Newspaper of Burlington Free Press, 10 Aralık 1847, Page 1

Newspaper of Burlington Free Press dated 10 Aralık 1847 Page 1
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-J if Vol. XXI. Whole Io. 1007. BUIUifXttTOIV, FRIDAY MOKIMW-K, WIWI.IIIIIJK IO, 1S J7. IVew Mju-icv, VoJ. 2 -rVo. J2 E. JJiirlinglon Free Press, Published nt Darlington, Vt,, II y I . W . V. C I. A H K K , Editor and Proprietor. Termsi To Villna subscribers who receive the pier ly the eimier $'iV0 Ifpaid lundvniice Mail subscribers and tlios-c who take it ot the Office 2,01) It paid in ndv-nnce, . 1,51) Adveiui-cxienTs inserted onllie culowiry tcinr'. tiii: itn.YUTvt (iiti:sT. Wlien nge has can its shadows O'er hle's declining way, Wln'ii evening twilight t.ntliers ( Knuud our retiring day, Then shall we sit nnd ponder t)n Ihe dim and sindowy past ; lit lhc hcalt'ssilcutchanilicr The guests w ill gather lust. Jtiets that in n.itli we c-.trfsliecl come as of in fore. Ami we shall hold communion As in tin- duvsnf jore ; They may lie dark on. I sombre, They nny he bright nml lair, Hut the heart wilt lme its ciinmber, And the guest will gather there. I low -hall it he, my sislcrs, Who shall he our beau's guests t Hove shall it lie my hiothcis When life's shadow on in rests ! Shall we not 'mid the silence Hear voices sweet and low, fspeak the old language, The Works of long ngo i r-hull we not see dear tices, Select smiling lis of old I Till tin tni'ts ol tint lone chamber Ale sunset clou Is of gold i When nge Iris east its Endows O'er life's declining wnv. And evening twilight gathers Jtouud our retiring day ! NI'U.VK NOT UAUSHhV. 11Y lss Jl'LIA .1. r!.ETCI!En. tpeak not harshly much of caie livery human heart iiiu-t hear; Enough of shadows sully play Around the veil suiii.le-l way, I'uongh of sorrows darkly lie Ycileil within the tucriie.-i eye ; lie thy childhood's gushing tears, lly thy griefs of after year, lly the angiii-h thou dost know, Atld not to unotliei's woe. Speak not harshly much of sin IKvelleih eeiy heart within : In ils closely-covered cells Many a wa)ward pa--iou dwells, lly the nriny hours impcnt, lly lh' gilis'to error lent, lly the wrong thou dn-t not shun, llv lh" good thou ha-i not done, With a lenient spirit scan The weakness ol lliy hrother man. 1'or the liiiriington Tree 1'iess. It nny be recollected by some, tint in the Hurling I in lire I'll" of the :).)ih April las, an nrticle up. pear-J oer the signature of three small stars, nml under the impoMiig ion of Mr. Young' Unity of J'uipoic, purpoitingio li the review of a wink lately -published, entnled " Unity of Purpose or Umional Anal)--; being a treatise de-igncd to disclose phyti i al iriuhi, mid lo detrcl and ei-.ise populnr errors, lly Augu-ttis Young." And perhaps it might have been expected that snie five or six months from llie 4 j in. of ihc publication of fucli review would not have 1 r ap-d, without leplieation or answer from the uuihor, i or from other person in his behalf, and perhaps, gmion would be substantially true in all cases where in-cribed circle is 1 and the diameter of the inscribed until the rev iew-it-e-lllnd mostly passed to that obhv- the periphery cannot be cxprcs-cd by a definite nu-1 circle of the square who-e area is .5, is above iheaien ion to which mo-t newspaper articles are con-igned iiieneal quantity. of the octagon the diameter of whose inscribed cir llui I am aware that I am engaged in an enterprise c r Hut I will p-is from criticisms upon the reviewer's . c'.e is 1. And this law, so manifestly denoted or die adventure, in which llie tunc has not vet arrived wlen enunciations and allegations, to a consideration of tated, places the nren of ihe circle whose diameter is lln re nieiiny to help or lo uphold And being myself what the reviewer is pleniecl to send forth to the woild l,iu .7'.'37, us al-o the diameter ol the circle whoc nb-ent tiom the .State nt tin tune, and not having ecn as u review of inv ttvntiso upon ihe iiuadrnliue. which area is Z. And w iihoui ibis law to "overn nnd direct ihe r- icwer's article until my return on the "Ot.i be; - leinber, sufficiently explains tbecau-e why no an-vur Ins heretofore appeared. Hut I now propo-e to up- pear nnd defend in my own proper person, regardless oHmy charge ol egoiisin fiom those who may discover mor- ofn m ihe pronoun .(which I am compelled to tidopt,, than in the word ire, which Ihe reviewer (it single haiiile.,) has sreu pioper to use. However, ire is olten u prodigious peisonage ; and it is not always Known whether lm nriicbs nre the production of nn entire mini-try or cabinet, or of some individual who ,u " '" l"'uiic opinion. 111 ine present ca-e, however, I om bound lo trrat the nulhor ol llie review ns an individual person; for, ulthoiigh his name is withheld Irom the public, 1 am assured, from proper nulhonly, lint ihe author ol llie review is n Kind hearied man ; besides, the reviewer himself dec-lures, in reference In his review, that " we have done il with no oiher feelings Inwards our author than those of i ...a c: ... i i ..... . . i - i o: iM.iuiii.-a .nu, nn-liusllip ; ou us i urn noi w lioily lo 1 1 ;.. .1 ' : r .i... :.: I .....;,.l v irtiies, it may behoove me in my reply to ropy some- j.-ct ; nnd shortly alter llie Ko)ul Society of i'.ughiud insiance,) is more ponderous in proportion to its popu vtnat liom ihe sjutil in which llie review is written. n leaded ihe s-iine resolution," lar measure ol bulk, than that of n square bar: why As iny views upon the ipiadrature of the circle, ihe And lo me it is somewhat surprising lhat their pa- the architect's geometric ratio, while it makes the pi law ol gravity, and the progressive motion of light, tience held out so long in bearing one and llie same riphery greater in proportion lo the diameter than is nie ihe only subjects treated of in my wink which llie reviewer seems di-po-ed lo utterly overthrow and cle- luolish by menus ol vulgar iiruhiiie-tie, it may have oc- eurred lo some, lint lus article is somewhat lengthy in cried lietion into truth: And peihaps the reviewer most simple and Is-auliful ol nil geometric figures, propoition to the amount of legitimate criticism which knows why he preferred lo send forth his uwu exposi- should, in nil its numerical or innliiem.'iticat tipphcn it contains : Hut legitimate criticism seems not to tiou,ruther than refer to he (Ic-ndefs tIeoiiieiry,where tions, be the most homely and complex, have smi-lied llie reviewer; hence (in the language of ,ay he found un exposition quite similar, somew lint , 1 jl hemcc pass to n consideration of the review the law) we find much of his nrticle tint is dehois the more extended, however, nnd perhups quite ns clearly I ,.r8 comments upon the laic of giai ilij; nnd as bis record, ns by prefacing his review proper, with his- proeuled und expressed; which work of l.o (lender, review (us n mutter ol course) consists only id the torieal or biographical matter. Nevertheless, so far as in some one of its vorious translations, is lo be found New Ionian expo-iiiou of the law drawn from his con facts are then alleged per elate nnd de-tail, it ccituinly , almost every student's und scholar's bauds in the side-ration of the law of falling bodies, I shall, in this shuwsthe leviewer lo be a critical recorder of event; ,. nrticle, so fir pursue ihe couise of the icviewer, ns to and for aught that 1 now recollect, the same may or glK,t however, followed by u few general remaiks' jmw lny deductions, conclusions and iiileiene-es in te tany not be true; Hut certainly 1 had never the vanity t1L. icicw-cr, in which he