For,inrespecttothelatterbranchofthesupposition,itshouldbeconsideredthatthemosttriflingvariationinthefactsofthetwocasesmightgiverisetothemostimportantmiscalculations,bydivertingthoroughlythetwocoursesofevents;verymuchas,inarithmetic,anerrorwhich,initsownindividuality,maybeinappreciable,produces,atlength,bydintofmultiplicationatallpointsoftheprocess,aresultenormouslyatvariancewithtruth。
  And,inregardtotheformerbranch,wemustnotfailtoholdinviewthattheveryCalculusofProbabilitiestowhichIhavereferred,forbidsallideaoftheextensionoftheparallel:-forbidsitwithapositivenessstronganddecidedjustinproportionasthisparallelhasalreadybeenlong-drawnandexact。Thisisoneofthoseanomalouspropositionswhich,seeminglyappealingtothoughtaltogetherapartfromthemathematical,isyetonewhichonlythemathematiciancanfullyentertain。Nothing,forexample,ismoredifficultthantoconvincethemerelygeneralreaderthatthefactofsixeshavingbeenthrowntwiceinsuccessionbyaplayeratdice,issufficientcauseforbettingthelargestoddsthatsixeswillnotbethrowninthethirdattempt。Asuggestiontothiseffectisusuallyrejectedbytheintellectatonce。Itdoesnotappearthatthetwothrowswhichhavebeencompleted,andwhichlienowabsolutelyinthePast,canhaveinfluenceuponthethrowwhichexistsonlyintheFuture。Thechanceforthrowingsixesseemstobepreciselyasitwasatanyordinarytime-thatistosay,subjectonlytotheinfluenceofthevariousotherthrowswhichmaybemadebythedice。Andthisisareflectionwhichappearssoexceedinglyobviousthatattemptstocontrovertitarereceivedmorefrequentlywithaderisivesmilethanwithanythinglikerespectfulattention。Theerrorhereinvolved-agrosserrorredolentofmischief-Icannotpretendtoexposewithinthelimitsassignedmeatpresent;andwiththephilosophicalitneedsnoexposure。ItmaybesufficientheretosaythatitformsoneofaninfiniteseriesofmistakeswhichariseinthepathorReasonthroughherpropensityforseekingtruthindetail。
  {*1}Upontheoriginalpublicationof“MarieRoget。”thefoot-notesnowappendedwereconsideredunnecessary;butthelapseofseveralyearssincethetragedyuponwhichthetaleisbased,rendersitexpedienttogivethem,andalsotosayafewwordsinexplanationofthegeneraldesign。Ayounggirl,MaryCeciliaRogers,wasmurderedinthevicinityofNewYork;and,althoughherdeathoccasionedanintenseandlong-enduringexcitement,themysteryattendingithadremainedunsolvedattheperiodwhenthepresentpaperwaswrittenandpublishedNovember,1842。Herein,underpretenceofrelatingthefateofaParisiangrisette,theauthorhasfollowedinminutedetail,theessential,whilemerelyparallelingtheinessentialfactsoftherealmurderofMaryRogers。Thusallargumentfoundeduponthefictionisapplicabletothetruth:andtheinvestigationofthetruthwastheobject。The“MysteryofMarieRoget“wascomposedatadistancefromthesceneoftheatrocity,andwithnoothermeansofinvestigationthanthenewspapersafforded。Thusmuchescapedthewriterofwhichhecouldhaveavailedhimselfhadhebeenuponthespot,andvisitedthelocalities。Itmaynotbeimpropertorecord,nevertheless,thattheconfessionsoftwopersons,oneofthemtheMadameDelucofthenarrativemade,atdifferentperiods,longsubsequenttothepublication,confirmed,infull,notonlythegeneralconclusion,butabsolutelyallthechiefhypotheticaldetailsbywhichthatconclusionwasattained。
  TheNewYork“Mercury。”
  TheNewYork“BrotherJonathan。”editedbyH。HastingsWeld,Esq。
  NewYork“JournalofCommerce。”
  Philadelphia“SaturdayEveningPost。”editedbyC。I。Peterson,Esq。
  Adam{*14}See“MurdersintheRueMorgue。”
  TheNewYork“CommercialAdvertiser。”editedbyCol。Stone。
  “Atheorybasedonthequalitiesofanobject,willpreventitsbeingunfoldedaccordingtoitsobjects;andhewhoarrangestopicsinreferencetotheircauses,willceasetovaluethemaccordingtotheirresults。Thusthejurisprudenceofeverynationwillshowthat,whenlawbecomesascienceandasystem,itceasestobejustice。Theerrorsintowhichablinddevotiontoprinciplesofclassificationhasledthecommonlaw,willbeseenbyobservinghowoftenthelegislaturehasbeenobligedtocomeforwardtorestoretheequityitsschemehadlost。”-Landor。
  [AstoundingNewsbyExpress,_via_Norfolk!-TheAtlanticcrossedinThreeDays!SignalTriumphofMr。MonckMason’sFlyingMachine!-ArrivalatSullivan’sIsland,nearCharlestown,S。C。,ofMr。Mason,Mr。RobertHolland,Mr。Henson,Mr。HarrisonAinsworth,andfourothers,intheSteeringBalloon,“Victoria。”afterapassageofSeventy-fiveHoursfromLandtoLand!FullParticularsoftheVoyage!
