-.ri-rn MAKLNU BUSINESS in all tits branches. Thev iuriusaetl with a well -selected, assortment of mate T.h! ania1prri,a,Td tainjke SidclHwnls. Ceaurraus, -Dies, LaruU-stands, Bedsteads and Wai-stanls U l;r Wa,ot and other woJ.. They rik for a Wort , -i! ie F'U-lic and promise t&t theii "'-'C Will hr ivv...i ...:! : t .i i onlibe i ,-'r vn iitanitss anu ciespaicn, auu COLLIER & WATSON. 1833 3 rt :cl teTuber 10 I LIME. 1 r "r licls of SHELL LIME, suitable for niaking mortar, foraIc by "Vtvl! irn R N- WARRICK. I Earthenw are,! China, Glass and Looking Glasses. T. JJ BARROW &. CO. Importers and Wholesale Dealers, -JVo. 8, Water-st. New York. fN.the above goods, respectfully invite the. attention of their frionds, and ihe Southern Merchants gen erally, to their Splendid jStock of Ware, just received by the late arrivals, comprising every variety of Fancy and Staple Goods, winch they are enabled to offer on the inost liberal and accommodating terms. Looking Glasses of e;ery description constantly on hand. . Particular attention will lc given to packing and for warding in the; most careful manner, and purchasers may rely on receiving their goods in order. -' All orders by letter punctually attended to. September JOth, 1833. . j 4 at Roanoke Rail Road' Line THE Mail Coach from Danville to Blakely will leave Danville ever3' Tuesday, Thursday and oundav morning, and arnve at Bfakely; next morning. in time to take the 8 o'clock Cars, and arrive in Peters burg by 12 o'clock of the second day: Kiny 'persons who may desire it can proceed on North with the great'j? mail, and reach anv ot !the Northern cities 2i hours sooner than by any other line, i The.Subscril)cr has established a line; from Hillslioroiih to Oxford, Running in connexion with Mr. Carbry's line from ijirrensljorough. Persons who niav desire to travel North, are informed thatlthe route from Green sborough via. Hillsborough and Qxlbrd to Blakefy, ' is the most direct, nearest, anil most expeditious which can be se lected, (which may bo scon by reference to the map of tlie United Mates.) ! . H ' The public are informed that the Subscriber has placed on this route comfortable Four Horse1 Post Coaches, - Good" Teams, and skilful drivers; and the public are as sured that this line runs m connexion with the Roan oke line from Danville; and the public is further assu red that no delay or inconvenience shall bevcxiK-Tienccd y those who may patronize this line. . f . 4 i This line will leave Hillsborough every Tuesday, Ihursrlav and 'isunday mornings, at o'clock, A. M. and. reach Blakely next mornings in time to take the o o clock Cars. i . ' ; t. . Both of the .above lines are how in good order,is the subscriber has i lately made considerable! Improvement both m exeditiou 5ind lor the comfort of those who may patronizeeithrrottheabovelir.es. ; , 'are froini Hillsborough to Blakely - - - : $?7 00 Fare froui Danville to Blakelv - - - - "iji7 (K) All baggage at the risk of the owners. i ' ; j . JAS. W.j JEFFREYS, Proprietor. i Red House, Caswell County, Oct. 7.t i7bt. t "':''-' Xotiee. -Lr'ii - rdHESubscriler, on takingieave of this St:de, has SL appointed Mr. JAMES C. 1J0LLAND his lawful attorney, to rtveiyo the rcs-idud' his debts to wuom ravnicni snouui oe iiuiih ui uei v .. inaee, whimjiu further notice: JOHN NEWTON. Ch;pVl Hillj Aug. 31,j 1833. . : 2tC. W ake l-orest Institute. S this !nsiitutio:i, according to the .announcement of the Board, : wilt coiimier.ee operations on the lirst of Fe!"ruary next,-it j will obviousiy.be ii.!i-hrtauf to the JLJard that the numWrol tnose de-irous of ent,rtn'g- at the period proposed, Miould lie known at-or Iw l -n the net meeting of the Convention. At this meeting arrangements wiil Ik made for the accommodation, vt' such as shall I hen have been received, and prekd.ljy for no more. , L hose therefore who de-nv to iniiKe tiie:,r ad mission certain, would do wejl to make application in season to the Rev. John Armstrong at Newborn, or to the Rev. Samuel Wait, now in the South-western part of the State. ! j ' Edenton; Sept. F03. . .. . 