confesses " that he has f,ni lo ,uv gr,niy rom ihc law ol falling tu suppose that 1 should be the subject of so much 1C acuteness to discover lhal 1 have advance el bodies, notwithstanding tbeie are other more simple wiillen biography. And perhaps ihc reviewer would even one ilnu-ible arguincnl," but in which he has and sati-factory methods, which I hare noticed and nut have imposed the useless lumber on his reader', not rlvu nained, coniuicnted upon, or attempted to ' explained in my woik tu which wolk I mii-t refer ihd ll not uir.ird linn Ihe facilities n umeu i.) me ms- torinu, id iiifurniing tie woi Id of the devices, intrigues, nmbdious desigiis, etc. of the principal characters of whom he lnnts, in order to lay the Inundation for moral uud philosophical reflections for the benefit of the living age. - Thusihe reviewer assumes, (and it is an assumption which lie oiieii re-jH-nts, and seems to contemplate Willi horror,) lhat I h iv c vented my spile against Sir Isaac New Ion, and us be believes, with n no less ncriiegioui molive than that of an absolute attempt to '"'" iu 'ii-iueitiou : An t reasoning irom uuai- hi """" out out i n tin- nrodiL'ious blows uimeei ... . , .... .naiiiiiMicwn.iunytiorilirrcd to it lihe UT IMIIMlclI CUllH- ' Itnl I... ! 1 e Ibis us it mav. perhaps no ill-clml nupuU MiHcer u.wn maU. li.-iril r.-f,r. niion short f l " nrn '" a ''eiiilieial rclor- I ,r il i -p. " . I'.'"' r '" WuH 'l"ul''i". lh' po-ed inlalhliihiy ol l'ope.CorJiualor lli..h I'ri.-i Inch cniw the interested vourv o if. , '.. . .' .. intiuuu liunot jm'iijiIu to iii'iuiie. In regai.l to the review crt lubberly attempt at i,. ticisui, in his nilroduction ol king g 01:,l ihe Iro .s I hardly know what lo buy, for u ,iw, , 1wincll"n ' penr whether il was iutende,! os nppcn.lage to the lllllirai lll-ioij o, ir,.,,irs, ursiiupiy i t,ow (j . elaiiued to be Iheliiggrsl frog in the puij. . ., first lhat returned to croak alter being nlunue' 1 I nbly the latter, however, for he s-ays, " lf c have e- mininoncd courage," in which he is careful lo ilulU- italicise the iiiiurliut word, It could not be expected that the reviewer would J adopt principles w Inch he so frequently scoffs at 111 hi article, as that of unity of purpose, rntional analysis, nnd the application of the powers nnd roots of num bers in disclosing physical truths ; hence he has wholly disjoined the historical part of his article from his im provement and moral reflections, that is, has disjoined the component parts of his review of the author, hj the gull reserved lor n review c.l the wolk. This, howem, the better enables the reviewer tn attempt by one fell swoop, by one general anathema, to de molish nnd nimihilate him nnd his works, who shall provoke the ire of those who claim to have the charge of public opinion, by an attempt to detect nnd expose popular eriors ; conceiving, no doubt, that a timely nnd severe tebuke bestowed upon the author, xv ill ope rate as nil admonition to mankind not to di-tutb the things that nre established nor tn rely upon their own powers in the investigation ofimportant mailers; nnd by way of consolatory inducement to adopt such course, the reviewer presumes the very probable fact or consequence, that if my course had been such, in lieu of "relying on my own powers," 1 should hate sat isfied myself " that the quadrature of the circle is im p.nctknble, that the Newtonian law of gravity is the true law, uiul that the aberration "ol the fixed stats uf folds satisfactory proof of the progtessirc motion il light." And now having gone om the reviewer's nrticle, 1 will reliirn to a considerntioti of his strange exposition of the quadrature ol the circle, and of the law of grav ity, and also to his e. position ol the aberration oi the fixed stars and the progrcs-ive motion of light, if the designed limits of this niticle will admit. The reviewer in treating of that branch of my work which relates to the ipiadiature, has, in general, been candid, save a little vomit in his concluding retnatlts, nnd in his unwarranted allegation that he has pro c eded in his exposition by a process which nckuow rigc to be legitimate ; which acknowledgment I here d.'iiy: And J wi-h the icviewer had been manly enough to have proceeded in n discussion of the uni ons subjects, w ithont so frequently alleging that he has proceedeit in his exposition m accotilance with prin ciples which 1 have avowed ; when in fact, they me often the very reverse. lVrhaps, however, in the fore going iu-tance, (in accordance with his mode of rco-s-tniug,) be inferred that it mtiat he so, in consequence of the deserved compliment which he says I h.ul paid to the 1 ill proposition of l.uclid. And 1 will here remark, that iny process for obtaining the quadrature is in strict confonnitv with the principle that, the sum ol the squares of the two equal sides of n right nngle 1 isosceles nianglo is the square of the hypoiheuuse or longest side. 1 agree with the icviewer, "that if n circle hate n rcgul ir polygon insciibed nnd mother eiicuniscribed. the circumference ol the ciicle ljiuu' between the two will be longer than th" peiiineter oi the in-enbe d,nnd shorter than the pcihnotcr of the circumscribed poly gon," but his allegation that " the dilicicuce between t'le periphery of the circle nnd the perimeters ol the polygons will dccien-e with the increas? ol the num ber of sides ol the polygons," though true in a eeitaiu sense, tequires explanation, lest misapprehension should occur, (which explanation he should have giv en ;) fir no one will pretend that the length of the pe riphery of the circle is a menu proportional between the perimeter of an inscribed, and like circumscribed polygon. ho nho his allegation lint " the process by him de scribed may be can led on until the perimeters and the periphery ol the circle shall coincide to nny assignable extent," icqitires explanation ; for il is prcpo-tcrous to suppose that the penphery of the circle can coincide ill nearly hut not qtlile ils whule leygth, wi'h either nil inscribed or circumscribed ieruneler : IT, bow ever, the reviewer intended to reler such coincidence to n nu- mcrical expression only, (and charily would to pre- suine.or ut lea-t would make the correction,) the nllc review mav be detailed us fillows. viz. the number of ,1 . page, occupied by my treatise, my ralio ol llie chain , - ter of the circle lo its circiunlerence, viz. us 1 tu 3.17Hir.'il, &c the popular approximate ratio, viz. as 1 to 3.1 115'JSfi, .c together with the dilleieiiic by ,ie aumi. rntius between two peiiphenes, if the ehiiuie- ,,.r f circle be 100 inches: and thinks that the world could not have been laboring under so gieut nn error Irom llie days of Aichhiiedes lo llie viesctit. ud ns be considers ibis n male question, in order t'.iat il lliav be fairlr erects his diagram. mid again presents lo the public a like or similar exposition of ihe ipiadrature, to those which have been presented ihou-aiuls of times, nnd until the world has become tired nf the monotony ; lor llie reviewer hiiu-ell says that ' the basis upon which he proceed is the same basis upon which the quadrature has been sought ever since the davs of Archimedes :" nnd then proceeds lo ullege the important lact, " that as long ago ns 1775 i. . ... i i . n iii.,.i uie vcueiciny oi i-cieuie-B lie lain .iiiiii.iiih-.. .i.-. .i i , :.. r. ,. I... l,. story a thousand mid one times told, which, however ingenious, would proliatity not nave pacuhed the 1 1 rand Saltan of llagdad ; nor would its repetition have eon confnic n single position which I hnve assumed or put fjrI, j BU,.,urt of my ratio of tlio diameter of the cir- c,. its eircuiiilerence, iswhat he would impose up- on the public as a i eririv ol llie 71 pages which he siy3 have devoted to the quadrature. 