  Thesubjoined_jeud’esprit_withtheprecedingheadinginmagnificentcapitals,wellinterspersedwithnotesofadmiration,wasoriginallypublished,asmatteroffact,inthe“NewYorkSun。”adailynewspaper,andthereinfullysubservedthepurposeofcreatingindigestiblealimentforthe_quidnuncs_duringthefewhoursinterveningbetweenacoupleoftheCharlestonmails。Therushforthe“solepaperwhichhadthenews。”wassomethingbeyondeventheprodigious;and,infact,ifassomeassertthe“Victoria“_did_
  notabsolutelyaccomplishthevoyagerecorded,itwillbedifficulttoassignareasonwhyshe_should_nothaveaccomplishedit。]
  THEgreatproblemisatlengthsolved!Theair,aswellastheearthandtheocean,hasbeensubduedbyscience,andwillbecomeacommonandconvenienthighwayformankind。_TheAtlantichasbeenactuallycrossedinaBalloon!_andthistoowithoutdifficulty-
  withoutanygreatapparentdanger-withthoroughcontrolofthemachine-andintheinconceivablybriefperiodofseventy-fivehoursfromshoretoshore!BytheenergyofanagentatCharleston,S。C。,weareenabledtobethefirsttofurnishthepublicwithadetailedaccountofthismostextraordinaryvoyage,whichwasperformedbetweenSaturday,the6thinstant,at11,A。M。,and2,P。M。,onTuesday,the9thinstant,bySirEverardBringhurst;Mr。Osborne,anephewofLordBentinck’s;Mr。MonckMasonandMr。RobertHolland,thewell-known鎟onauts;Mr。HarrisonAinsworth,authorof“JackSheppard。”&c。;andMr。Henson,theprojectorofthelateunsuccessfulflyingmachine-withtwoseamenfromWoolwich-inall,eightpersons。Theparticularsfurnishedbelowmaybereliedonasauthenticandaccurateineveryrespect,as,withaslightexception,theyarecopied_verbatim_fromthejointdiariesofMr。MonckMasonandMr。HarrisonAinsworth,towhosepolitenessouragentisalsoindebtedformuchverbalinformationrespectingtheballoonitself,itsconstruction,andothermattersofinterest。TheonlyalterationintheMS。received,hasbeenmadeforthepurposeofthrowingthehurriedaccountofouragent,Mr。Forsyth,intoaconnectedandintelligibleform。
  “THEBALLOON。
  “Twoverydecidedfailures,oflate-thoseofMr。HensonandSirGeorgeCayley-hadmuchweakenedthepublicinterestinthesubjectofaerialnavigation。Mr。Henson’sschemewhichatfirstwasconsideredveryfeasibleevenbymenofscience,wasfoundedupontheprincipleofaninclinedplane,startedfromaneminencebyanextrinsicforce,appliedandcontinuedbytherevolutionofimpingingvanes,informandnumberresemblingthevanesofawindmill。But,inalltheexperimentsmadewithmodelsattheAdelaideGallery,itwasfoundthattheoperationofthesefansnotonlydidnotpropelthemachine,butactuallyimpededitsflight。Theonlypropellingforceiteverexhibited,wasthemere_impetus_acquiredfromthedescentoftheinclinedplane;andthis_impetus_carriedthemachinefartherwhenthevaneswereatrest,thanwhentheywereinmotion-afactwhichsufficientlydemonstratestheirinutility;
  andintheabsenceofthepropelling,whichwasalsothe_sustaining_
  power,thewholefabricwouldnecessarilydescend。ThisconsiderationledSirGeorgeCayleytothinkonlyofadaptingapropellertosomemachinehavingofitselfanindependentpowerofsupport-inaword,toaballoon;theidea,however,beingnovel,ororiginal,withSirGeorge,onlysofarasregardsthemodeofitsapplicationtopractice。HeexhibitedamodelofhisinventionatthePolytechnicInstitution。Thepropellingprinciple,orpower,washere,also,appliedtointerruptedsurfaces,orvanes,putinrevolution。Thesevaneswerefourinnumber,butwerefoundentirelyineffectualinmovingtheballoon,orinaidingitsascendingpower。
  Thewholeprojectwasthusacompletefailure。
  “ItwasatthisjuncturethatMr。MonckMasonwhosevoyagefromDovertoWeilburgintheballoon,“Nassau。”occasionedsomuchexcitementin1837,conceivedtheideaofemployingtheprincipleoftheArchimedeanscrewforthepurposeofpropulsionthroughtheair-