7 H3 The Baptist State Conven tion of North Carolina,! will t;ike place according to ap pointment, at jCarthUvlge Creek Meeting House in Richmond County, . comiu'Ticing on hrulay : belore ihe first Lord's day in NovcmU'r next. As it is now time to begin to m:iK.e preparations' for this occurrence, by appointing; Delegates, , and collecting Funds, we trust our brethren will give the subject that attention to which it is so "'clearly 'entitled. We probably do not ex press" too much whon'wd nav, that we look forward to the approach of t h wmeet i ng viHi an interest and a full ness of expcctatioirwnu7 which vc have never before anticipated the existenco ot any similar event. - Edenton, Sept. 7, 1S33. - ' 7 NeiViem and ilizactii City. THE.; Steam Bmt Johhf iSto- 7?ey,Capt. Green, has comihencetl her : reguiar trips between New- . r r: lH?rn and Eliza- ;XCSJa Kpth Citv. an.l will be! governed in 'her operations by "the following schedule- ; 'I - - ;. j FIRST TRIP. Leave Newbern ort AlontJay at 5 P. M.T Arrive at Elizabeth oh Tuesday in time for the Nor folk Stages, j .- i i - .J ! . Kcturni ng. ! Leave Elizabeth at 8 F. M. on Tues day, after the iNorfblk stages arrive, and reach New bcrn atG P. M. on Wednesday, in time for the depar ture of tf e Southern, j Vesternj and Nottherri stages. j SECOND TRIP. ; Leave New ber n on Friday; at 5 P. M. , Arrive at Elizabeth on Saturday in time for the arri val of the Norfolk Stages. . , . M in Nto'bero till Monday afternoon, the time of depar ture of the Southern, Western awl Northern stages. Travellers who adopt the Atlantic Route, via George town and Wilmington, through Newlern to '.Norfolk, arc informed that iby the present Steam Boat Route, there will be! a saving of one hundred and twenty miies and carriage, with a considerable reduction in the price of fare; and a great addition m point of comfort and convenience j Those who travel the Route viaFayeite ville and "VVay ncsbQrough to Norfolk, are informed that hat line is intersected to Wavnesborough by the Ka- vitrh line of I Stages at tliis !lacc, and thev would find it muchi to their interest and comfort to adopt this !route. I i !J. M. GRANADE.& CO. Agents. Newbcnl, Sept. VX 5- I - i u Aild othev Printing, executed neatly t this Office.. 'rfffBjTllI Rclu minsr.Lwe Elizabeth at 10 P.jM.bn Satur- dav, after the Norfolk stages arrive, and reach New- n;iges o P AT nr. sinTiK-.ir ! P;iarnfTpr will rrmain f pressl . ity. rillHE LECTURES in. this institution will com JJL mence as usual, on tne nrst. ivionday of JNovem ber, and terminate on the first Saturday in March. 1 lie courses are- r j i Anatomy and Surgery, by .'Dr. Dudley Institutes of Medicine and Clinical Practice: by Dr, . Ualdwell, . L . I ; , Theory and Practice of Physic, by Dr Cooke. i Obstetrics and Diseases of Women and Children, iy ur. Kicnarusorj. . .! -. Matcria'Medica and Medical Botany7 by Dr Short Chemistry and Pharmacy, byjr. Yandell. ! !- During the entire termthe jProfessor of I Anatomy and Surgery lecturejrnne tirnes each wek, and the other Professors thvHyC Sabbaths excepted.-. The fees to the entire with matriculation and the use lot the Ubr; , amount to $110. The graduation ifee j is LTlie Cholera having left it, cxington now cnjqys its ordinary Jicalth. ' ' By order of the Faculty, : C. W. SHORT, M Lexington, Ky. July 37. H D. Doan.' 5- nflHE Lectures in tlie Medii-al Departifitnt of this Jd. , institution will commence' on the hfsUMondav of October, and continue until the first of Marchi Nathaniel Potter. M. D. Patholbgy and lie Practice of Medicine. I i Richard Wihnot Hall, M.f D Obstetrics and the diseases df Women and Children. xauiaii jt. omiui, m. u. ourgery..' Julius Ducatel, M.' D. Chemistry and Pharmacy E. Geddings, M. D. Anatomy and PhvsloloyL ' j ' Robley Junglison, M. 1. A Materia iuedlcn-, Thera iieutics, Hvffiene, and .Medical Jurisprudence. "I : i ! Clinical Lectures will lie given at t he "Baltimore In- Jirmary, by the Professors of the Practice of medicine and Surgrry.