第3章

类别:其他 作者:Raghavan S.字数:23513更新时间:19/01/03 13:33:30
8 Wehavealreadyshownthatwetanddrymustbothgiverisetoanevaporation:earthquakesareanecessaryconsequenceofthisfact。Theearthisessentiallydry,butrainfillsitwithmoisture。Thenthesunanditsownfirewarmitandgiverisetoaquantityofwindbothoutsideandinsideit。Thiswindsometimesflowsoutwardsinasinglebody,sometimesinwards,andsometimesitisdivided。Allthesearenecessarylaws。Nextwemustfindoutwhatbodyhasthegreatestmotiveforce。Thiswillcertainlybethebodythatnaturallymovesfarthestandismostviolent。Nowthatwhichhasthemostrapidmotionisnecessarilythemostviolent;foritsswiftnessgivesitsimpactthegreatestforce。Again,therarestbody,thatwhichcanmostreadilypassthrougheveryotherbody,isthatwhichnaturallymovesfarthest。Windsatisfiestheseconditionsinthehighestdegree(fireonlybecomesflameandmovesrapidlywhenwindaccompaniesit):sothatnotwaternorearthisthecauseofearthquakesbutwind-thatis,theinrushoftheexternalevaporationintotheearth。 Hence,sincetheevaporationgenerallyfollowsinacontinuousbodyinthedirectioninwhichitfirststarted,andeitherallofitflowsinwardsoralloutwards,mostearthquakesandthegreatestareaccompaniedbycalm。Itistruethatsometakeplacewhenawindisblowing,butthispresentsnodifficulty。Wesometimesfindseveralwindsblowingsimultaneously。Ifoneoftheseenterstheearthwegetanearthquakeattendedbywind。Onlytheseearthquakesarelessseverebecausetheirsourceandcauseisdivided。 Again,mostearthquakesandtheseverestoccuratnightor,ifbyday,aboutnoon,thatbeinggenerallythecalmestpartoftheday。Forwhenthesunexertsitsfullpower(asitdoesaboutnoon)itshutstheevaporationintotheearth。Night,too,iscalmerthanday。Theabsenceofthesunmakestheevaporationreturnintotheearthlikeasortofebbtide,correspondingtotheoutwardflow;especiallytowardsdawn,forthewinds,asarule,begintoblowthen,andiftheirsourcechangesaboutliketheEuripusandflowsinwardsthequantityofwindintheearthisgreaterandamoreviolentearthquakeresults。 Theseverestearthquakestakeplacewheretheseaisfullofcurrentsortheearthspongyandcavernous:sotheyoccurneartheHellespontandinAchaeaandSicily,andthosepartsofEuboeawhichcorrespondtoourdescription-wheretheseaissupposedtoflowinchannelsbelowtheearth。Thehotsprings,too,nearAedepsusareduetoacauseofthiskind。Itistheconfinedcharacteroftheseplacesthatmakesthemsoliabletoearthquakes。Agreatandthereforeviolentwindisdeveloped,whichwouldnaturallyblowawayfromtheearth:buttheonrushoftheseainagreatmassthrustsitbackintotheearth。Thecountriesthatarespongybelowthesurfaceareexposedtoearthquakesbecausetheyhaveroomforsomuchwind。 Forthesamereasonearthquakesusuallytakeplaceinspringandautumnandintimesofwetandofdrought-becausethesearethewindiestseasons。Summerwithitsheatandwinterwithitsfrostcausecalm:winteristoocold,summertoodryforwindstoform。Intimeofdroughttheairisfullofwind;droughtisjustthepredominanceofthedryoverthemoistevaporation。Again,excessiveraincausesmoreoftheevaporationtoformintheearth。Thenthissecretionisshutupinanarrowcompassandforcedintoasmallerspacebythewaterthatfillsthecavities。Thusagreatwindiscompressedintoasmallerspaceandsogetstheupperhand,andthenbreaksoutandbeatsagainsttheearthandshakesitviolently。 Wemustsupposetheactionofthewindintheearthtobeanalogoustothetremorsandthrobbingscausedinusbytheforceofthewindcontainedinourbodies。Thussomeearthquakesareasortoftremor,othersasortofthrobbing。Again,wemustthinkofanearthquakeassomethinglikethetremorthatoftenrunsthroughthebodyafterpassingwaterasthewindreturnsinwardsfromwithoutinonevolume。 Theforcewindcanhavemaybegatherednotonlyfromwhathappensintheair(whereonemightsupposethatitoweditspowertoproducesucheffectstoitsvolume),butalsofromwhatisobservedinanimalbodies。Tetanusandspasmsaremotionsofwind,andtheirforceissuchthattheunitedeffortsofmanymendonotsucceedinovercomingthemovementsofthepatients。Wemustsuppose,then(tocomparegreatthingswithsmall),thatwhathappensintheearthisjustlikethat。Ourtheoryhasbeenverifiedbyactualobservationinmanyplaces。Ithasbeenknowntohappenthatanearthquakehascontinueduntilthewindthatcauseditburstthroughtheearthintotheairandappearedvisiblylikeahurricane。