whatrousesmyenthusiasmistheprocessthatsetsthetruthbeforeus。Westartfromabrilliantlylightedspotandgraduallygetdeeperanddeeperinthedarkness,which,initsturn,becomesself—illuminatedbykindlingnewlightsforahigherascent。Thisprogressivemarchoftheknowntowardtheunknown,thisconscientiouslanternlightingwhatfollowsbytheraysofwhatcomesbefore:thatwasmyrealbusiness。
Geometrywastoteachmethelogicalprogressionofthought;itwastotellmehowthedifficultiesarebrokenupintosectionswhich,elucidatedconsecutively,togetherformalevercapableofmovingtheblockthatresistsanydirectefforts;lastly,itshowedmehoworderisengendered,order,thebaseofclarity。Ifithaseverfallentomylottowriteapageortwowhichthereaderhasrunoverwithoutexcessivefatigue,Ioweit,ingreatpart,togeometry,thatwonderfulteacheroftheartofdirectingone’sthought。True,itdoesnotbestowimagination,adelicateflowerblossomingnoneknowshowandunabletothriveoneverysoil;butitarrangeswhatisconfused,thinsoutthedense,calmsthetumultuous,filtersthemuddyandgiveslucidity,asuperiorproducttoallthetropesofrhetoric。
Yes,asatoilerwiththepen,Iowemuchtoit。Whereforemythoughtsreadilyturnbacktothosebrighthoursofmynovitiate,when,retiringtoacornerofthegardeninrecreationtime,withabitofpaperonmykneesandastumpofpencilinmyfingers,I
usedtopracticededucingthisorthatpropertycorrectlyfromanassemblageofstraightlines。Theothersamusedthemselvesallaroundme;Ifoundmydelightinthefrustumofapyramid。PerhapsIshouldhavedonebettertostrengthenthemusclesofmythighsbyjumpingandleaping,toincreasethesupplenessofmyloinswithgymnasticcontortions。Ihaveknownsomecontortionistswhohaveprosperedbeyondthethinker。
Seemethenenteringthelistsasaninstructorofyouth,fairlywellacquaintedwiththeelementsofgeometry。Incaseofneed,I
couldhandlethelandsurveyor’sstakeandchain。Theremyviewsended。Tocubethetrunkofatree,togaugeacask,tomeasurethedistanceofaninaccessiblepointappearedtomethehighestpitchtowhichgeometricalknowledgecouldhopetosoar。Werethereloftierflights?Ididnotevensuspectit,whenanunexpectedglimpseshowedmethepunydimensionsofthelittlecornerwhichIhadclearedinthemeasurelessdomain。
Atthattime,thecollegeinwhich,twoyearsbefore,Ihadmademyfirstappearanceasateacher,hadjusthalvedthesizeofitsclassesandlargelyincreaseditsstaff。Thenewcomersalllivedinthebuilding,likemyself,andwehadourmealsincommonattheprincipal’stable。Weformedahivewhere,inourleisuretime,someofus,inourrespectivecells,workedupthehoneyofalgebraandgeometry,historyandphysics,GreekandLatinmostofall,sometimeswithaviewtotheclassabove,sometimesandoftenerwithaviewtoacquiringadegree。Theuniversitytitleslackedvariety。Allmycolleagueswerebachelorsofletters,butnothingmore。Theymust,ifpossible,armthemselvesalittlebettertomaketheirwayintheworld。Weallworkedhardandsteadily。I
wastheyoungestoftheindustriouscommunityandnolesseagerthantheresttoincreasemymodestequipment。
