第78章
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  Dangersofanotherkindmightmorereasonablybeapprehendedfromthisperfectanddistinctorganization,civilandmilitary,oftheStates;towit,thatcertainStatesfromlocalandoccasionaldiscontents,mightattempttosecedefromtheUnion。Thisiscertainlypossible;andwouldbebefriendedbythisregularorganization。Butitisnotprobablethatlocaldiscontentscanspreadtosuchanextent,astobeabletofacethesoundpartsofsoextensiveanUnion;andifevertheyshouldreachthemajority,theywouldthenbecometheregulargovernment,acquiretheascendencyinCongress,andbeabletoredresstheirowngrievancesbylawspeaceablyandconstitutionallypassed。AndeventheStatesinwhichlocaldiscontentsmightengenderacommencementoffermentation,wouldbeparalyzedandself-checkedbythatverydivisionintopartiesintowhichwehavefallen,intowhichallStatesmustfallwhereinmenareatlibertytothink,speak,andactfreely,accordingtothediversitiesoftheirindividualconformations,andwhichare,perhaps,essentialtopreservethepurityofthegovernment,bythecensorshipwhichthesepartieshabituallyexerciseovereachother。

  Youwillread,Iamsure,withindulgence,theexplanationsofthegroundsonwhichIhaveventuredtoformanopiniondifferingfromyours。Theyprovemyrespectforyourjudgment,anddiffidenceinmyown,whichhaveforbiddenmetoretain,withoutexamination,anopinionquestionedbyyou。Permitmenowtorendermyportionofthegeneraldebtofgratitude,byacknowledgementsinadvanceforthesingularbenefactionwhichisthesubjectofthisletter,totendermywishesforthecontinuanceofalifesousefullyemployed,andtoaddtheassurancesofmyperfectesteemandrespect。

  THELATINAMERICANREVOLUTION

  _ToAlexandervonHumboldt_

  _Monticello,April14,1811_

  MYDEARBARON,——TheinterruptionofourintercoursewithFranceforsometimepast,haspreventedmywritingtoyou。A

  conveyancenowoccurs,byMr。BarloworMr。Warden,bothofthemgoinginapubliccapacity。ItisthefirstsafeopportunityofferedofacknowledgingyourfavorofSeptember23d,andthereceiptatdifferenttimesoftheIIIdpartofyourvaluablework,2d,3d,4thand5thlivraisons,andtheIVthpart,2d,3d,and4thlivraisons,withthe_Tableauxdelanature_,andaninterestingmapofNewSpain。Forthesemagnificentandmuchesteemedfavors,acceptmysincerethanks。TheygiveusaknowledgeofthatcountrymoreaccuratethanIbelievewepossessofEurope,theseatofthescienceofathousandyears。Itcomesout,too,atamomentwhenthosecountriesarebeginningtobeinterestingtothewholeworld。Theyarenowbecomingthescenesofpoliticalrevolution,totaketheirstationsasintegralmembersofthegreatfamilyofnations。Allarenowininsurrection。Inseveral,theIndependentsarealreadytriumphant,andtheywillundoubtedlybesoinall。Whatkindofgovernmentwilltheyestablish?Howmuchlibertycantheybearwithoutintoxication?Aretheirchiefssufficientlyenlightenedtoformawell-guardedgovernment,andtheirpeopletowatchtheirchiefs?HavetheymindenoughtoplacetheirdomesticatedIndiansonafootingwiththewhites?Allthesequestionsyoucananswerbetterthananyother。Iimaginetheywillcopyouroutlinesofconfederationandelectivegovernment,abolishdistinctionofranks,bowthenecktotheirpriests,andpersevereinintolerantism。Theirgreatestdifficultywillbeintheconstructionoftheirexecutive。

  Isuspectthat,regardlessoftheexperimentofFrance,andofthatoftheUnitedStatesin1784,theywillbeginwithadirectory,andwhentheunavoidableschismsinthatkindofexecutiveshalldrivethemtosomethingelse,theirgreatquestionwillcomeonwhethertosubstituteanexecutiveelectiveforyears,forlife,oranhereditaryone。Butunlessinstructioncanbespreadamongthemmorerapidlythanexperiencepromises,despotismmaycomeuponthembeforetheyarequalifiedtosavethegroundtheywillhavegained。CouldNapoleonobtain,atthecloseofthepresentwar,theindependenceofalltheWestIndiaislands,andtheirestablishmentinaseparateconfederacy,ourquarteroftheglobewouldexhibitanenrapturingprospectintofuturity。Youwilllivetoseemuchofthis。Ishallfollow,however,cheerfullymyfellowlaborers,contentedwithhavingborneapartinbeginningthisbeatificreformation。