-: . ' :! ; . : : ; j. 'f ' ' According to a recent enactment of tlie (Board ol Trustees, Candidates for the decree of Doctor! of Mecli I cine are required to 'attend two lull .eioursest of the Lrc-: ture of each' Professor in this! Institution!- or havinsr attefided one! full course' in some 'Se.iwdll whtnkvithe same branches are taurht.'a se'cond..m this. Itiis uh dcrslool, howevcr7 that t esc students whlt lihyeta'lrr'a dy attend'vl onecodrseof Lt-ctures in the Univcr$itvi of jMarvland, shall l e entitled to hc privilege b gradtia tiou under the former regui Jtioirs. . f I I E. GED DINGS, M. D., Dean Baltimore, July 5. -' ' i 5 t Medical College of Georgia.! THE Lectures in tins Institution, situated at Au gusta, will cohimencc on the. third Moudat, (the Jlst) of next Octolier, and continue for six" months j The Professors are . :' ' ' - : L. A. Dugas, M. D., of Anatomy and P-hyjsioiogy.. -' Jos. A. Ee, M. D., Therapeutics and Matem Axc- dica. . -'V': "'".' : .'A L. D. Ford, M. D.. Chemistry and Pharmacy. , AL AntunV, M. D., Obstetrics and Drsease 6-fVWo- men anu ouuuren. : ? , A. Cunningham, M. D, Institutes and Practice of Medicine. "I . - " ; . - ' r:' :' Paul F. Eve, M. D., Institutes and Practice of Sur- gO-y : And George M. Newton, M . D., I'ro.sector and pe- 'iiioustrator ot Aliatomv. In addition to the above, C inical Lec;tu re? will be deliemi; in the i City ; Hospit4r,'1flril every f'acilitvafv lorded the student tor practical v i icripurf t The fees are, tor the six ic ids . Sioo ,10. .' j '. 5" ; : Graduation, J ' Matriculation, Good Hoard, with. Lodging, may be obtained at $13 p r month, t . For particulars see Circular, : J AUGUS i US J, ssued in June; h L ON G ST 1! EET, President 'of Board of Trustees. L. D. FORD, Secretary 4 Augusta,: Sept. i. it fe!f- ' ; W.asliihf on 35edical Collegre, ; v f : ' -: l-TALT 1 iVlUU E. '. "....; - ;'-; I : rSjHIS'" institution vvid conmience its next Session i JO. U!ider(iiew tnJ more flattering auspices, 'the Lc-. :i.latnre Af'iits last Session having granted tin act filnJ i tirior itionJ whicn places it oji an-equautv witn th. :oost highlvj favored Colleges 'in; this country. - -l ;V I'he dnnua1! Course of Lecturers 'will commence! on:.; the last.Mohftav of! October next, and be continued to the end of February, r S3 i. 1 . ' . ; '" ; ! ' '' t I tc trrn-s an- tnr tttxtrh, tirfcrr Wir. iMa-frir.ulnnno' ticket '35,- 'I dissecting dot Graduating tPee 5?1!0. the Studt tjt is requn'ed to atb-nd two -..winter and: take ail the tickets twice,' before 'he- can -biteoiiie ;a can- .ilidite for a degree; - but a course in any other rfespCcta Die VvOiiegej win ue .consine-reu this.' :.- .li-'i -, as equivalent to. ione in ' II. G.;;Jaimeson,,M D. ' S.i Fv. Jenning 'M. D. :- W. W. Handy, M. D. Samuel Annan, .M. D. J. B.' Rogers, M. D. essor ot q jurgerv. Mo. ! Matfiia'riledica do. Obstetric.; . .'.; do. . , Anatomy.! ii ;. -do.; ; Ciieinistrvj! ; - T. E. Bond, M. D. do. Theory dnd Practice JAS. B ROGERSDcan of Faculty. Augyst 20. -J. .1:5- llAKSOyVS, llOTliiJL,-; - . '! :.: 13liAKELY,'NJC. ;! . 'ir- Vl End of the Petersburg Rail Roadi;RoandJ.ei - WILL be opened by the Subscriber in September. This new and sJ-Jendid fta blishment will be furnished in a hot and shionable manner, witn new fun: dp re, ..! minpir ..Trt iin.iL..i.iT' n.1 nrtmf.irf 13 qtiisite tor travellers and genteel company!. i. ;Theiease and facilities, of good marketing from I 'etei-sl.urg, "Nor. folk i'and if necessarvj from the 'Northern Cities) by Cars, &c. and the Wealth and plenty of th'is neighbor' hood, together with the advantages ot the products oi the rich valley of our Roanoke, induces him to say no tocation can be better supplied." AmPhc feels aps(ret that he has acquired a reputatjion ,a,i . knowledge irt t lie business, from! having conducted .lor h lon time; large ant similar establishments m the htate and the West, that will insure, hum success. : rlef respeCtluily refers to the aJvertrsement of the Petersburg Kail Road Company for thc facilities" afforded travellvrl --f Three Stages'and Accommodation Coaches, will leave Blakely every day, one for Fayette ville, with. the gfeat Southern mail, and two tq and by Varrenton, " going xSouth artd -West. All gentlemen av ho are.