1 Now if the reviewer had nut the acuteness to dis- cover any thing plausible in iny arguments, he might have given to the public some of ihe evidence upon which I rely; for peiadveiiture lliere lire some who re-lv sumewhut on their own powers, nnd would like t judge for themselves : l!.sidc, llie reviewer wi)s , mvl! nought out n u-w track ; and if he were ...... 1. 1 ... r,.ll,,,.. ;. .... , , . ,. i, ,,,,!, I,,, K fro,n tinn n piesentalion ol some ol Ihe land - . . .. . . ...',, ...i.i.i. I...I , ,i,.M.i ,1... eee-. I i noi"""" - - " have hinted nt least, that in my invesligulions, many 0r tho geometrical and mathematical piinciplrs from . . . i i i i - wUch 1 ,,",Kt' ,l"iaai"u'-or dra" '" ,-u,,c are such ns have been well elemoiistraled, and to the triilh of which nil will n-sent. Thus ihe area of any regular polygon i the product of one-fourth ol the perimeter by the diuincier of ils inscribed circle, hence oue-fuurih of llie perime ter of uuy regular polygon is equal to the urea vvhe-ii the di ""'ur of the inscnU-d ciicle is 1, nnd when the ,''lll",,of ihe circuinscnbed circle of a regular poly - r l"Mlourl" ul Us periineler ni-qual lo llie nren "' a" iusc'iljwl H) ul' "' llle name circle of twice Ihe K'ui is 1, one .fourth of ils periineler ise-qual lo the nren I number of sides. I That one-fourth of ihe pcimu tcr of a regular puly- gon (of whatever dimensions) is a mean proportioiia between the nren ol such polygon, or the nreu of n hk polygon the diameter of whose Inscribed circle is 1. Hint became .7D37 (or cube root of 5) is the farthci of two mean proportionals fiom the i err of a polygoi the diameter of whose inscribed circle Is 1, to the di nmrttr of the Inscribed circle of n like polygon whosi nren is .5 and from the unit of n polygon the diame ter of whose circumscribed circle is 1, to the diametci of the circumscribed circle of n like polygon xvhos. nren Is .5. Hence, wherever the men of the cireli wdiose diameter is 1 limy b? situated, .VJaT is the far ther of two mean proporlioials Irom such nren to tip diameter cf the circle whosi nren is .5 ; consequently if the nren of the circle whose diameter is 1, is .7'J3i the diameter of the circle whose nren is ..r Is .7'J-I" nnd for the reason that the pepuhr nren of the circle who-e diameter is 1, is nssigned nt .W.W.H.oiC. hcticf the popular diameter of the circle whose nren is .5 i assigned nt .WiSlW, ecc. That when one-fourth oftbe peiiineter ol n regulai polygon is l.the area is equal to the diameter ol tin inscribed circle, nnd is tin- reciprocal ol the men ol n like polygon the diameter of whose hisciibed ciicle is 1, and the. diameter of the circumscribed circle ol such polygon is the rccipiocnl ol onc-foutth of the pe rimeter of n like polygon the diameter ol whose cir cumscribed circle is 1, And hence that our necessary conception ol the relative lengths of the pctiphcry ol the circle and of the utmost or final pel uneter ol its in- s-'ribed nnd circumscribed polygons (whether we com mence with trigon, or squnre, or any other series,) is. that the periphery of the circle is the farther of three menu proportionals from the tmal liiscrilieU, to the final circumscribed perimeter. He might have stated the fact, nnd made hisattcmpt to account for the phenomenon otherwise than ns I have accounted, that when the nren of n right angled Isosceles triangle is 1, one-fourth of itscircuiulerciiee is equal to the area of the octagon whose circumference is I, He might have presented the following lor con sideration, that although of two perimetcis ol equal length but of dillerent polygons, that having the greatest number of sides will ciicninscrihc the most area ; nnd consequently the periphery of the circle will circumscribe more nren than the perimeter ol mi) polygon of equal length, (which property is geneially called the periinettic capacity lor ciieuinscribing area,) and although there is nu uelnol increase in the peri metric ratmritu of nil the perimetcis situated between the s.iuare and its inscribed circle, it Ins nevertheless b-cn suspected hv geometers ami mathematicians. , , . " - i ,., r rnt:nrr (hat such capacity is increased m a greater ratio from thesuuare to its insciibed eiclagon, than from the oc tigou to if inscribed circle in imnm tinn to the prox imity or length of such perimeter to the periineler ed in circumscribed square; Whereas the popular method of obtaining the ciicle ineieasis the periinclric capacity from the square to its hi-ciibcd ciicle by ihe same ratio in proportion to its proximity to the square. If, then, we would obtain the length of ihe periphe ry of the circle whose diameter is 1, by means of u progre ion through an infinite series, cou-i'liug of ils circumscribed square, octagon, and so on, by a cm slant doubling of the number of sides of ihe polygons of the series, our process must be so continued that from the octagon onward to the circle, the peiiiuelric capacity shall inciease by n diminished ratio in pro portion to llie proximity ol the perimeter to the periin eler of its circumscribed square: which diminishing ratio, ns well ns the law by which it diminishes, (which ought to have been noticed lonz.lnnz ago,) is extnesshj dictated or pointed out in the simple fact that n mean prcpoiiioiial bctvvi-cn llie nren of the oc tagon, the el la mete r of who-.. inset ibci! ciicle is l,nnd whose nrea i, is pivpo, lionnlli, jus, half,, farnbove ., c.i i . -1 .i i the nren of the polygon ol sixteen sides, the diameter . the duinii-ler el tor inscrilieil eirc'e of die ociii I ol whose inscribed circle is I, as n mean proportional , between the nrea of the suuare the diameter of whoe us. iiolvitotial economv and phenomena is wholly in- I .....lienl.l.. i.o.l if,,. ..., Imi ,i re of th,. ciiel,. wl,..IK iiiipractie-atj.e. Hut this nrticle is not designed lo give an exposition ol the quadrature ; I. in only to suggest w hat the re viewer might, pethaps, hare coii-idered ns plausible argument, had he not been wedded, or I would rather My strangelr attached, to nn obiect. the bc-nulv nnd perfections ol which, however well endorsed by a long tram of lovers, luigbl, nereitbeless, be in danger ol repudiation, were be nerioilleil lo i-Mintinte.or coo. template other objects, j Hut I will conclude ibis branch of the subject by suggesting, that when the popular method nnd final re-ull shall be compared wnh my own, it will be found tu corroborate and establish my ratio : And when mine shall be nccepteel und acknowledged ns the true, then the architect, the innchiiti-t and mechanic, (who nre nlwnys law-loving people, nnd desire to fulfill it,) ,. .u .. i... .1 i i ...icn .i ,. ,.i ...... .u.,..uii u..j luiim nn i-r nilllll IIP I. .1- n l r l,e Ii.l,.- r,.a .,r i.. r . given by the popular rule, should still be tumid n little too suinlf lor prticiical u-e illd then the world will , , .. . i . .i t ,. . , cease lo wonder why ll s, that Ihe c ircle, which is the for a more full nud sati-factory exposition of the luw of gravity than can be presented in this brief article ; and although m my woik 1 have alloge-lher overbur dened ihe subject with evidence, for which 1 have there made apology, I am iieverihelcss fully satisfied that whoever shall read the reviewer's exposition of the law of gravity, will fully appreciate uud accept lny ojsilogy. 