  Ifear,fromsomeexpressionsinyourletter,thatyourpersonalinterestshavenotbeendulyprotected,whileyouweredevotingyourtime,talentsandlaborfortheinformationofmankind。

  Ishouldsincerelyregretitforthehonorofthegoverningpowers,aswellasfromaffectionateattachmenttoyourselfandthesincerestwishesforyourfelicity,fortunesandfame。

  InsendingyouacopyofmyNotesonVirginia,Idobutobeythedesireyouhaveexpressed。TheymustappearchetifenoughtotheauthorofthegreatworkonSouthAmerica。Butfromthewidowhermitewaswelcome,andyouwilladdtothisindulgencetheacceptanceofmysincereassurancesofconstantfriendshipandrespect。”AYOUNGGARDENER”

  _ToCharlesWillsonPeale_

  _PoplarForest,August20,1811_

  Itislong,mydearSir,sincewehaveexchangedaletter。Ourformercorrespondencehadalwayssomelittlematterofbusinessinterspersed;butthisbeingatanend,Ishallstillbeanxioustohearfromyousometimes,andtoknowthatyouarewellandhappy。I

  knowindeedthatyoursystemisthatofcontentmentunderanysituation。Ihaveheardthatyouhaveretiredfromthecitytoafarm,andthatyougiveyourwholetimetothat。Doesnotthemuseumsuffer?Andisthefarmasinteresting?Here,asyouknow,weareallfarmers,butnotinapleasingstyle。Wehavesolittlelaborinproportiontoourlandthat,althoughperhapswemakemoreprofitfromthesamelabor,wecannotgivetoourgroundsthatstyleofbeautywhichsatisfiestheeyeoftheamateur。Ourrotationsarecorn,wheat,andclover,orcorn,wheat,cloverandclover,orwheat,corn,wheat,cloverandclover;precedingthecloverbyaplastering。

  Butsome,insteadofcloversubstitutemererest,andallareslovenlyenough。WeareaddingthecareofMerinosheep。Ihaveoftenthoughtthatifheavenhadgivenmechoiceofmypositionandcalling,itshouldhavebeenonarichspotofearth,wellwatered,andnearagoodmarketfortheproductionsofthegarden。Nooccupationissodelightfultomeasthecultureoftheearth,andnoculturecomparabletothatofthegarden。Suchavarietyofsubjects,someonealwayscomingtoperfection,thefailureofonethingrepairedbythesuccessofanother,andinsteadofoneharvestacontinuedonethroughtheyear。Underatotalwantofdemandexceptforourfamilytable,Iamstilldevotedtothegarden。Butthoughanoldman,Iambutayounggardener。

  YourapplicationtowhateveryouareengagedinIknowtobeincessant。ButSundaysandrainydaysarealwaysdaysofwritingforthefarmer。Thinkofmesometimeswhenyouhaveyourpeninhand,andgivemeinformationofyourhealthandoccupations;andbealwaysassuredofmygreatesteemandrespect。

  REPRISE:WEIGHTS,MEASURES,ANDCOINS

  _ToDr。RobertPatterson_

  _Monticello,November10,1811_

  DEARSIR,——YourfavorofSeptember23dcametohandinduetime,andIthankyouforthenauticalalmanacitcoveredfortheyear1813。IlearnwithpleasurethatthePhilosophicalSocietyhasconcludedtotakeintoconsiderationthesubjectofafixedstandardofmeasures,weightsandcoins,andyouaskmyideasonit;insulatedasmysituationis,IamsureIcanoffernothingbutwhatwilloccurtothecommitteeengagedonit,withtheadvantageontheirpartofcorrectionbyaninterchangeofsentimentsandobservationsamongthemselves。Iwill,however,hazardsomegeneralideasbecauseyoudesireit,andifasingleonebeuseful,thelaborwillnotbelost。

  Thesubjecttobereferredtoasastandard,whetheritbematterormotion,shouldbefixedbynature,invariableandaccessibletoallnations,independentlyofothers,andwithaconveniencenotdisproportionedtoitsutility。Whatsubjectinnaturefulfilsbesttheseconditions?Whatsystemshallweproposeonthis,embracingmeasures,weightsandcoins?andinwhatformshallwepresentittotheworld?Thesearethequestionsbeforethecommittee。