-uisppsed to tnk' the Rail Road at Blakely, may depend on hnving their horses well taken care of, and their gigs and car: put under good shelter, as nouses are .nuiit eaj NeW.roiuls and safe ferry boats are establish?- ing and will be in full operation in a few days, Lif quors and j Wines, are laid in from the oldest maker and importers; Ice houses, mint beds ; and sturgeon pens are erecting, and will be in readiness. In fact nothing shall be wanting as far as ; his -'limited -ihean's will go, to meet the satisfaction .nd comfort of ai gen- teel company. f- KUtiLRT RANSOM! & CO. Blakely, N. C. August 24, 1633. 'AVING a complete, 7iew!and!fz-sAwnal3( assort-- ment ot type, trom tne larrrest to tne smallest, size. Books, Pamphlets, Hand and Pdsting Bills, Cards, Horse tiiiis witn a superb Kngruvmg, ana urna men tal and Fancy Work executed at the Office of the Har binger, in a style not surpassed by anyone in thispn an oiutx ?viai4', sua an very uiuiiyivif "f Transylvania I IJn iver jiledieal Department. courst .'Mrtf! UJJ 1 SiS 1 JflaiJiematicsi FOfi THE IIARJJTNGER. Solution to quest, IX. by M. Y. N. The triangle ACI is equilateraUrfCBG (4. 1) therefore CI is equal to CG; also Uiengle A1C is . equal to liCG (2. 1. But the sum of ACI and AlC (b. ii) is a right angle, therefore ACI and BCG are together equal to a right ngle, and consequently (11. 1) ICG is a right angle. In the same manner may itibe shewn that the remain ing sides are equal and the angles! right angles 1G is therefore a square, (5 def. 2) i Agaih, because tlie triangles C A I,- IDL, LEG and Ul3U-are equal and each oi tnem eqai o Ualt Uf or PD. thev are together equal to BP and PD. (Now if from the square A Ewe remove j the triangles CAI, IDL, LEG and GBC we have CL left, the square on CG: and if from tlie same! figure! AEi'We take away the two rectangles P,! PD we have AP, PE remain ing which are the squares on Pp and PG; jtherefbre (ax.3.) the square oh CG is equal !to the squares on PC and PG, which is the . . j. " -. :'- '- -r a. E. D. The solutions by Messrs. Horn blower, Fairplay jaid Elbow were similar! to the above; the latter gentleman, however, adds the folio winff- Cor. I If squares be described upon the sides of a ngnt-angieu mange anu uie,eS oi squares be produced till they meet they will form anoth- cr square. . l I , !ir a. I . Cor. 11. The rectangles BL' and riJ are aso eqnai. Solution to Quest. Xfc by Moses Elbow Esq Be Srt tit- miW the. dpnartnre1 is a fourth DroDOrtional to the rad. cos. lat. ano om. long. n. ioiiows iiiai uie uuiertfiice ui the cosines of the latitudes is a given j quantity; there fore ve have the -difference, of two arcs and the differ ence of their cosines to determine them,l whic;h 1 effect th'is. See fig, Prop'. 8. P. Trig. Let BC be the given ddierence.ot the arcs equal to 4" b'. - Uraw tne chord BC and on it as a diameter describe a semicircle and in it, from B, inflect the chordBJ equal to the given difier ence of the' cosines! and join CJ-, Find by prop.! 1. 3 the centre E of the circle of which BC is air jarc, and from it draw the radius EA perpendicular, to CJ pro duced at H: and meeting the continuation of the arc BC in A, then AB, C A will be the two arcs, too ob i iously to need the lormaiity ot a demonstration, j Calclxatiov. liytng, wesnauJinu tsy equal to, irw ' ' t iit .1 I W i . 1 a ' 073M6", radius being unity;.-, wherice in the rectangular I I n... Inivn hiTtkAf homier. Kl inf tr: hnco1 IJJ eaual to b ti:Wir46i)6) to nnd t tsj wnicn suo- tracted from half the supplement of 4? 