1 will hence proceed to set foiih the premises, viz the law of falliita ladies, from which Sir lsuic New ton inferred lint the rale or intensity of the force of gravil ! n... i...... .. l.i.a, i ;i... .1..,. :., .1... 1 diatauc from the centre of ernvilv from which it irom inc. ceuire en trnvil) , irom vvilieu u I...;tll... .. i. i..: i.i-a i "l "" '"" " "" 'iei."-s e.."n "i. icu chill r, but only upon the deductions, conclusions und inferences lobe drawn from the premises inihens - - . r.i i , , ... '. , . '"S'-' "f - A"J w "h " 4 'Vw '" """!' n"-n' which (for the sake ol ihe nrguincni nt least) we sha 1 all iiirrc ilun our de.lueiioiis und inferences are lo be all agree Uiul our deductions und inlennces ure. to fx. drawn : inein. i w in iiroi-ci-ii lo se-e iiirni nil nre-iiii-e-s lie en Pit at. The attraction of the ennh re taint the moon in its orbit, and causes heavy bodies to full iijioii ihe i.itface of iheenuh ; nnd llieceiilreof ihe.iirih in re- ' gard to these phenomena, iscullcd the ccnlriiofgiuvi'y t Second, llie moon is sixty tunes 1 centre of the .-.nth us llie s.uface of I h. Second. Hie moon is sixty tunes us lar Hum llie : euilh Is Irom I ils centre : Hence the surface of the cnrlh nny be uituiucd nt distance I, uud the iiiotni nt distance CO. Thud. The im'of space over which n body Islo fill Irom the beginning of Ils lall, whether nt the ii's tnnrc I, (surface of the enrth,) or nt the distance CO, (distance of the moon,) i' feet. l'nmth. A henvy body commencing Its fall nt 10 feet nbovc the surface ot tin earth, or nt the distance 1 from the centre of gravity, will fall to the surface, or over the unit of space, hi one second ol time that is, in time 1 J when the whole operation tn be performed is fully complete and ended. And ti heavy' body com mencing its fall nl the distance of the moon, or iiV tancc CO from the centre of gravity, will fall over the 10 feet, or unit of space to be pel formed, ill (M second of time that is, in time CO; when the whole opera tion to be performed on such body is comp eted. 1 ifth. railing bodies nt nil distances from the cen tre of ntttnetion obsenc the same tiuinerieal laws! hence, either body from the commencement of Ils fall will lall over l-MiX) pin or the unit of space, or Ifi feet, in 1-C0 part of the time ill which it will lall over the whole unit of space S it will fill over 3-M00 of ttic unit ot space in nnoineicquat moonlit ol tune over 5-:iGUL) of the neJSji'micc in another equal amount of time, nnd fc,5JsiuRastheodd num bers l,3,5,7,e'nttt"raWs7aTu' is passed over, nnd the time nnd force required nre expended. Thus, if wc conceive ihc 10 feet, or unit of spnee, nt the distance CO, or distance of the moon, to be divi ded into 3C00cqunl parts or fjiices,iQ first space will be passed over in the first second of lime three more spaces in the next succeeding second five more in the third second, nnd so on: ill which cnse,nl the end of nny second of time from the commencement of the fall, the number of spaces passed over will be the square of the number of seconds in which the body has been filling thus far. Vrx(A. The time required in (ailing over the unit of space is ns the distance Irom the. centre of gravity ; for while at the distance 1, the time is 1 at the dis tance CO, the time is CO. Srrenth. If we conceive the whole amount offeree expended in urging the body over the 10 feel or unit of space, to be divided into equal parts, then ihc num. brr of forces to be expendeet in the operation is iqual to the nnrnlcr ol times in which they nre expended ; and the square of cilherthe number of forces, or num ber of times, is equal to the number of spaces into which the unit of space is divided, in order that they may correspond witli the numerical law of falling bodies. Tlius, if we conccic the 10 leet fir unit of space nt the distance 00, to be eli ide-el into 3000 equal parts in order to correspond with the CO seconds of i time in which they are passed oer, we nNo conceive I , r r i I it the teholc amount of force to be expended in urging the body ocr the unit ol space, (or 3tiu0 spaces into which it ! divitleel,) to be divided into CO equal parts one force to be expended in one second, eir one time, and while the body is passing over one space an otbet equal -force to be expended while the body is pas.-ingjvcr another equal lime, and over three equal space syatid so on. l'ishth. If the two holies, wz. at the distance 1, and distance CO, commence falling ot the same time, (and neither of thein is to fall oer but 10 feet, or the unit of space, lor that is the whole operation to lie per formed,) nt any iiMant il time during their joint fall 'I10 kr'-y ol the body at the distance 1 , will be 3o00 iiiue-.s ns greni ns ni ine ensiaiice oo ; nut nt nn equal amount ol space fiuiii the commencement of the lall. the velocity of the boely nt the distance 1, will be 00 times ns great ns that nt distance 00. Ninth. During the fall of a body from the begin ning, whether nt the distance 1, or distance CD, then is no part of the space or time passed over, however small, in which the motion isjiot accelerated. Tenth. II we conceive the whole lime ill which n b,."'' ';,lli',f1 mn. .or-p,,re rr,"m ,lle b"-,i"- ning of the fall, to lie ihv tde-d-aito eepial parts, ns into , r . r .i . seconds fur instance il we then assume theiivcf velocity nt the end of the first lime or first second lo be the rate ol velocity nt the end of the second time or second will be I at the end of the third, C and so on by even numbers . Hut there is no portion of the time or space in which the velocity js uniform. l'rom these premises, the reviewer might hare pro. eeeded, per item, to set forth n train ol adverse conclu sions, drawn from the same prcinises,soiiielhing alter the follow in ' manner, viz: Young assumes lhal the same nmoiint of force of gra v it V' is expended , or cxhau-ted , in urging n bod v i II 'ins fill over 10 leet ol space at the distance ol the moon, or di-tauce Od, lioiu the beginning of ils lall. as ' at the surlier of the earth, or distance 1 -, hut Newton as-imie thai it requites only i-i.u pail ns much Young assumes that it is the foice ot gravity ulope which p.'iforius llie whole labir or iqatntion ol urging the body over tin uiul of spice assigned whether ut the di-t nice id' the moon or nt the sui face nl ihe earth and that pa ive tune only wails lor the operation to be peilormed by the force cmploved occorilnig to n rnte or intensity ; which rate or intensity, be nssiunes to be the reciprocal ol the irioe time employed in the operation: Hut Newton ns.-uuies tint nltliough siu-h may bo true nt the surface ot the cnrlh.hnt nt the dis tance ol the moon, lime ietl mis S'J CO of the ulcera tion. Hut I will not further continue the parable ; but will proe-eed to cpiote trom llie reviewer in his own words, where, in reference to my conclusions or iufeienee ilrawii flout ilu premises, he siys lhal, " to n per-on I penranie of plau-ibihiy, but by a moiueiit's refleeiion ' it w. ill nois'iir that a verv important matter is ov c-r- not laminar Willi llie suoje-e-l, mere may pe some np , , , M, ..."i ..u ,IM, ,, , ., looked- lie Mr. o ll gl sa)S lhat It leq.lue.s the Biuie lorce lo enny n laiiiug uouy iiirongii in leet tu the di-i luce of the moon nsnt the surf-ice of lli-e anh, nnd he is doubtless right so lar as re-gardsihe force ac tually exb lil-ted III passing over the 10 feet." Well, if 1 urn right throughout llie 10 .el ihe whole operation to be peilormed the whole p.cmi-cs from which our e-onilu-ious are to lie drawn it would "el" ns "'ougll Ihe reviewer lint given Ine llie who'e eioiiiiu, nu i leiiant iio.i.i.iiiiie.i ...i, ......iiiii i.iui- He would even vvi-.Ii loiis-ume illsuiipoit ol the New tonian lawol gravity And lint ibis last f.,l f ir, feet was itpiiu u rock, which s.imewhal deruugetl the reviewer's enlccdalioiH, is manifest from Ins ntiempts to collect nnd exhibit ihe imporlaut matter which 1 had ovellooked. 1 bus, nfier ns-uiiiiug ns the premises from which he wi-hes ihe inlereuces to lie drawn, thai the same IfleiClieoi il oonj- j, iiinion ine rjiei oi ine kuuic amount of foice pressej upon ii, without regard to tho Ii-uziil en CC'ir III M llie.ll llie llllHl r-sio.l l- oeni in nn-, (and a grenter uhsurdity in regard to uioliou ns being the ejlecl of force applied more or less iutiuecly ran not exi-t in iljlinnieal or mechanical philusophy, whether we reler lo demonstration, experiment or ex- ii..r;ei.e..V lie Iiroeee-ils hv lorea successive iiile-Ilnos. nn-wcrs to ilu premises lie has seen proper loiidvuuie. Hut if il should eventually bethought that he was not quite fair m setting forth his premises nnd putting Ins