Visitsbetweenthedifferentroomswerefrequent。Wewouldcometoconsultoneanotheraboutadifficulty,orsimplytopassthetimeofday。Ihadasaneighbor,inthenextcelltomine,aretiredquartermasterwho,wearyofbarracklife,hadtakenrefugeineducation。Wheninchargeofthebooksofhiscompanyhehadbecomemoreorlessfamiliarwithfigures;anditbecamehisambitiontotakeamathematicaldegree。Hiscerebrumappearstohavehardenedwhilehewaswithhisregiment。Accordingtomydearcolleagues,thoseamiableretailersofthemisfortunesofothers,hehadalreadytwicebeenplucked。Stubbornly,hereturnedtohisbooksandexercises,refusingtobedauntedbytworeverses。
Itwasnotthathewasalluredbythebeautiesofmathematics,farfromit;butthesteptowhichheaspiredfavoredhisplans。Hehopedtohavehisownboardersanddispensebutterandvegetablestolucrativepurpose。Theloverofstudyforitsownsakeandthepersistenttrapperhuntingadiplomaashewouldsomethingtoputinhismouthwerenotmadetounderstandortoseemuchofeachother。Chance,however,broughtustogether。
Ihadoftensurprisedourfriendsittingintheevening,bythelightofacandle,withhiselbowsonthetableandhisheadbetweenhishands,meditatingatgreatlengthinfrontofabigexercisebookcrammedwithcabalisticsigns。Fromtimetotime,whenanideacametohim,hewouldtakehispenandhastilyputdownalineofwritingwhereinletters,largeandsmall,weregroupedwithoutanygrammaticalsense。Thelettersxandyoftenrecurred,intermingledwithfigures。Everyrowendedwiththesignofequalityandanought。Nextcamemorereflection,withclosedeyes,andafreshrowoflettersarrangedinadifferentorderandlikewisefollowedbyanought。Pageafterpagewasfilledinthisqueerfashion,eachlinewindingupwith0。
’Whatareyoudoingwithallthoserowsoffiguresamountingtozero?’Iaskedhimoneday。
Themathematiciangavemealeerylook,pickedupinbarracks。A
sarcasticdroopinthecornerofhiseyeshowedhowhepitiedmyignorance。Mycolleagueofthemanynoughtsdidnot,however,takeanunfairadvantageofhissuperiority。Hetoldmethathewasworkingatanalyticalgeometry。
Thephrasehadastrangeeffectuponme。Iruminatedsilentlytothispurpose:therewasahighergeometry,whichyoulearntmoreparticularlywithcombinationsoflettersinwhichxandyplayedaprominentpart。Whenmynext—doorneighborreflectedsolong,clutchinghisforeheadbetweenhishands,hewastryingtodiscoverthehiddenmeaningofhisownhieroglyphics;hesawtheghostlytranslationofhissumsdancinginspace。Whatdidheperceive?
Howwouldthealphabeticalsigns,arrangedfirstinoneandtheninanothermanner,giveanimageoftheactualthings,animagevisibletotheeyesofthemindalone?Itbeatme。
’Ishallhavetolearnanalyticalgeometrysomeday,’Isaid。
’Willyouhelpme?’
’I’mquitewilling,’hereplied,withasmileinwhichIreadhislackofconfidenceinmydetermination。
Nomatter;westruckabargainthatsameevening。Wewouldtogetherbreakupthestubbleofalgebraandanalyticalgeometry,thefoundationofthemathematicaldegree;wewouldmakecommonstock:hewouldbringlonghoursofcalculation,Imyyouthfulardor。WewouldbeginassoonasIhadfinishedwithmyartsdegree,whichwasmymainpreoccupationforthemoment。
Inthosefaroffdaysitwastheruletomakealittleseriousliterarystudytakeprecedenceofscience。Youwereexpectedtobefamiliarwiththegreatmindsofantiquity,toconversewithHoraceandVirgil,TheocritusandPlato,beforetouchingthepoisonsofchemistryortheleversofmechanics。Thenicetiesofthoughtcouldonlybethegainersbythesepreparations。Life’sexigencies,everharsherasprogressafflictsuswithitsincreasingneeds,havechangedallthat。Afigforcorrectlanguage!Businessbeforeall!