  rightlyattributingthefailureofMr。Henson’sscheme,andofSirGeorgeCayley’s,totheinterruptionofsurfaceintheindependentvanes。HemadethefirstpublicexperimentatWillis’sRooms,butafterwardremovedhismodeltotheAdelaideGallery。
  “LikeSirGeorgeCayley’sballoon,hisownwasanellipsoid。Itslengthwasthirteenfeetsixinches-height,sixfeeteightinches。
  Itcontainedaboutthreehundredandtwentycubicfeetofgas,which,ifpurehydrogen,wouldsupporttwenty-onepoundsuponitsfirstinflation,beforethegashastimetodeteriorateorescape。Theweightofthewholemachineandapparatuswasseventeenpounds-
  leavingaboutfourpoundstospare。Beneaththecentreoftheballoon,wasaframeoflightwood,aboutninefeetlong,andriggedontotheballoonitselfwithanetworkinthecustomarymanner。
  Fromthisframeworkwassuspendedawickerbasketorcar。
  “Thescrewconsistsofanaxisofhollowbrasstube,eighteeninchesinlength,throughwhich,uponasemi-spiralinclinedatfifteendegrees,passaseriesofsteelwireradii,twofeetlong,andthusprojectingafootoneitherside。Theseradiiareconnectedattheouterextremitiesbytwobandsofflattenedwire-thewholeinthismannerformingtheframeworkofthescrew,whichiscompletedbyacoveringofoiledsilkcutintogores,andtightenedsoastopresentatolerablyuniformsurface。Ateachendofitsaxisthisscrewissupportedbypillarsofhollowbrasstubedescendingfromthehoop。Inthelowerendsofthesetubesareholesinwhichthepivotsoftheaxisrevolve。Fromtheendoftheaxiswhichisnextthecar,proceedsashaftofsteel,connectingthescrewwiththepinionofapieceofspringmachineryfixedinthecar。Bytheoperationofthisspring,thescrewismadetorevolvewithgreatrapidity,communicatingaprogressivemotiontothewhole。Bymeansoftherudder,themachinewasreadilyturnedinanydirection。Thespringwasofgreatpower,comparedwithitsdimensions,beingcapableofraisingforty-fivepoundsuponabarreloffourinchesdiameter,afterthefirstturn,andgraduallyincreasingasitwaswoundup。Itweighed,altogether,eightpoundssixounces。Therudderwasalightframeofcanecoveredwithsilk,shapedsomewhatlikeabattledoor,andwasaboutthreefeetlong,andatthewidest,onefoot。Itsweightwasabouttwoounces。Itcouldbeturned_flat_,anddirectedupwardsordownwards,aswellastotherightorleft;andthusenabledthe鎟onauttotransfertheresistanceoftheairwhichinaninclinedpositionitmustgenerateinitspassage,toanysideuponwhichhemightdesiretoact;thusdeterminingtheballoonintheoppositedirection。
  “Thismodelwhich,throughwantoftime,wehavenecessarilydescribedinanimperfectmanner,wasputinactionattheAdelaideGallery,whereitaccomplishedavelocityoffivemilesperhour;
  although,strangetosay,itexcitedverylittleinterestincomparisonwiththepreviouscomplexmachineofMr。Henson-soresoluteistheworldtodespiseanythingwhichcarrieswithitanairofsimplicity。Toaccomplishthegreatdesideratumof鎟ialnavigation,itwasverygenerallysupposedthatsomeexceedinglycomplicatedapplicationmustbemadeofsomeunusuallyprofoundprincipleindynamics。
  “Sowellsatisfied,however,wasMr。Masonoftheultimatesuccessofhisinvention,thathedeterminedtoconstructimmediately,ifpossible,aballoonofsufficientcapacitytotestthequestionbyavoyageofsomeextent-theoriginaldesignbeingtocrosstheBritishChannel,asbefore,intheNassauballoon。Tocarryouthisviews,hesolicitedandobtainedthepatronageofSirEverardBringhurstandMr。Osborne,twogentlemenwellknownforscientificacquirement,andespeciallyfortheinteresttheyhaveexhibitedintheprogressof鎟ostation。Theproject,atthedesireofMr。Osborne,waskeptaprofoundsecretfromthepublic-theonlypersonsentrustedwiththedesignbeingthoseactuallyengagedintheconstructionofthemachine,whichwasbuiltunderthesuperintendenceofMr。Mason,Mr。Holland,SirEverardBringhurst,andMr。Osborne,attheseatofthelattergentlemannearPenstruthal,inWales。Mr。Henson,accompaniedbyhisfriendMr。