!. ti ..;. I. ...... 1 ,1. ., .1 1. lliterrog.ue iuoseiwivrsir7T.Tiiiire&s.s, lor gracious iiuerreigaioiiis.iiiii., ,.-....u......i.i .oc ..i ii- lio ding US nailie was nsi euw iwisi c-At-iLi-s; oi il a disrrctTou. Suppose two balls, A and II, of equal size nnd heft, nre to stirt nt the Mine instant e-acli to be urged lor ihe space of 10 leet overa horizontal plane, by it force which ncceiera es .., im-s.....c ,.u, .e-,,. ,,,,, ,,, CIISC O I lulling nun no . . I ." ' i'ii in one second ol tune, and H III 00 H'couds of time : Now when A has pa.-cd over or lo the end of the 10 feel, ils velociiy will be OJ Inn -s us great us the velo- city ol 11 when 11 has passed over, or to ihe end ol ihu 10 feel ; nnd the velocity ol, either A or 11 al the end of llie 10 feel nun cII'tI of lh' loice lhal has been impressed during the pa-sage ; hut no rultuiial person will n-serl thai ll is un efi'-ct which proves that 01 times the force nnsucrii iiii.ic-ss.-.i on ev 1 1 one sivouu ;,.-,., Ion II lllOUsecoo. henc 'hat lias lieell unpies-ed ;;u ii in eiu seeonds.aild lielice , di I he nlei l-llv ol Hie line eoii5i illliyexerled on A tt Mil) limes us grent uslliatexeinel on 11 ; for n horse l knows belter when In; nlleiupls to ncceleraie his load Willi n view lo the ell 'ct. Hut Ihe whee nud nv e, or indPas, or lev er. is the belte. example. ; s w e there i.i.. .i. . .n I ... imp I r i nl c n t t ti ..I n... i.,n... npiihed, is nlwnys the reciprocal pi the irW umei ml 1 at time cuiployed in the oieiiilion ; thereby making ii lll!(,.lll(. t which the force is npph d, . ... ...i-.0 falling boilu'S where the time is us the .ltancc; und lie-nee ihe intensity ol the torce ii lu- veisely n llie iiis imei. '.v''.. . . .i nj,..u,...ui.... he will liol venture his leputiiiou to n,s.rr,viz . ,llt r,,j.M ur ,. ,-raloii upon 11, or upon the body ut ihe distance! en me ...,..... ..-i.ii...uoi oissive I me, uud ou. -"- : ." ' ',, r'',,"',. "', ' ., : , , . . . .. 0 m,i -, nud this opeiniiiiu nl lime j without rcc, is the imi'oiii.ut in liter which Ik wishca o have It understood that I have overlooked. Hut It would seem that the reviewer. on a moment's rrjlcc. lion, nnd being familiar trith the snhject, ought to Irom the coniin nccincnt ol the fall of n body.there Is no put of the spice that isp-in. c.l over by n in I oriu velocity ; nnd that 10 feet ol spnee and one second of time is not the least spaecnud time In which a lioily can lie falling at tin- sur ace oi inc rnrlli mi. I if, fi.,. ol sonre noil CO seconds of , time is not the least space nml time over which n body ran be lulling nt the distance of the moon: And ne Hot pasica tirrr tliy Work, lie W-ollin nave si-eu on niee 103. 1 hat I had o-irtleiilarle nnintnj out lids slum tiling block, nnd warned ugailisi filling ewer It being nppri'heiis'ne that the vague and unplulosophical terms used in the discussion ol theluw of lulling bodies, (but w!::r!i I have here used in conformity with the popu lar use,) viz: spaces, times, lorces, tlistnnces, eve. in lieu of using ihein In the singular number, might di vert the mind intu the couccplion of spaces in which there was no acceleration; Hut I had not imngmcii that nny one would wax so hot in the pursuit as not to discover n stumbling block 10 leet in diameter. Hut perhaps wherein the reviewer's ingenuity seems taxed to the utmost, is in bis manner of obtaining the sqnniciA the distance nt which ihe force ol gravity op-rntcs that is, the srpnre ed ihe distance nt which it Ins anything ohati'Ver to do with a planet or falling body that is, the squ ire of the distance from the ecu-t-e of gravity to the body to be operated upon, or to the phce where the force is tobenpphed,or the opera tion to t ike place. Thus, the reviewer in his final restoration of what he sa)s I had ovellooked, says; " II, ns he Mr. Veiling) acknowledges, the clP-cts W'ithin the 10 feet indicate li loree at ihe surf ice of the ci rtli CO times as great ns nl the moon, the velocities ncquircii nt the eiul ol the li leet also indicate n lorce CO times ns gre-at at lie surface of the enrth ns nt the moon, nnd COCII3')O0, which is the square of the distance." That is, each indication in speaking for itself, ib r lares the iutetisitv of irmvitv to lie inversely ns the distance : nnd the distance multiplied into the distance gives llie square of the ihstnnc-thnt is, the sipiare eu ihe distance nt which we nre srcMllg lor lis operation nnd intensity c-oiupared witli uuity.'or the rate of iuten-ity exerted ut the surf ice ol llie earth, or distance I, from the cenlr' of gravity ; Thus.ns eneh exnmplc of the rev ieever indicates the force ol gravity to be but 1-Gl) ns great at the moon as at ihe surlace of the earth, the square of the rate nt the distance ed the moon will of couise give Ihe rate nt the square ot the distance of the mooii,vi. 1-3000 part ot unity, or l-3iiti0 part of the rate or intensity at ihe suifice ot the earth . Hut I had wrily thought our inquiry was, to nseeitajii ihe rate or intensity as propoitioued to di-tance, in lieu ol the squ lie of llie iiMance. r-ueh. llien, is the res lit of what the reviewer calls his "elaborate discussion of the law ofirravilv" from which he pioceeds to give what he calls a brief test of my law- of grnvilv. by what he says is one of my men example . iul mat no nu-t.ile or misap prehension mav occur in respect to what he nuts forth to Ihe world ns my own example, 1 will quot- his words vcibaliiu: " He .Mr. VonngJ says two planets revolve around Ihe same ceulie, A at the djs. tauce l,nii.l C nt the distance I, both being retained in their orbits by the force of gravity, ihe velocity ol the planet A will be twice lint of C : but that il an other planet I) be made to revolve at the distance I, wiiu ivvice me velocity oi c. , it would icqutre 1 tunes the force to retain il m the cubit that is exerted on C. The planet 0 tlie'ii, moving twice ns in-t ns C, would have ihe same velocity ns .V nt the distance 1. This no one will ilouM. Now, supp.wc i), retaining twic the veloei.y of C, and, tl,e,lo,e having the req,,i-i1e L,1l,.i,se,,,e,it of the Capitol, and tWists of velocity lo move in the cubit A, he removed from llie Lm..i tVis -ind evlinilrie il rplorts ,.iieh,.ed in I to the di-tance I. The question ihen a s,lf"? 