Thismodernhurrywouldhavesuitedmyimpatience。IconfessthatIfumedagainsttheregulationwhichforcedLatinandGreekuponmebeforeallowingmetoopenuprelationswiththesineandcosine。
Today,wiser,ripenedbyageandexperience,Iamofadifferentopinion。Iverymuchregretthatmymodestliterarystudieswerenotmorecarefullyconductedandfurtherprolonged。Tofillupthisenormousblankalittle,Irespectfullyreturned,somewhatlateinlife,tothosegoodoldbookswhichareusuallysoldsecond—handwiththeirleaveshardlycut。Venerablepages,annotatedinpencilduringthelongeveningsofmyyouth,Ihavefoundyouagainandyouaremorethanevermyfriends。Youhavetaughtmethatanobligationrestsuponwhoeverwieldsthepen:hemusthavesomethingtosaythatiscapableofinterestingus。Whenthesubjectcomeswithinthescopeofnaturalscience,theinterestisnearlyalwaysassured;thedifficulty,thegreatdifficulty,istopruneitofitsthornsandtopresentitunderaprepossessingaspect。Truth,theysay,risesnakedfromawell。Agreed;butadmitthatsheisallthebetterforbeingdecentlyclothed。Shecraves,ifnotthegaudyfurbelowsborrowedfromrhetoric’swardrobe,atleastavineleaf。Thegeometersalonehavetherighttorefuseherthatmodestgarment;intheorems,plainnesssuffices。
Theothers,especiallythenaturalist,areindutyboundtodrapeagauzetunicmoreorlesselegantlyaroundherwaist。
SupposeIsay:’Baptiste,givememyslippers。’
Iamexpressingmyselfinplainlanguage,alittlepoorinvariants。IknowexactlywhatIamsayingandmyspeechisunderstood。
Others——andtheyarenumerous——contendthatthisrudimentarymethodisthebestinallthings。TheytalksciencetotheirreadersastheymighttalkslipperstoBaptiste。Kaffirsyntaxdoesnotshockthem。Donotspeaktothemofthevalueofawellselectedterm,setdowninitsrightplace,stilllessofaliltingconstruction,soundingratherwell。Childishnonsensetheycallallthat;thefiddlingofashortsightedmind!
Perhapstheyareright:theBaptisteidiomisagreateconomizeroftimeandtrouble。Thisadvantagedoesnottemptme;itseemstomethatanideastandsoutbetterifexpressedinlucidlanguage,withsoberimagery。Asuitablephrase,placedinitscorrectpositionandsayingwithoutfussthethingswewanttosay,necessitatesachoice,anoftenlaboriouschoice。Therearedrabwords,thecommonplacesofcolloquialspeech;andthereare,sotospeak,coloredwords,whichmaybecomparedwiththebrushstrokesstrewingpatchesoflightoverthegraybackgroundofapainting。Howarewetofindthosepicturesquewords,thosestrikingfeatureswhicharresttheattention?Howarewetogroupthemintoalanguageheedfulofsyntaxandnotdispleasingtotheear?
Iwastaughtnothingofthisart。Forthatmatter,isitevertaughtintheschools?Igreatlydoubtit。Ifthefirethatrunsthroughourveins,ifinspirationdonotcometoouraid,weshallflutterthepagesofthethesaurusinvain:thewordforwhichweseekwillrefusetocome。Thentowhatmastersshallwehaverecoursetoquickenanddevelopthehumblegermthatislatentwithinus?Tobooks。
Asaboy,Iwasalwaysanardentreader;butthenicetiesofawell—balancedstylehardlyinterestedme:Ididnotunderstandthem。Agooddeallater,whencloseuponfifteen,Ibeganvaguelytoseethatwordshaveaphysiognomyoftheirown。Somepleasedmebetterthanothersbythedistinctnessoftheirmeaningandtheresonanceoftheirrhythm;theyproducedaclearerimageinmymind;aftertheirfashion,theygavemeapictureoftheobjectdescribed。Coloredbyitsadjectiveandvivifiedbyitsverb,thenamebecamealivingreality:whatitsaidIsaw。Andthus,gradually,wasthemagicofwordsrevealedtome,whenthechancesof,myundirectedreadingplacedafeweasystandardpagesinmyway。