8' will give the number of degrees iri AB 78 553.7" the tat. from which the ships sailed amPeonscquently AC contains 833' 37" the lat. irrived at. . '., .:- .' . W, W. Ilv . Hal. Horhblowef answered this question. , j , Solution to quest. XI by Ned NumscuW. Analysis macrine the riroblcm solved and BD the required linet Draw AF (see fig to Prop. 1G. 4.. parallel to Cp, and Produce CD both ways till CI be equal to CF,and DJ to BF, then IJ is aniinimum, oi because IE is constant ... . r . - " . r -v V i; . T A " EJ is a minimum. iNow by simi tn. Uii. is to or V as AF or CE is to FB; vvhepce ihe rectangle con- .i;v..l K,r TR PIl nr 1 11 rVklA mmifll tfi t hp. reetano-Ie C CD. or IC, CE. If now. on IE as a diameter a sfftn circle be described and CK be drawn perpendicular oi I C tlie square on CK will be equal to the rectangle ii CE Ccor. 0. 4Aand if KL be drawn parallel to JE . . . v :i -T.i i . - y the njethod of drawing DB is manifest. 4. E.F. Solution bv Moses Llbow.fcm. L.et. x equal to t i5, a jequa to AF am Unequal to AE,'them by ;sin.. .tri ED is found to he-fc tourw proporuonai to r i r a anti AE, and thesuih of FB and L1J isU minimum.! it thi-i exoresion bedlfferentiattfl -nd reduceu ve. shall find ihe square ufxppiai touo, a result agreeing precise- lvi with the above. ! , ! I Solution to qties . XII by Ha L Hornblower;& Hez- l-oi. iA.M.!av .A A K I the. liff. inav toe readilv bud- olied bv the reader is. the diameter oi me greater anu ' half of AB , is! the diameter of the less circle, then F.C and AD lie drawn,' BEC and'BDA are eight angles (8. 3 ) and therefore EC and DA are parallel, consequently ;BC.i4 to Q A as BE to ED. But C A is equal to BC, ' there ore BE is equal to ED? ' . -. i '.'., - ;'- y-:.'- -j- , a: E. D- ' j M 03es:Elbow E q. says, because ' BC, which is 'the radius of the greater ! circle, is the diameter of the leas, B EC is a right anle (8 ' 3 and BD is bisected (4. 3.) 'I (Solution to' quest. XilK'by M'oses Elbow Esq. : and Tlal! Hornblower. Const. Let BGF be the given e- 3uilater::i triangle Bieeet the aixs lior, til in A and CJ and ioin BA, B and AC meeting the sidos of the .L.' .1.. : i-k i? J liKMO.VST lL IS parallel Ul r u iuhikim: yi iu. w, i i tlieref'cre BDE is equilateral; but AC u is .equal to -BAD, and CBE to BCE (jtf. 3) therefore AD DE and KC are equal. : f : . ; U.; E. D. I Quest. XVIII. y Moses Elbow Esq. Required a correct investigation of the truth of .Cor. 2. Prop. '22: iri Enfield's Optics, by the method recommended by the Editor of that work in His advertisement. I -Quest. XIX. byi ZeroT here are two circles ofgiv rrt dmipiiliions situated in the same plane and at a given distance apart. Find geometrically a point in the plane where they shall a )pcar.bothof the same magnitude : QuestxKX by'Ned Numscull. Given the distance between the East and West buildings,! the distance be tween the second and third stories and the length of tlie shortest rope which, when stretched will touch the in termediate around and reafrr froifi i window in the se cond "story of the East builduig ito'ia window dirfcetly opposite in the third story cf the West building. Re quired the point off 'e'ontacjt andtjhe heights of thej sto ries, the buildings being supposed to be equal, similar aid .situated in thej same horizontal plane? . As the solution (S question Xll has been effected by. means of the ancient mode of Analysis, we presume that a brief amount of that brancli of Geometry j wiU Iitbe uninteresting to our juvenile readers. . ( (One of the niost meniorablo periods in. the history of the. Mathematics' J is '' the! foundation of the Platonic scjhoQl, where Geometry; was most assiduously cultivat ed, and; where it received : some ol the most vaiuaoie accessions which now enrich and adorn it.. However flourishing it might previon sly have been, yet we may confidently assert that Plato imparted new vigor to it, and in some measure exhibited it under a new and more