11 1' !Y c '"".r " M"" Ul.c" M 1 ,'" Do -s it not require more lorce to retain a planet in an I lincU and iron frames. he apparatus h double, orht nt the ch-tanee 1 than at the distance I, both Laving the same velocity 1 ll .Mr. Voung's law of nravitv lie ihe tine law, it does not reuuire anv mere butevieily the siuient both di-t-mrcs." And sa)s be is willing lo the eh-ciis-iou of the q-iestioti to any pcisan who will undertake to decide it by run ning round n post; Which doubtless shows the im portance which the levi-wer titt-iches to the truth, or n knowledge ot the true law of gravity otherwi-e than that it be ns promulgated by Newton: And, pertiaps.tiie niettio.i sugge-ieii iiy tlie reve'wer lorde- lerium ng the law will tiring iiim pro-el) te-s; nut t have no hop" Irom such n course. Now, the reviewer (whoever be may be) has put forth the foregoing quotation, commencing with " lie sis that, if two planets revolve nrouiid the same cen tre," A.c. declaring it lo coiitnin what I have alleged, or lo contain nu example by in- given, ns an iq.pliea lion of my law or giavlly ; und ihe n-i.lcr iiiu-t judge what portion of ihe same is iulejnle.l slientld he under stood us being taken from my work.ns no poitiou ol the same is mutke-il os being a quotation. Neverthe less, the readers ot the reviewer's article (inasmuch as they knew not who he was would naturally suppose tint such was my example, given in regard 'to plane nry motion ; but the reviewer knew belter be knew tint not ,ing like it, or rc-einbhng it, was eoniaiiiej m my woik but lhat it was his own example ol bl own begetting, fin. I not mine; and I will not be its putative lather nor will I stand erod-father lo ihe nionsler-whicli ilu could speak, might wellevclaiin, but I will endeavor to dissect it and expose ils delor' iiiitic. llist. The u-e of the 1) ill llie reviewer's example is useless lum'ier.nlheiwis,. as a pivot lor c-hi- CVSfcla!i: 'C tSWrZ" A f om the i(e ci ntr-of gravity ; hence the v.-loci y ol I isju-t inn tii-iiot A tiy ony law ot gravity; und if I) revolve nt the same dt-l'ince ot C around the sune centre ol gravity, or central l.uce, the velocity if I) nni-t be llie same as th il ot I'. Tltiid If the central fore-e around which A, C and I) revolve, be quadrupled, or inerens-d tour-told, then, I 111 order lll ll .v, e anil l lliaj c-ouuuue in revolve wdliotit altering Ineir re-speciive speetive velocities mii-t be double tauces. their re I Hat no one will s iptio-e tint eiiher hetore orntter the c-eiitrnf lorce is lore orntter the central lorce is i.,,....! il.-il lle-oi recti., nl ihe ,1,-lioe.. ol J, I .nt ha'vingn velocity double lhal ol (.', unless us mind shall hive burn disciplined by running round a "".V i.. i c r r. .i .i. loui h. Hither b-fore or after the central torce s'nll l. inerea-e-,1, il C U .cnnivcd lo the d,-tatiee A, in order tint C may revolve ut that di-ianee, it mii-t ilipn have ihe velocity of A . so il D revolve round ihe -nine central force-nt iheih-iaiieeof C it nni-t have the sime vc-locaiy ol O, and il D be reinove-d tu the di - fine. ol A. in order that it nny revulve ut lhat dis. lauce it lou-l have llie sunt velocity ol A, tor two pl.m.-lsc-aiiuot icvolve round the sime eeiiirul force ut eint-'rcni iii-ianees, Having uie same iiieau vcioc-ny one with the other. Ihe reviewer'sexainiile or siippo-ifion then, when xaiiuie or siiono-ilion then, when -irn.i mid i, i il,J-s: I.,,..,- i anJ I) to revolve around ihe same central fore-e ol irravuv Inviiw llie s ime turau vrlociir one with ihe oilier, while the in. -an di-tineo of I) Irom the centre of gravity is four tunes tint ol A. Then suppose I) lo he removed lo ihe dl-tnuc-e of A, who-e- dl-l-llice is cnlled unity or I, Qaeie : " Does it not requite more force to renin a p'nuct m nu orbit nt the di-tuoe-e t than at the di-tance -1, both having the tame vc-lo-citv I " Tims the rivievvei had nerves enough lo put forth to povsihihlies, and then lo interrogate the public for an tne pulilic ley way oi pteuuses, u supposition lulloi un. l Illisw er lo .1 s.iii.i---ii c-oo-'-.'.iciici- nie u is ns i.irc-lgii to me premises nssumeil us it is to common sens i,i,i-irvnswer.thec-a-e mil inmhi have he-7-eon-,,l. ered us im imposition . Dm the reviewer ought lohavr inforiued ihe i-iblio of the simple lact that his ca-e put o i:. ... ,i. v.... ... i .... . .i , I e i.i 1 1 , . .. ... ....'...un I.. .i ".ii..'.i.j i e ,s.o.Wuee,neNe,W nlleiupts to ueuuee me ,.ew-ioiuun i iw oi gmv-liy. that ug.iin, by taking two direct indications of my liw, uud niullipljing one by the otlier. The reviewer in another put of his article, in at- 1. ...... I... !.... .-.I r I i iniiiuiiy u mi.... ... n., ,. m Biin,, us Ill-O OI Illy suei-rsin.ii- inn in iny en uie- e-q.l.llions , lhat have been n.lopied in modern astronomy have uri-eu from all attempt lo rironcile obserual phenoiu - en i vviih nu erroneous law ol gravity, breaks forib in the following triumphant language " Wonderful in - . , ,, - ,e "7 ' I - i'i I 1 il I n-1 --. ... . t nj.n eue; 'i,iii.-, Heisehel whiell Ins no exi-leliee! " , Now the reviewer ought to hue ascertained Irom my work that in lieu ol deli) mg lo ihe heavenly bod- i 's di-liirbing forces upon e ach oilier, 1 h ive even brought thein lorih tiscvidencengnii-i lie Newtonian law ol gravity. Hut ns it would happen, nt or nbout the lime ihe re- viewer was willing his nriiele, I'luh-ssur 1'icrce, o inrvnr.i I'liiver-uy, was perp even wuu ,e verrier s ..t-oiec -m. m ii letter oil lhal su licet hesii-slhn plane ly us obsciml does not sati-ty the problem ol the periuibatioi ol'he ns un un-wer in which h- errier sought il, and lint lis orlui ns observed is l if erent from lhat predicted : nnd proceeds to say, lie is convinced thai .1 is not the planet ol I, - Vcr- ......j ..r x .1 ii...- i 11:11 n eeri mil nv. nn il)si lull luu-l lie regirde.l ns n h ijipy nccident ' And Mr. Maury ol Ihe ( Lisoi-vatory nt W.i-h'uigl m lor miller (irangeiiwii win p rple'xe.l in the Mine way And no IIiilOisIi wnler. in u woik hv him published in houdoii this venr HI7,oue iiiriiou ot vvlncli is ilevo. I,, vvinc.i is dev..- 1,1 I.i :i e.,ii-i.lemtloll nl I .,.'s til.inel . 111. I llie . .i .i....i. ..." sho.v, that he Vrrii-fs planet could not Inv. tieen ch-eoveie I upon the principle of analysis, lor tint it in no wise regards ine .ewiouian uiw oi gr.ivuy aii.i ms neniu upon ine noes, ue uiieuqiis . . snow ina the ndes ue.-oidunjlv us such ihej'iv has len nr. die a- ted iquu ihe New Ionian theory uuj law ol giaviiy ; and gives many examples, as for instanee nt t,i:i Isend in I'. iglaiid, nml at llre'st in 1'rane", he tides ns high, while nt rit. Helena and St. Tuouvis (i' s t.nte I fir in the ocean, hut Iving in thcsiui" mend ians of Inndsen.l and llrest.) there nre no tides. And hence the nulhor, (hiving no suhititute for th- New tonian tlnory nnd law ol gravity, -eeins in-jliiwil to wnoiiy reject gravity irom u iving any control over the heavelllv bodli Hut n Mewiand lair of gravity properly assigni'd, so tint their elf-els nny be calculated, and relied on, uri me gnnm i.uiiioiaue-j iij wioc-o IO re-oivc inueil Ol 111 ' pii'-uoiueiri oi nature, imii i cannot egree Willi t.l conclusions of Prol essor I'ierc' for the iiriifii'l" e gravity is siiflmcnt to have enabled l.e Veni-r to lutik" Hi" discovery ol tne planet, Irom the peituib itions o H-rsc.iel; I lit the .Newionhu law of gravity upon whit h Le Verrier relied, isiiotsitllieient iwi.u w! t.i ib'terin.n what the lorniol the u.bit would be, or lh course i'ii! plin-t would pirsie; iin-.:ini -!i ns tli 1 met, in Its course, is not controlled by th' New-Ionian i 'T.'. ..'V" " 'Vf '""" 'l-V,' ''""''"eel. whether ll -.ive-n colli i-.tllil lll.i-Jl I ill oe-iiue ill.