CHAPTERXIIIMATHEMATICALMEMORIES:MYLITTLETABLE
Itistimetostartouranalyticalgeometry。Hecancomenow,mypartner,themathematician:IthinkIshallunderstandwhathesays。Ihavealreadyrunthroughmybookandnoticedthatoursubject,whosebeautifulprecisionmakesworkarecreation,bristleswithnoveryseriousdifficulties。
Webegininmyroom,infrontofablackboard。Afterafewevenings,prolongedintothepeacefulwatchesofthenight,I
becomeaware,tomygreatsurprise,thatmyteacher,thepastmasterinthosehieroglyphics,isreally,moreoftenthannot,mypupil。Hedoesnotseethecombinationsoftheabscissasandordinatesveryclearly。Imakeboldtotakethechalkinhandmyself,toseizetherudderofouralgebraicalboat。Icommentonthebook,interpretitinmyownfashion,expoundthetext,soundthereefsuntildaylightcomesandleadsustothehavenofthesolution。Besides,thelogicissoirresistible,itisallsucheasygoingandsolucidthatoftenoneseemstoberememberingratherthanlearning。
Andsoweproceed,withourpositionsreversed。Idigintothehardrock,crumbleit,loosenituntilImakeroomforthoughttopenetrate。Mycomrade——Icannowallowmyselftospeakofhimonequalterms——mycomradelistens,suggestsobjections,raisesdifficultieswhichwetrytosolveinunison。Thetwocombinedlevers,insertedinthefissure,endbyshakingandoverturningtherockymass。
Inolongerseeinthecornerofthequartermaster’seyetheleerydroopthatgreetedmeatthestart。Cordialfranknessnowreigns,theinfectioushighspiritsimpartedbysuccess。Littlebylittle,dawnbreaks,verymistyasyet,butladenwithpromises。Wearebothgreatlyamazed;andmyshareinthesatisfactionisadoubleone,forheseestwiceoverwhomakesotherssee。Thusdowepasshalfthenight,indelightfulhours。Weceasewhensleepbeginstoweightooheavilyonoureyelids。
Whenmycomradereturnstohisroom,doeshesleep,carelessforthemomentoftheshiftingscenewhichwehaveconjuredup?Heconfessestomethathesleepssoundly。ThisadvantageIdonotpossess。ItisnotinmypowertopassthespongeovermypoorbrainevenasIpassitovertheblackboard。Thenetworkofideasremainsandformsasitwereamovingcobwebinwhichreposewrigglesandtosses,incapableoffindingastableequilibrium。
Whensleepdoescomeatlast,itisoftenbutastateofsomnolencewhich,farfromsuspendingtheactivityofthemind,actuallymaintainsandquickensitmorethanwakingwould。Duringthistorpor,inwhichnighthasnotyetcloseduponthebrain,I
sometimessolvemathematicaldifficultieswithwhichIstruggledunsuccessfullythedaybefore。Abrilliantbeacon,ofwhichIamhardlyconscious,flaresinmybrain。ThenIjumpoutofbed,lightmylampagainandhastentojotdownmysolutions,therecollectionofwhichIshouldhavelostonawakening。Likelightningflashes,thosegleamsvanishassuddenlyastheyappear。
Whencedotheycome?ProbablyfromahabitwhichIacquiredveryearlyinlife:tohavefoodalwaysthereformymind,topourtheneverfailingoilconstantlyintothelampofthought。Wouldyousucceedinthethingsofthemind?Theinfalliblemethodistobealwaysthinkingofthem。ThismethodIpracticedmoresedulouslythanmycomrade;andhence,nodoubt,arosetheinterchangeofpositions,thediscipleturnedintothemaster。Itwasnot,however,anoverwhelminginfatuation,apainfulobsession;itwasratherarecreation,almostapoeticfeast。Asourgreatlyricwriterputitintheprefacetohisvolume,LesRayonsetlesombres:’Mathematicsplaytheirpartinartaswellasinscience。
