Ihaveusedlooseandroundnumberstheexactunitbeingyetundeterminedmerelytogiveageneralideaofthemeasuresandweightsproposed,whencomparedwiththosewenowuse。AndinthenamesofthesubdivisionsIhavefollowedthemetrologyoftheordinanceofCongressof1786,whichfortheirseriesbelowunitadoptedtheRomannumerals。ForthataboveunittheGrecianisconvenient,andhasbeenadoptedinthenewFrenchsystem。
Wecomenowtoourlastquestion,inwhatformshallweofferthismetricalsystemtotheworld?Insomeonewhichshallbealtogetherunassuming;whichshallnothavetheappearanceoftakingtheleadamongoursisterinstitutionsinmakingageneralproposition。Sojealousisthespiritofequalityintherepublicofletters,thatthesmallestexcitementofthatwouldmarourviews,howeversalutaryforall。Weareinhabitsofcorrespondencewithsomeoftheseinstitutions,andidentityofcharacterandofobject,authorizeourenteringintocorrespondencewithall。Letusthenmatureoursystemasfarascanbedoneatpresent,byascertainingthelengthofthesecondpendulumof45degreesbyformingtwotables,oneofwhichshallgivetheequivalentofeverydifferentdenominationofmeasures,weightsandcoinsintheseStates,intheunitofthatpendulum,itsdecimalsandmultiples;andtheotherstatingtheequivalentofallthedecimalpartsandmultiplesofthatpendulum,intheseveraldenominationsofmeasures,weightsandcoinsofourexistingsystem。Thisdone,wemightcommunicatetooneormoreoftheseinstitutionsineverycivilizedcountryacopyofthosetables,statingasourmotive,thedifficultywehadexperienced,andoftentheimpossibilityofascertainingthevalueofthemeasures,weightsandcoinsofothercountries,expressedinanystandardwhichwepossess;thatdesirousofbeingrelievedfromthis,andofobtaininginformationwhichcouldbereliedonforthepurposesofscience,aswellasofbusiness,wehadconcludedtoaskitfromthelearnedsocietiesofothernations,whoareespeciallyqualifiedtogiveitwiththerequisiteaccuracy;thatinmakingthisrequestwehadthoughtitourdutyfirsttodoourselves,andtooffertoothers,whatwemeanttoaskfromthem,bystatingthevalueofourownmeasures,weightsandcoins,insomeunitofmeasurealreadypossessed,oreasilyobtainable,byallnations;thatthependulumvibratingsecondsofmeantime,presentsitselfassuchanunit;itslengthbeingdeterminedbythelawsofnature,andeasilyascertainableatalltimesandplaces;thatwehavethoughtthatof45degreeswouldbethemostunexceptionable,asbeingameanofallotherparallels,andopentoactualtrialinbothhemispheres。Inthis,therefore,asanunit,andinitspartsandmultiplesinthedecimalratio,wehaveexpressed,inthetablescommunicated,thevalueofallthemeasures,weightsandcoinsusedintheUnitedStates,andweaskinreturnfromtheirbodyatableoftheweights,measuresandcoinsinusewithintheircountry,expressedinthepartsandmultiplesofthesameunit。Havingrequestedthesamefavorfromthelearnedsocietiesofothernations,ourobjectis,withtheirassistance,toplacewithinthereachofourfellowcitizensatlargeaperfectknowledgeofthemeasures,weightsandcoinsofthecountrieswithwhichtheyhavecommercialorfriendlyintercourse;andshouldthesocietiesofothercountriesinterchangetheirrespectivetables,thelearnedwillbeinpossessionofanuniformlanguageinmeasures,weightsandcoins,whichmaywithtimebecomeusefultootherdescriptionsoftheircitizens,andeventotheirgovernments。This,however,willrestwiththeirpleasure,notpresuming,inthepresentproposition,toextendourviewsbeyondthelimitsofourownnation。IofferthissketchmerelyastheoutlineofthekindofcommunicationwhichIshouldhopewouldexcitenojealousyorrepugnance。
Peculiarcircumstances,however,wouldrequirelettersofamorespecialcharactertotheInstituteofFrance,andtheRoyalSocietyofEngland。ThemagnificentworkwhichFrancehasexecutedintheadmeasurementofsolargeaportionofthemeridian,hasaclaimtogreatrespectinourreferencetoit。Weshouldonlyaskacommunicationoftheirmetricalsystem,expressedinequivalentvaluesofthesecondpendulumof45degreesasascertainedbyMessrs。
Borda,CoulombandCassini,adding,perhaps,therequestofanactualrodofthelengthofthatpendulum。
WithEngland,ourexplanationswillbemuchmoredelicate。
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