- .evvioiliau lav. of gravity, ns by iiim promulgated, shall even In qu-snon-ei. In regirdtomy thmm of universal gravity, contain ed in my "Outline ofn Tli-ory of the Sol ir System," and to which the reviewer siys h' is not so much dispos'd lo find fault ns ij the introduction Into it ol my law'ol inrcrBC.wlJjZZlltiislttn-cs, ill which he as su nes, that it my theory is true," it iseny to ealcurtti- lint a clock so rej dated as to kee p true lime m July would gnu no less than -3 minull-s in a dav hi Deceio- b-r.nud rice reisa" it cannot be expected that he will heroine a convert to my theory, until bis mode of calculation ns,i what nltereil and unproved. Hut as it is not my design beie to discuss theories, unless tllCV lite the cliri-Ct atld inillietlhteol'-.orillir III IlialllC- I .b!!.PM!!,o,,,,?' ' ',''l1ll'l'r''"llS'''-ln.',', '"", 1 : " .u.j icn-wei .-v.po-uioii oi me iioerraiioo oi me uxeu stars nml llie pro 'n-ssive motion ol light. in which exposition it is iinn.fe-t that the reviewer his ri lied qnilc too inucli upon Ins own povv-ers,---i'veii to no ex. taoniTu i-s-s Irom which the I)r drew his conclusions, (which premis s I li ive itt i rih nt length in llie pr.'s own words ; and for which mingling llie Dr. woulel not iiroba ily tli-ink him,) the reviewer proceeds to make iusow-,1 iiejiieiioiisoriufrences; and thev are cer tainly such nscou d never have entered lh? l).-.'s imag in 1 1 ion ; And who'ver m cy have b 'en I inghl accord ingto the reviewer's exp)-itiou. might do well tn ex amine the pieinis.'snml see il these things be Ml AIJ(;U.STL'h YOL'NC. Si. Albans, Vt., Oct. 7, 11)17. l'i-oui llie Washington Union. CrutcliettV Solnr .'n-i nt Ihe Capitol. Wo have already alluded to the fir-t lighting of the Capitol by gas, and the lofty lantern over the dome, and the efi'cct produced cuius and others. We promised further particulars ; and, on Ihe information of .Mr., wo nrricei'd to redeem nur ii pibro : The solar gas, invented by .Mr. .1. Crutrliett, inatiiilactureit in a small room nilioitinig- th so as lo provide lor Ilia use ol one while the other m ly he repaired or cleaned. It priluc"s crime g is r.ipnlly from the coinmone-t crude nils nl an'in il,, or vegetible -uli-t.inces allording it, lints, common whale oil, or foot, cotton cod oil, etc. grci-e from any -ource supply the in iterial. On pi--ing through the cylinders, which are heated to redness, all im purities cither than carbnretted bvilrc.oen are so- peratcd in the nvi-t simple manner, an 1 fitted for transit into the piholder, where the gis pisses by vil tne or force of the pressure under which it is generated. This put of the winks i situated in the centre of the area in-ide the northwest terrace; the water-tank, receiving the gis-bolder, being surmounted with a beau lllul nia-sive grauile atn-fe, (curbst, iK.,) having six iron pillar- around it, supporting a cornice, all hreiir.ed giving it a lie it lini-b, uud making it an oriiiiiient to that part of the Capitel here tnfore the repo-itnrv of coal, w ood, etc. When- ever .'.a-is li.ln.r u"-n,l. iu.t in nronortion tn the consmnptiiin, thegts flows from the ga -holder ; and in its passage through the tuhis to the hnr- is made to op-rite (by its pre-ure) on j another :ipp iratns, which, in itsciperation.hrin I '" conihtnritimi with the gis a certain a.iin-.nit I of atino-phere, the oxygen of vvl.i.'h goes to lix . llie rich carbon of ga- as light ; and the auriitnt (1fa7iite pro lure-a -oflne-s and color to the light, ' '? -n-t agreeable kin la e.lect not found loan-ein any oilier light ; so mat, nnwevor in tense the light in iv be. it can lie looked at b the eye, and afterwards the smille-t print nny . lu seen ; proving; its a laptation to the purpo-es of sight above any other artiliei il light kuow.i ; be-ides which, it ireidnces a -ens itiiin nf plea sine tint cannot be de-cribed. ami doe- not .if- - ! r.,.. .... c!r. tl... ..,.r-.... .....iinii To.. ' .... i L. . ' .. .i. ? .... r. . .. 1 1 " 1 ' ""I'l i I "I"- lu,,J " ""r. - , ' " " tllC IpillliT til the till nior-. III ll) gelll T lie.l rl V l W. I miles ill length, are laid or let inlo the -olid wall--, arches, and llonring (brick an I -ton ) of the building, being a work of gre it lab ir and , " ,.r.,. , .,,rlJ oxp'n-e. tt.i thr.'.iditlg tin v in nn pi-agds, ! rutuniloes, rooms, eVe , nl llie ( ipitol, you -ee I the n nu Mils lights from the walls all 1 ceiling', .lm ;w naturally led to seek for a source Irom i . ,. ,,;i.. ,,, .. ,; i, ih I w 1 --"p0 '10 -"" TO C,"V, " ll, X'U1 '" ' l ' soared ; ciiu wan- aiu sunn, ii.uu, aim sinooui Xn breach, or tube, or -ource. i- -ecu to -ati-IY tlio inquirer. .onie -uppo-e uie ngni i- in tne metal ; others lliink th ru is -nine in igic abiut it. ., .,.., . 'i.miiiinviiiuii liroiil llie t, ner.ild 1-tei iidj.t i to d; lo snittV out the I1'1:'. "."ll: -"'I;rs ; and after various unsuccessful ell i't- and burns, eon clinleil it was hi -oino wiy connected Willi th" lower legiom! The bracket-, p 'n I nit-, an I ch tn.loliers oftbe o.liees, moms, pis-ige.-, eVc. are of the b'-t kind nude cvprr-.-ly lor lh places they till and show tint tin- kind of in iiiuf.icliire equals any in llurope, both for p li tem and tiiii-h. Hut the crowning merits ol this work are the gre it ch mdeliers III the Svmi ifn rli.mi'i.T anil li:t!l if Itctin'L'iit.itix e-. .Mr. )-! fVntrfi.ttt tiirrrtoJ in tfm t.irnn nf liU iMtlltf.lCt. l' '" mo r-.-u no en ini H.r, inn . i iv que . I el I I i. .ii ..e i -sentativt's, rotund. i, uud lantern over llie lion , one of his improved concentric gi- burners. The ... ..' . . n t it... , olio in tne Meiiiio en nun 'r i eucio-fii uy v.i- '0' VIM(J cliains ; e-acli ring li is atl iclicd tn II- , lower rim !il-i-s drops anl pri-uis line b.'low another, so lh it tho whole together fiinns an in- . ' . . " . . . verted c-cllid ot cr ess all m dfd work, oii'ii ,11,,, i : ,1,., ,, ... ,-,. I,,, ,P t ,, il, . - '"!!- discover the iiivverlul burn 'r in the , centre, which gives tho light of .j,0!)0 -vrui , candles. Over the lirgo burner, an. I lormilig 1 a exterior rill" of the chandelier, are tiih.-s and 'v,,,., arranged in a form of thirteen star liiiug also with ! i-s, producing by d lylight a suitablo arr.tiigeiu "tit to the ch unh.'r ; and. when lighted, the oru iinental jet- (-everal hun dred in iiiim'jjr) form stirs of brilliitit j ts, iv Inch produce one of the grandest ell'ee't-, with the sun in ils centre, that cm bj de-eiibed in t'ict, description fiils to protny it. Over the-e -lar. of light and gl iss-vvork i-'.t ceiling- of jil ite g! i.-is, silvered,'d by gil Jed leaves binning- a cornice to the whole ; tlio cornice fits up agiinst one of the circular windows of the ceil ing, souii; forly-twci feel from the floor ; and the h-i.iiitil'iil pinels, lighted strongly, sh.m- thein. 'u u . '"' , ,i" loriu. d Miad.ivv - Id.Ie r giv iter rebel to the ligi I The rb itulrlier of Ilu cclve. inucli bellcr thin li el.iv, there being m J opjii work, giving ligitre lier of t be hill of U"nri-n!it.-itii.- u Vl,ry i,rt;,r to that or the Senate '"..f the thirteen s I : ;,,,n ., ),.. ,,r tl,,. s ,.. i i... I 3 . ..... ... .i tut. . except I lit. lu-teael n the I iirteen stars, there 1 are t iir.een scroll., so I'eiinic-cteil as tn m iko a I C Mitiliumi. circle J and the.