Thereisalgebrainastronomy:astronomyisakintopoetry;thereisalgebrainmusic:musicisakintopoetry。’
Isthispoeticexaggeration?Surelynot:VictorHugospoketruly。
Algebra,thepoemoforder,hasmagnificentflights。Ilookuponitsformulae,itsstrophesassuperb,withoutfeelingatallastonishedwhenothersdonotagree。Mycolleague’ssatiricallookcamebackwhenIwasimprudentenoughtoconfidemyextrageometricalrapturestohisears:’Nonsense,’saidhe,’purestuffandnonsense!Let’sgetonwithourtangents。’
Thequartermasterwasright:thestrictseverityofourapproachingexaminationallowedofnosuchdreamer’soutbursts。WasI,onmyside,verywrong?Towarmchillcalculationbythefireoftheideal,toliftone’sthoughtabovemereformulae,tobrightenthecavernsoftheabstractwithasparkoflife:wasthisnottoeasetheeffortofpenetratingtheunknown?Wheremycomradeploddedon,scorningmyviaticum,Iperformedajourneyofpleasure。IfI
hadtoleanontherudestaffofalgebra,Ihadformyguidethatvoicewithinme,urgingmetoloftyflights。Studybecameajoy。
Itbecamestillmoreinterestingwhen,aftertheangularitiesofacombinationofstraightlines,Ilearnttoportraythegracesofacurve。Howmanypropertieswerethereofwhichthecompassknewnothing,howmanycunninglawslaycontainedinembryowithinanequation,themysteriousnutwhichmustbeartisticallycrackedtoextracttherichkernel,thetheorem!Takethisorthatterm,placethesignbeforeitandforthwithyouhavetheellipse,thetrajectoryoftheplanets,withitstwofriendlyfoci,transmittingpairsofvectorswhosesumisconstant;substitutethe——signandyouhavethehyperbolawiththeantagonisticfoci,thedesperatecurvethatdivesintospacewithinfinitetentacles,approachingnearerandnearertostraightlines,theasymptotes,butneversucceedinginmeetingthem。Suppressthattermandyouhavetheparabola,whichvainlyseeksininfinityitslostsecondfocus;youhavethetrajectoryofthebombshell;youhavethepathofcertaincometswhichcomeonedaytovisitoursunandthenfleetodepthswhencetheyneverreturn。Isitnotwonderfulthustoformulatetheorbitoftheworlds?IthoughtsothenandIthinksostill。
Afterfifteenmonthsofthisexercise,wewentuptogetherforourexaminationatMontpellier;andbothofusreceivedourdegreesasbachelorsofmathematicalscience。Mycompanionwasawreck:I,ontheotherhand,hadrefreshedmyselfwithanalyticalgeometry。
Utterlywornoutbyhiscourseofconicsections,mychumdeclaresthathehashadenough。InvainIholdouttheglitteringprospectofanewdegree,thatoflicentiateofmathematicalscience,whichwouldleadustothesplendorsofthehighermathematicsandinitiateusintothemechanicsoftheheavens:Icannotprevailuponhim,cannotmakehimsharemyaudacity。Hecallsitamadscheme,whichwillexhaustusandcometonothing。Withouttheadviceofanexperiencedpilot,withnoothercompassthanabook,whichisnotalwaysveryclear,becauseofitslaconicadherencetosetterms,ourpoorbarkisboundtobewreckedonthefirstreef。
Onemightaswellputouttoseainanutshellanddefythebillowsofthevastydeep。Hedoesnotusetheseactualwords,buthisgloomyestimateoftheextremedifficultiestobeencounteredisenoughtoexplainhisrefusal。Iamquitefreetogoandbreakmyneckinfarcountries;heismoreprudentandwillnotfollowme。