elegant forinj It would seem, that til.U'then, Ge ometry was employed onlyin tiki most elementary con siderations; but in the Lyceum pt speedily advanced be yond first principles and received a more extensive ap plication. The invention of Analysis, the discovery of the Conic Sections and of ; the Geometrical Loci wtie the fruits of the unremitted diligence which Plato and his disci plesyncouraged as well Iry the example as the precepts of fheix illustrious ! master, bestowed on Geometryi He'travelTedinto Egypt, Italy and Cyrene td collect, wisdom from tlie ampla stores which those countries then furnished' and orrhis return into Greece t. ! . : I ! h l r" O! i lit... founded his celebrated j school,; where ne mauei.wie Mathematics, but especially1. Geopetry the basis of his irtstructjons. Historians toil us, that ne pornniieu no dav to pass without making his disciples acquainted with some new fiutfj, and that he caueca yie ioiiowingu scriptioit to be placed over the, door! of hisjjaicademy, 'i'Let nobne ignorant of Geometry entefhore Wheth er he wrote any ! work purely jnathejaaucal cannot; per- harvs Kn nrtwkhnwn! 1 mt t iesfnTie invention oi ue- ometrical Analysis, ofyyhich he will ronfrr on hirhtrmerishable is ,the reputed author, reriown. As this.ha been attAndeiUvrth coiiseduences pregnant with lasting benefitsjertomeiry it is important tb possess a clear ide.a-.-tff it. There are two ntliods iof proceeding in Geometry one denominated the Synthetic and the oth er the Analytic'; method. Lxample of the Ural land ' r ; t tK h t . i. .11 . i '-.: . - .-.-1 - ' n)d this; diameter wUl be theshortest possible when ties:) become acquainted with several of the i . (i just touthes it; therefore DE and DJ areequaL that is, I- n n, 3 r nt RP ic n n.pnn liroriArUonal to b U and consequent- j t 6 " T,W "yv6w, i ' arc the. most common, and arc almost thc only ones W le met with in the works of the, ancient Geometer. ' This is that : which we use when we wish to explain some truths by others whose connexion with elementa ry principles we already know; With' these principles,; or truths previously acknowledged, wd icomnieiice, and by collecting them and proceeding from ;jConserJuence.tO ' . consequence we. ultimately arrive at the concluticni of ! what jeve had advanced. The Analytical mode is dif ferent. There wc )egin by assuming as true that 'f which may be questionable, ioravc regard as already ., solved the question proposed.1 Hence wc derive consc- ;' quendes which are deduced from it, and from these1 othersj flow, till we arrive at something true or false, if - -it be a theorem; possible or jimposf-ible to execute if it lie a' problem. The iiaf ure of this last consequence de- cides the truth or possibility of the proposition we a r examining. ( Hence pn comparing these two methods . ' we observe, that in the one we collect,, or join- in boiW way many truths froin whose union a new one results. 1 '" The name given to his method of treating qucsfiona implies the process used in their resolution; for Svnthe sis signifies Composition. On thc contrary, in the otlh er wejdecomiHJse a "proposition still uncertain . into, its' parts; all necessary, jtrue and connected, if the propo -sition be true; or false and repugnant, or utterly incon sistent with ! some truth already demonstrated, if the 1 proposition be false- hence this method hasreceiyed tho . namfc of Analysis which mcan8 :Decomp09itkm, In S nigi3 Wc frQm thc knQwn k - I from the root to the branches: but In Analvsi. th ri. ' vsa i,.a .a i 4A?a u I I t : ... i . : unknown to the known,-from the branches to the root. A single example will sufficiently illustrate our mean-. ing and serve to shew the importance of tnis branch of Geometry. Given the base, thc vertical angle and the ratio Qf the including sides to construct the triangle. But wc shall reserve (this for our next, i ' 0. Communications. . Chapel Hill, OcL 1833. Dear R.