-o produce .1 line cf- (ct. ''lm e Ii nulelier is sixty-two leet alwve , ,.,,. tltxw i1n .,., ilirm4 ,.,,n,ri. t,, ,e skylight under tint i th i cupola, 11 .th nl these ch.uiJcliors aiu so .uraned tint all the carbonic tricl, fnrm-il by rnmh tsibn. neen'ls ttpwirJi. f 1 r niL'ii nnip'jr vpnlilntors nut-dibs tlio buildlne; j his iinprovnm-nt Mn- the latest and liest, IsTlh for koppiiij pure tbo cha'o'r, nnd rritilnllnjr, hv flin npfMlion of e'liuibiistio'i, Iho clinmljor so 'lirlifoil. Tim chiniNMnrsin tin I'resld mi's md Vico I'rpsMent's rooms pro rich nnd chvlo in 'li" bii'!i"s clparee, fie -i-rtii lr!nir tlit? piiwt ervl ilinc yli". and forming- pljlit humeri in 'tei, Allii.fplli"r, lln.' rns oppar if it , manner nf !itylnr tlio pipes, nnd slvlo of fixturps, cln I 'piioi's the v oriel for its rqi.'al ; ami wo liopp ll u oxpensp incurred by .Mr. Oit.rhett. nhfivp ll " ippniprintlnti, will he m ii)n tip by Congress, if to their satisfaction. Lastly, wo sli-t'l imllrp the lantern, 100 feet above the dome nf (he C'ipitol, w hich has been ,'nlly fe.tpd nnd in niwrminn several tiiihts cd' - ... ,t t, , . , i , ,t public irrimnds in-iile the railing-, (about thirty ucros,i but p.-t"m! and is pf groat iHMicTit sptti'j o-p'-qu-irtpr nf a mile boyond in every direction ! and, in firt, is of great public benefit n mil " from its centre, or h drijr tvvn miles in diameter ; nf roursp, the light, a- it recedes from tlio rptitre, benunrs less and less, till tlio r.iys aM haliipil, proline in;; an effi ct similar tn that nf a rising- moon in in enrly stapr-!. Jlv-lhc-hye, in iny of our m-i-riiiinrs in (.-erirjrotiiwn nnd Al ev indria lind some fault in consequonco of lit in-ihlKte- to li.rht llimi, tin million. rl tl w n Loin. If"' "ll'i''l "'f ' "i.v miles froiirany point ntl'l ,(,nn!,nlicallv is emitted tn the name Vomn have, . i , ,, V. . V ,, L'IVpii It, of" llie N itiottul lintern. No wonder that this gin Is in ikintj wav rapid- v ',, various States, and mostly where it lilt nenvtnorctlnnciim hundred t-l ilili-liinents nl various kinds lighted, soiiip fur three years past ; and the tnnro ti-eil, the morp apiroved over pvorv oilier Ii"ht, vv both- or ,.(, ,, -.i, i. c. ; and it is idp.sinL hear tint Mr. Crutc'hett his more applications for works than lie e in attend lo, and tint openings fur -iirpncios nmi ccrnp.ini js in various Stales pxi.t lor the iino-tmeiit of capital nnd Iho cat ryiii"; coil this brilliant invention, lly the way, wein-iy -tab-, the reason it Hcillcd "" e-ai" is. th it it- raj s appro irh th it of the sun much nearer tb in :iny n'hnr, both in color and soft-n-s ; an 1 the color is. produced by similar in-- ins in its formation. .Mr. C. i prppiied to elispo'C of rights for Stites iinprnvid.'il for, it h -ing quite itnpos.ible for him person illy to attend to hut a sin-ill part of the United St iles. enmp mies havo been form "d in tlio New Ilngl ind and we-tern S'a'es, an I are erectins apparatus in various eMl.cs. ictnne-, rliuri'lips, hotels, ,ti-aml)oits a-id rc-ideir-es. Mr. C- has some hundred tes ti in ni-ils from c-t-i'jlishtn"iits having it in use. U u wish lion many returns for fits laoors , aim ''-I'vliccs ill bringing into p-iolic n-e this alu- ablo improvement and public betiftit. m0 "l'roll-l"L"'' I ni.r-Tgii ity iv I."..vnir.i; ltims. The hnn doii Mi il-n: J.mrntl -iv-, that "In Dr. Silli- min'n Amerie in Journal tbeie is a notice on the above subieet, slin'.ving a proiertv' ill leather vrhicli we think it is not generally known to pii-s?s. In e.vitu' ning the leather binds of a cotton mill, mi the sol cna-t of .Maine, they were found to li" highly excited. J hero tiro several hundred band in th" mill, rind those which turn upon wooden drains or pulleys, whereby they are parti illy innilatcil, become highly rhirged. One lived upon lor making mo-t of tlio experiments v.-i- 35 1. -ct long, (J inches wide, in-wing I.'kIJ feet per minute, pissing two wool. 'II dinni which rcv.Jio upon an iron shaft 180 li nu -,-- minute ; nr I Vti cloar' weatbeT an electric r pari' may be laken on tlio knuckle held b'bnv the bind'at 17 inches dis- tinoe ; on presenting the end ot the linger, tlio stiiking di-tance n :i leet : tho point ot a black pencil show- a eli-hnrt brii-h l feet from the !'i'!. i'1"1 :- "teel P'-iut b.-.-oiii liimitions at 7 feet. When the hand- an in this condition, tho hrt prci es of tlio cotton maiiitl.ictiiro are nieiiueii vvini serious iii'-imveiiieuce ; ine line liliinenls of Ihe cotton repel each other, can ing a d" il of vv.i-te, and in several iu-tatices the whole il-i.ving.'' as it i- term 'd, Ii is been lifted from tlu tuieliine to a Inn I 1 feet al ove it. Tlt?.-e di.iicitlties are now pnli illy removed, by extending a coivlm tor of wire to an iron .s'eui pipe which nai-etiirnu;!i the rooms, and by emlttlt. - ;-i : of steam near those h i lid - th tt are mast highly ehirged. iiy pr,-sur.t:iig a piece of leather U (etJong, with one edge .lightly curved, to lh" bin I, a siicce-tion of brilliant ll i-lies and j.'t- isinriisili itely proditced, giving a very perfect iuiilatioti of ihe aurori light. O'her experiuienls were on tercel intu. sliow inaf tho I ivorahle nature nf the chin ite for Ihe ilev ehipnieiit of electricity, wliieh, prnhiMy, at no season could h.- observ ed in tliis country.'' Iln.if.ini.- Sutr.-.r.i . at Se.v. The schr (Jir.dine, of ti.ico, ,M line, on Iter way front Sir tint th, wis ili-ini5od at s.aon the 'Jfitli lilt., cai-i.ed nail all her provi-ioin and water -p died or vv i-hed nverboird. Two ol His crow w re dro.v, leMving f wr -urv iv.irs only the hi, luU, MV , r,0 r,lr flln t ,10 wriV. ciplnn, In- in ite, a b..y and nn In-biinti. lor seven t! ivs ihout food or wit 'r. They siiccetdeil,eiii the! -eventli, ill pr .curing -i little rain water, and w re spnken, in tie tu an tint, by a ves-ol which Hied to a.-i-t Ihein, but tlie ri.'e was mi Ii .ivy thev w-re ilnlh.'etn do so and the vcel-. were'pirted and lo-l -ight of oaeh cither in tho storm. After fifteen d.ivs, in which the.-o poor fe'l ill's were without or water, thev vveio coal lelled to dnw lot--, 1 1 -ee which should du tu preserve ill? lives of Ihe others. The lot fell iikui the Iri-biinn, who drew his knife an swore he would not die, hut that tho hoy should be -lain. The captain hH'tccI his own life as icii'ice. bat they ic-f.i d to kill him. 'Hiding the In-hiit in determined to kill thu boy, ihe ra7 tiiu procured an adze from h dow and cnmiiig on de.!( w itched his opirlnnity. As the Iri-h-mill ahaticed tow ink- the boy to take hi- lii' Iho captain -truck him with tiiuwUe and killeil him Tor thrive! iv- th -urvivors Ihe captain, in ite aril buy llvial upon Ihe blond and lle-h nf their coinrade, and vv hen ahno-t e'.vh in-led were -poken and rescued b a vessel Irom .New Haven. "Tesvs .vvn Ouphiv.' While pa-ng my noighls.r's hirn-viril, the other day, my atten tion w is atlraeliil by a I irgw ox that wns'lusllovv mg anJ I ibormg with the lerncily of i Java lifer to get at a surly Hiding outside nl thevurd ; curio-ily to witin- the uiove iii nits and tinil result oi the tlireateneil conte.-t b 'I.v ceil the two Mligerents, I stotiel upon tin leithcrs, while the ox thievv a rail thi- way, till everv ii'i-t.icle was rem ived, when to my "titter surprise, Mi-lead of iippioachiug the hiill.'Uie ox wh"eleel illreclly aliiit, mu iuriiuisly ut a leeb'o oldcnvv, lo!lowe.l he"r up till he eonif rjil lur in thu npisito side ol tic yard, and then huokeil lier over the fence. I'ikmi sevin" this I ceiiil.) not help exclaiming. ' i on covvitrefly limit) ! oii give up Oi'go i and ili.k.1 war upjti iJexico !'' l,ut.juiiil'iiJ DeuiKiat. Tim sMj.u.ut noiisii vut. A mere i.'tnv hor-e, weighing only IA puiinls, the sin-tfle-t pitlern of the horse kind lh it ever lived, lias been sent to !en. Tom Thumb, a a pratent t'rnni Java. It is a vvoiiJcr, and Ihc lit- lie deiiejial will luul ill lit a v.dunbki aoeiultllioii to hli u3remal ixnivcilivnci', ,