  Someothersubjectshave,atdifferenttimes,beenproposedasstandards,buttwoonlyhavedividedtheopinionsofmen:first,adirectadmeasurementofalineontheearth’ssurface,orsecond,ameasurederivedfromitsmotiononitsaxis。Tomeasuredirectlysuchaportionoftheearthaswouldfurnishanelementofmeasure,whichmightbefoundagainwithcertaintyinallfuturetimes,wouldbetoofarbeyondthecompetenceofourmeanstobetakenintoconsideration。Iamfree,atthesametime,tosaythatifthesewerewithinourpowerinthemostampledegree,thiselementwouldnotmeetmypreference。Theadmeasurementwouldofcoursebeofaportionofsomegreatcircleoftheearth。Ifoftheequator,thecountriesoverwhichthatpasses,theircharacterandremoteness,rendertheundertakingarduous,andwemaysayimpracticableformostnations。Ifofsomemeridian,thevaryingmeasuresofitsdegreesfromtheequatortothepole,requireameantobesought,ofwhichsomealiquotpartmayfurnishwhatisdesired。Forthispurposethe45thdegreehasbeenrecurredto,andsuchalengthoflineonbothsidesofitterminatingateachendintheocean,asmayfurnishasatisfactorylawforadeductionoftheunmeasuredpartofthequadrant。TheportionresortedtobytheFrenchphilosophers,andthereisnootherontheglobeundercircumstancesequallysatisfactory,isthemeridianpassingthroughtheircountryandaportionofSpain,fromDunkirktoBarcelona。Theobjectionstosuchanadmeasurementasanelementofmeasure,arethelabor,thetime,thenumberofhighly-qualifiedagents,andthegreatexpenserequired。Allthis,too,istoberepeatedwheneveranyaccidentshallhavedestroyedthestandardderivedfromit,orimpaireditsdimensions。Thisportionofthatparticularmeridianisaccessibleofrighttonoonenationonearth。France,indeed,availingherselfofamomentofpeculiarrelationbetweenSpainandherself,hasexecutedsuchanadmeasurement。Buthowwoulditbeatthismoment,astoeitherFranceorSpain?andhowisitatalltimesastoothernations,inpointeitherofrightorofpractice?Mustthesegothroughthesameoperation,ortaketheirmeasuresfromthestandardpreparedbyFrance?Neithercasebearsthatcharacterofindependencewhichtheproblemrequires,andwhichneithertheequalitynorconvenienceofnationscandispensewith。Howwoulditnowbe,wereEnglandthedepositofastandardfortheworld?Atwarwithalltheworld,thestandardwouldbeinaccessibletoallothernations。Againstthis,too,aretheinaccuraciesofadmeasurementsoverhillsandvalleys,mountainsandwaters,inaccuraciesoftenunobservedbytheagenthimself,andalwaysunknowntotheworld。

  Thevariousresultsofthedifferentmeasuresheretoforeattempted,sufficientlyprovetheinadequacyofhumanmeanstomakesuchanadmeasurementwiththeexactnessrequisite。

  Letusnowseeunderwhatcircumstancesthependulumoffersitselfasanelementofmeasure。Themotionoftheearthonitsaxisfromnoontonoonofameansolarday,hasbeendividedfromtimeimmemorial,andbyverygeneralconsent,into86,400portionsoftimecalledseconds。Thelengthofapendulumvibratinginoneoftheseportions,isdeterminedbythelawsofnature,isinvariableunderthesameparallel,andaccessibleindependentlytoallmen。Likeadegreeofthemeridian,indeed,itvariesinitslengthfromtheequatortothepole,andlikeit,too,requirestobereducedtoamean。Inseekingameaninthefirstcase,the45thdegreeoccurswithunrivalledpreferences。Itisthemid-wayofthecelestialarkfromtheequatortothepole。Itisameanbetweenthetwoextremedegreesoftheterrestrialark,orbetweenanytwoequi-distantfromit,anditisalsoameanvalueofallitsdegrees。Inlikemanner,whenseekingameanforthependulum,thesame45thdegreeoffersitselfonthesamegrounds,itsincrementsbeinggovernedbythesamelawswhichdeterminethoseofthedifferentdegreesofthemeridian。