Isuspectanotherreason,whichthedeserterdoesnotconfess。Hehasobtainedthetitleneededforhisplans。Whatdoeshecarefortherest?Isitworthwhiletosituplateatnightandwearone’sselfoutintoilforthemerepleasureoflearning?Hemustbeamadmanwho,withoutthelureofprofit,lendsaneartotheblandishmentsofknowledge。Letusretreatintoourshell,closeourlidtotheimportunitiesofthelightandleadthelifeofamussel。Thereliesthesecretofhappiness。
Thisphilosophyisnotmine。Mycuriosityseesinastageaccomplishednomorethanthepreparationforanewstagetowardstheretreatingunknown。Mypartner,therefore。leavesme。
Henceforth,Iamalone,aloneandwretched。ThereisnooneleftwithwhomIcansitupandthreshthesubjectoutinexhilaratingdiscussion。Thereisnoonenearmetounderstandme,noonewhocanevenpassivelyopposehisideastomineandtakepartintheconflictwhencethelightwillspring,evenasasparkisbornoftheconcussionoftwoflints。Whenadifficultyarises,steepasacliff,thereisnofriendlyshouldertosupportmeinmyattempttoclimbit。Alone,Ihavetoclingtotheroughnessofthejaggedrock,tofall,often,andpickmyselfup,coveredwithbruises,andrenewtheassault;alone,Imustgivemyshoutoftriumph,withouttheleastechoofencouragement,when,reachingthesummitandbrokenintheeffort,Iamatlastallowedtoseealittlewaybeyond。
Mymathematicalcampaignwillcostmemuchstubbornthought:Iamawareofthisafterthefirstfewlinesofmybook。Iamenteringuponthedomainoftheabstract,roughgroundthatcanonlybeclearedbytheinsistentplowofreflection。Theblackboard,excellentforthecurvesofanalyticalgeometrystudiedinmyfriend’scompany,isnowneglected。Iprefertheexercisebook,aquireofpaperboundinacover。Withthisconfidant,whichallowsonetoremainseatedandreststhemusclesofthelegs,Icancommunenightlyundermylampshade,untilalatehour,andkeepgoingtheforgeofthoughtwhereintheintractableproblemissoftenedandhammeredintoshape。
Mystudytable,thesizeofapockethandkerchief,occupiedontherightbytheinkstand——apennybottle——andontheleftbytheopenexercisebook,givesmejusttheroomwhichIneedtowieldthepen。Ilovethatlittlepieceoffurniture,oneofthefirstacquisitionsofmyearlymarriedlife。Itiseasilymovedwhereyouwish:infrontofthewindow,whentheskyiscloudy;intothediscreetlightofacorner,whenthesunistroublesome。Inwinter,itallowsyoutocomeclosetothehearth,wherealogisblazing。
Poorlittlewalnutboard,Ihavebeenfaithfultoyouforhalfacenturyandmore。Ink—stained,cutandscarredwiththepenknife,youlendyoursupporttodaytomyproseasyouoncedidtomyequations。Thisvariationinemploymentleavesyouindifferent;
yourpatientbackextendsthesamewelcometotheformulaeofalgebraandtheformulaofthought。Icannotboastthisplacidity;
Ifindthatthechangehasnotincreasedmypeaceofmind;huntingforideastroublesthebrainevenmorethanhuntingfortherootsofanequation。
Youwouldneverrecognizeme,littlefriend,ifyoucouldgiveaglanceatmygraymane。Whereisthecheerfulfaceofformerdays,brightwithenthusiasmandhope?Ihaveaged,Ihaveaged。Andyou,whatafallingoff,sinceyoucametomefromthedealer’s,gleamingandpolishedandsmellingsogoodwithyourbeeswax!Likeyourmaster,youhavewrinkles,oftenmywork,Iadmit;forhowmanytimes,inmyimpatience,haveInotdugmypenintoyou,when,afteritsdipinthemuddyinkpot,thenibrefusedtowritedecently!