- Variety is called the soice of that one man has as m:.ca riffht to. sav smart things, as another; antl I call punctuality 'the salt of human actions. Punctuality when associated with its sister viitues imparts to them additional loveliness. I mi fairest of the train! even when it mint ,; fe'P with ! evil companions, it sheds a re deeming lnnuence over their actions ' A desire to cultivate a more intimate acquaint-4 ancehvith:it, as also a favorable opportunity, , j , n , . IlnUr .:fi! a promise, ip write io you, wniie on my .way to the "far west." I am now as you have already discovered, at Chapel Hill; at which place 1 arrived four days ago. The interval between my arrival and the prpscilt, lias flnirti nfTl ncsnrnl imit 'nn "au II.Mi.'o c;nPU T Imvn ln hrm 1 -mrl it m I ; , - ' . , b J ulfP lo ,mf respects in. person, to Hie members of .the faculty: I have visited7 tho J'a:: a.. '- ' r ' . . . i I have ambulated the country for miles around; arid tned into everv mysterious nook, tlmt mt my inquisitive iVlahce. I knowofnofhinf - n .n nn".tn , .....4..!, nuuiu uu f reaa liy you Wlin mom pleasure Jfiatl a (ICf- criplion ol. the nlace. 1; will . therefore err dovnr to rnnvnv in -vrwi nt lenct nn iA: f V r , 1 avvu uiv uwrc. i uis iiku uiigt low us generally nas lis main Street too, on vvhich all the business ol importance parvum parva decent -is done; and which running nearly east and west, measures a bout one quarter of a mile. About midway thi street stand the confecjionersj black smith shops, and horse stablcs.obiruding up on yotir view, at every turn, their disgusting ' exteriors: whilej tlie more respectable dwel ling houses, some of them bearing marks of hflluence, seem to court in the timbrageous groves of the environs, a screen from object jviiutiuniui m , v-, . co tn U3 tt luill.'il from the unwelcome gaze of strangers. The houses arc placed at very irregular intervals frorrt each other, there being . about as much order in their arrangement, a 3 ' there is jo the positions which a child s toys assume, when it has upset the basket that contained them. South ot thev village at a little dis tance, are the college buildings, embowered ! in an antique grdve, whose wide spreading and lofty oaks, with boughs thickly interwo ven by ages, fornrin the spring season, one contiguous' and, delightful shade. Surely thought I to myself, as I have, wandered through this grove,. these trees spring from t,he roots of those which grew "in Academus groiyei For since the days of Ac.idcmus, they havre had sufficient time to sprout forth oh this sjde of the world..' And partaking of the spirit of philosophic inquiry, which , wc may, suppose, from its prevalence in those days, was common also to the trees, they no ouht attemptet a passage through the earth. This fa nc wild as it may seem, I must con fess is to me a pleasing one. .For certainlv there never was a spot on earth, except, the one alrendy mentioned, whose every feature marked it so evidently tlie residence of the twin sisters -science and literature, as this. The stately ediYices which in their combat with! time and the weapons of mischievous youth, have qomc off not a little wbrstrd the grove; a', hundred young men, jhuoyant with hopes of j future grealnesi?: and tlicir venerable preceptors, whoJiavclrijadiTbrcn stript bv "the, chilling blastspfhnutunin of life . of their foliage, aJJ-picturc vividly to iiiy imap;inatione1ori()Us days of Greece, w hen l&sopUy ra n i n ch ry s t a I s t rca m s Uptrgtv all thej land, tjowing Alryost inf one coniinuous currenffrom niouth to mouth. , A little to the east of the college, is another grove, yet however in its infancy, irjlh? midst of ivhich1, on a rising ground, the. r re sident has erected an obseryaion. i 'This when vieved by moonlight, as it' lifts' its toj above the trees, corresponds to my no tion of an enchanted cdstlot of tho "olden times." And liot'far from this theinravo yard, encloiseu on: tp.c.tlircc siuc uy a jstomJ 1 : 'Hi ! - l- I i