  InapendulumloadedwithaBob,somedifficultyoccursinfindingthecentreofoscillation;andconsequentlythedistancebetweenthatandthepointofsuspension。Tolessenthis,ithasbeenproposedtosubstituteforthependulum,acylindricalrodofsmalldiameter,inwhichthedisplacementofthecentreofoscillationwouldbelessened。IthasalsobeenproposedtoprolongthesuspendingwireofthependulumbelowtheBob,untiltheircentresofoscillationshallcoincide。Butthesepropositionsnotappearingtohavereceivedgeneralapprobation,werecurtothependulum,suspendedandchargedashasbeenusual。Andtheratherasthethelawswhichdeterminethecentreofoscillationleavenoroomforerrorinfindingit,otherthanthatminimuminpracticetowhichalloperationsaresubjectintheirexecution。Theothersourcesofinaccuracyinthelengthofthependulumneednotbementioned,becauseeasilyguardedagainst。Butthegreatanddecisivesuperiorityofthependulum,asastandardofmeasure,isinitsaccessibilitytoallmen,atalltimesandinallplaces。Toobtainthesecondpendulumfor45degreesitisnotnecessarytogoactuallytothatlatitude。Havingascertaineditslengthinourownparallel,boththeoryandobservationgiveusalawforascertainingthedifferencebetweenthatandthependulumofanyother。Tomakeanewmeasuretherefore,orverifyanoldone,nothingisnecessaryinanyplacebutawell-regulatedtime-piece,oragoodmeridian,andsuchaknowledgeofthesubjectasiscommoninallcivilizednations。

  Thoseindeedwhohavepreferredtheotherelement,dojusticetothecertainty,aswellassuperiorfacilitiesofthependulum,byproposingtorecurtooneofthelengthoftheirstandard,andtoascertainitsnumberofvibrationsinaday。Thesebeingonceknown,ifanyaccidentimpairtheirstandarditistoberecovedbymeansofapendulumwhichshallmaketherequisitenumberofvibrationsinaday。AndamongtheseveralcommissionsestablishedbytheAcademyofSciencesfortheexecutionoftheseveralbranchesoftheirworkonmeasuresandweights,thatrespectingthependulumwasassignedtoMessrs。Borda,Coulomb&Cassini,theresultofwhoselabors,however,Ihavenotlearned。

  Letourunitofmeasuresthenbeapendulumofsuchlengthasinthelatitudeof45degrees,intheleveloftheocean,andinagiventemperature,shallperformitsvibrations,insmallandequalarcs,inonesecondofmeantime。

  Whatratioshallweadoptforthepartsandmultiplesofthisunit?Thedecimalwithoutadoubt。Ourarithmaticbeingfoundedinadecimalnumeration,thesamenumerationinasystemofmeasures,weightsandcoins,talliesatoncewiththat。Onthisquestion,I

  believe,therehasbeennodifferenceofopinion。

  Inmeasuresoflength,then,thependulumisourunit。Itisalittlemorethanouryardandlessthantheell。Itstenthordime,willnotbequite。4inches。Itshundredth,orcent,notquite。4ofaninch;itsthousandth,ormill,notquite。04ofaninch,andsoon。Thetravellerwillcounthisroadbyalongermeasure。1,000

  units,orakiliad,willnotbequitetwo-thirdsofourpresentmile,andmorenearlyathousandpacesthanthat。

  Formeasuresofsurface,thesquareunit,equaltoabouttensquarefeet,orone-ninthmorethanasquareyard,willbegenerallyconvenient。Butforthoseoflandsalargermeasurewillbewanted。

  Akiliadwouldbenotquitearood,orquarterofanacre;amyriadnotquite21/2acres。

  Formeasuresofcapacity,wetanddry,ThecubicUnit=。1wouldbeabout。35cubicfeet,。28bushelsdry,or7/8ofatonliquid。

  Dime=。1wouldbeabout3。5cubicfeet,2。8bushels,orabout7/8ofabarrelliquid。

  Cent=。01about50cubicinches,or7/8ofaquart。

  Mill=。001=。5ofacubicinch,or2/3ofagill。

  Toincorporateintothesamesystemourweightsandcoins,wemustrecurtosomenaturalsubstance,tobefoundeverywhere,andofacompositionsufficientlyuniform。Waterhasbeenconsideredasthemosteligiblesubstance,andrain-watermorenearlyuniformthananyotherkindfoundinnature。Thatcircumstancerendersitpreferabletodistilledwater,anditsvariationsinweightmaybecalledinsensible。

  Thecubicunitofthis=。1wouldweighabout2,165lbs。oratonbetweenthelongandshort。

  TheDime=。1alittlemorethan2。kentals。

  Cent=。01alittlemorethan20lb。

  Mill=。001alittlemorethan2lb。

  Decimmil=。0001about31/2oz。avoirdupoise。

  Centimmil=。00001alittlemorethan6dwt。

  Millionth=。000001about15grains。

  Decimmillionth=。0000001about11/2grains。

  Centimmillionth=。00000001about。14ofagrain。

  Billionth=。000000001about。014ofagrain。

  Withrespecttoourcoins,thepuresilverinadollarbeingfixedbylawat3471/4grains,andalldebtsandcontractsbeingbottomedonthatvalue,wecanonlystatethepuresilverinthedollar,whichwouldbeverynearly23millionths。

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