Oneofyourcornersisbrokenoff;theboardsarebeginningtocomeloose。Insideyou,Ihear,fromtimetotime,theplaneofthedeath—watch,whodespoilsoldfurniture。Fromyeartoyear,newgalleriesareexcavated,endangeringyoursolidity。Theoldonesshowontheoutsideintheshapeoftinyroundholes。Astrangerhasseizeduponthelatter,excellentquarters,obtainedwithouttrouble。Iseetheimpudentintruderrunnimblyundermyelbowandpenetrateforthwithintothetunnelabandonedbythedeath—watch。
Sheisaftergame,thisslenderhuntress,cladinblack,busycollectingwoodliceforhergrubs。Awholenationisdevouringyou,youoldtable;Iamwritingonaswarmofinsects!Nosupportcouldbemoreappropriatetomyentomologicalnotes。
Whatwillbecomeofyouwhenyourmasterisgone?Willyoubeknockeddownforafranc,whenthefamilycometoapportionmypoorspoils?Willyoubeturnedintoastandforthepitcherbesidethekitchensink?Willyoubetheplankonwhichthecabbagesareshredded?Orwillmychildren,onthecontrary,agreeandsay:
’Letuspreservetherelic。Itwaswherehetoiledsohardtoteachhimselfandmakehimselfcapableofteachingothers;itwaswherehesolongconsumedhisstrengthtofindfoodforuswhenwewerelittle。Letuskeepthesacredplank。’
Idarenotbelieveinsuchafutureforyou。Youwillpassintostrangehands,Omyoldfriend;youwillbecomeabedsidetable,ladenwithbowlafterbowloflinseedtea,until,decrepit,ricketyandbrokendown,youarechoppeduptofeedtheflamesforabriefmomentunderthesimmeringsaucepan。Youwillvanishinsmoketojoinmylaborsinthatothersmoke,oblivion,theultimaterestingplaceofourvainagitations。
Butletusreturn,littletable,toouryoungdays;thoseofyourshiningvarnishandofmyfondillusions。ItisSunday,thedayofrest,thatistosay,ofcontinuouswork,uninterruptedbymydutiesintheschool。IgreatlypreferThursday,whichisnotageneralholidayandmorepropitioustostudiouscalm。Suchasitis,forallitsdistractions,theLord’sdaygivesmeacertainleisure。Letusmakethemostofit。Therearefifty—twoSundaysintheyear,makingatotalthatisalmostequivalenttothelongvacation。
ItsohappensthatIhaveagloriousquestiontowrestlewithtoday;thatofKepler’sthreelaws,which,whenexploredbythecalculus,aretoshowmethefundamentalmechanismoftheheavenlybodies。Oneofthemsays:’Theareasweptoutinagiventimebytheradiusvectorofthepathofaplanetisproportionaltothetimetaken。’
FromthisIhavetodeducethattheforcewhichconfinestheplanettoitsorbitisdirectedtowardsthesun。Gentlyentreatedbythedifferentialandintegralcalculus,alreadytheformulaisbeginningtovoiceitself。Myconcentrationredoubles,mymindissetuponseizingtheradiantdawnoftruth。
Suddenly,inthedistance,br—r—r—rum!Br—r—r—rum!Br—r—r—rum!Thenoisecomesnearer,growslouder。Woeuponme!AndplaguetakethePagoda!
Letmeexplain。Iliveinasuburb,atthebeginningofthePernesRoad,farfromthetumultofthetown[ofCarpentraswhereFabrewasamasteratthecollege]。Twentyyardsinfrontofmyhouse,somepleasuregardenshavebeenopened,bearingasignboardinscribed,’ThePagoda。’Here,onSundayafternoons,theladsandlassesfromtheneighboringfarmscometodisportthemselvesincountrydances。Toattractcustomandpushthesaleofrefreshments,theproprietoroftheballendstheSundayhopwithatombola。Twohoursbeforehand,hehastheprizescarriedalongthepublicroads,precededbyfifesanddrums。Fromaberibbonedpole,bornebyastalwartfellowinaredsash,dangleaplatedgoblet,ahandkerchiefofLyonssilk,apairofcandlesticksandsomepacketsofcigars。Whowouldnotenterthepleasuregardens,withsuchabait?
’Br—r—r—rum!Br—r—r—rum!Br—r—r—rum!’goestheprocession。
Itcomesjustundermywindow,wheelstotherightandmarchesintotheestablishment,ahugewoodenbooth,hungwithevergreens。Andnow,ifyoudislikenoise,flee,fleeasfarasyoucan。Untilnightfall,theophicleideswillbellow,thefifestootleandthecornetsbray。HowwouldyoudeducethestepsofKepler’slawstotheaccompanimentofthatnoisyorchestra!Itisenoughtodriveonemad。Letusbeoffwithallspeed。
Amileaway,Iknowaflintywastebelovedofthewheatearandthelocust。Herereignsperfectcalm;moreover,therearesomeclumpsofevergreenoakwhichwilllendmetheirscantyshade。Itakemybook,afewsheetsofpaperandapencilandflytothissolitude。
Whatbeauteoussilence,whatexquisitequiet!Butthesunisoverwhelming,underthemeagercoverofthebushes。Cheerily,mylad!HaveatyourKepler’slawsinthecompanyoftheblue—wingedlocusts。Youwillreturnhomewithyourproblemssolved,butwithablisteredskin。Anoverdoseofsunintheneckshallbetheoutcomeofgraspingthelawoftheareas。Onethingmakesupforanother。
Duringtherestoftheweek,IhavemyThursdaysandtheevenings,whichIemployinstudyuntilIdropwithsleep。AlltoldIhavenolackoftime,despitethedrudgeryofmycollegeties。Thegreatthingisnottobediscouragedbytheunavoidabledifficultiesencounteredattheoutset。Ilosemywayeasilyinthatdenseforestovergrownwithcreepersthathavetobecutawaywiththeaxetoobtainaclearing。Afortunateturnortwo;andI
oncemoreknowwhereIam。Ilosemywayagain。Thestubbornaxemakesitsopeningwithoutalwayslettinginsufficientlight。
Thebookisjustabook,thatistosay,asettext,sayingnotawordmorethanitisobligedto,exceedinglylearned,Iadmit,but,alas,oftenobscure!Theauthor,itseems,wroteitforhimself。
Heunderstood;thereforeothersmust。Poorbeginners,lefttoyourselves,youmanageasbestyoucan!Foryou,thereshallbenoretracingofstepsinordertotacklethedifficultyinanotherway;nocircuiteasingthearduousroadandpreparingthepassage;
nosupplementaryaperturetoadmitaglimmerofdaylight。
Incomparablyinferiortothespokenword,whichbeginsagainwithfreshmethodsofattackandisreadytovarythepathsthatleadtotheopen,thebooksayswhatitsaysandnothingmore。Havingfinisheditsdemonstration,whetheryouunderstandorno,theoracleisinexorablydumb。Yourereadthetextandponderitobstinately;youpassandrepassyourshuttlethroughthewoofoffigures。Uselesseffortsall:thedarknesscontinues。Whatwouldbeneededtosupplytheilluminatingray?Oftenenough,atrifle,amereword;andthatwordthebookwillnotspeak。
Happyishewhoisguidedbyamaster’steaching!Hisprogressdoesnotknowthemiseryofthosewearisomebreakdowns。WhatwasItodobeforethedishearteningwallthateverynowandthenroseupandbarredmyroad?Ifollowedd’Alembert’spreceptinhisadvicetoyoungmathematicalstudents:’Havefaithandgoahead,’saidthegreatgeometrician。
FaithIhad;andIwentonpluckily。AnditwaswellformethatI
did,forIoftenfoundbehindthewalltheenlightenmentwhichI
wasseekinginfrontofit。Givingupthebadpatchashopeless,I
wouldgoonand,afterIhadleftitbehind,discoverthedynamitecapableofblastingit。’Twasatinygrainatfirst,aninsignificantballrollingandincreasingasitwent。Fromoneslopetotheotherofthetheorems,itgrewtoaheavymass;andthemassbecameamightyprojectilewhich,flungbackwardsandretracingitscourse,splitthedarknessandspreaditintoonevastsheetoflight。
D’Alembert’spreceptisgoodandverygood,providedyoudonotabuseit。Toomuchprecipitationinturningovertheintractablepagemightexposeyoutomanyadisappointment。Youmusthavefoughtthedifficultytoothandnailbeforeabandoningit。Thisroughskirmishingleadstointellectualvigor。
Twelvemonthsofmeditationinthecompanyofmylittletableatlastwonmemydegreeasalicentiateofmathematicalscience;andIwasnowqualifiedtoperform,halfacenturylater,theeminentlylucrativefunctionsofaninspectorofSpiders’webs!
CHAPTERXIVTHEBLUEBOTTLE:THELAYING
Topurgetheearthofdeath’simpuritiesandcausedeceasedanimalmattertobeoncemorenumberedamongthetreasuresoflifetherearehostsofsausagequeens,including,inourpartoftheworld,thebluebottle(Calliphoravomitaria,LIN。)andthecheckeredfleshfly(Sarcophagacarnaria,LIN。)。Everyoneknowsthefirst,thebig,dark—blueflywho,aftereffectingherdesignsintheill—
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