ThishappenedlatelynearHeracleiainPontusandsometimepastattheislandHiera,oneofthegroupcalledtheAeolianislands。Hereaportionoftheearthswelledupandalumplikeamoundrosewithanoise:finallyitburst,andagreatwindcameoutofitandthrewuplivecindersandasheswhichburiedtheneighbouringtownofLiparaandreachedsomeofthetownsinItaly。Thespotwherethiseruptionoccurredisstilltobeseen。 Indeed,thismustberecognizedasthecauseofthefirethatisgeneratedintheearth:theairisfirstbrokenupinsmallparticlesandthenthewindisbeatenaboutandsocatchesfire。 Aphenomenonintheseislandsaffordsfurtherevidenceofthefactthatwindsmovebelowthesurfaceoftheearth。Whenasouthwindisgoingtoblowthereisapremonitoryindication:asoundisheardintheplacesfromwhichtheeruptionsissue。Thisisbecausetheseaisbeingpushedonfromadistanceanditsadvancethrustsbackintotheearththewindthatwasissuingfromit。Thereasonwhythereisanoiseandnoearthquakeisthattheundergroundspacesaresoextensiveinproportiontothequantityoftheairthatisbeingdrivenonthatthewindslipsawayintothevoidbeyond。 Again,ourtheoryissupportedbythefactsthatthesunappearshazyandisdarkenedintheabsenceofclouds,andthatthereissometimescalmandsharpfrostbeforeearthquakesatsunrise。Thesunisnecessarilyobscuredanddarkenedwhentheevaporationwhichdissolvesandrarefiestheairbeginstowithdrawintotheearth。 Thecalm,too,andthecoldtowardssunriseanddawnfollowfromthetheory。Thecalmwehavealreadyexplained。Theremustasarulebecalmbecausethewindflowsbackintotheearth:again,itmustbemostmarkedbeforethemoreviolentearthquakes,forwhenthewindisnotpartoutsideearth,partinside,butmovesinasinglebody,itsstrengthmustbegreater。Thecoldcomesbecausetheevaporationwhichisnaturallyandessentiallyhotenterstheearth。(Windisnotrecognizedtobehot,becauseitsetstheairinmotion,andthatisfullofaquantityofcoldvapour。Itisthesamewiththebreathweblowfromourmouth:closebyitiswarm,asitiswhenwebreatheoutthroughthemouth,butthereissolittleofitthatitisscarcelynoticed,whereasatadistanceitiscoldforthesamereasonaswind。)Well,whenthisevaporationdisappearsintotheearththevaporousexhalationconcentratesandcausescoldinanyplaceinwhichthisdisappearanceoccurs。 Asignwhichsometimesprecedesearthquakescanbeexplainedinthesameway。Eitherbydayoralittleaftersunset,infineweather,alittle,light,long-drawncloudisseen,likealongverystraightline。Thisisbecausethewindisleavingtheairanddyingdown。 Somethinganalogoustothishappensonthesea-shore。Whentheseabreaksingreatwavesthemarksleftonthesandareverythickandcrooked,butwhentheseaiscalmtheyareslightandstraight(becausethesecretionissmall)。Astheseaistotheshoresothewindistothecloudyair;so,whenthewinddrops,thisverystraightandthincloudisleft,asortofwave-markintheair。 Anearthquakesometimescoincideswithaneclipseofthemoonforthesamereason。Whentheearthisonthepointofbeinginterposed,butthelightandheatofthesunhasnotquitevanishedfromtheairbutisdyingaway,thewindwhichcausestheearthquakebeforetheeclipse,turnsoffintotheearth,andcalmensues。Forthereoftenarewindsbeforeeclipses:atnightfalliftheeclipseisatmidnight,andatmidnightiftheeclipseisatdawn。Theyarecausedbythelesseningofthewarmthfromthemoonwhenitssphereapproachesthepointatwhichtheeclipseisgoingtotakeplace。Sotheinfluencewhichrestrainedandquietedtheairweakensandtheairmovesagainandawindrises,anddoessolater,thelatertheeclipse。 Asevereearthquakedoesnotstopatonceorafterasingleshock,butfirsttheshocksgoon,oftenforaboutfortydays;afterthat,foroneoreventwoyearsitgivespremonitoryindicationsinthesameplace。Theseverityoftheearthquakeisdeterminedbythequantityofwindandtheshapeofthepassagesthroughwhichitflows。Whereitisbeatenbackandcannoteasilyfinditswayouttheshocksaremostviolent,andthereitmustremaininacrampedspacelikewaterthatcannotescape。Anythrobbinginthebodydoesnotceasesuddenlyorquickly,butbydegreesaccordingastheaffectionpassesoff。Soheretheagencywhichcreatedtheevaporationandgaveitanimpulsetomotionclearlydoesnotatonceexhaustthewholeofthematerialfromwhichitformsthewindwhichwecallanearthquake。Sountiltherestofthisisexhaustedtheshocksmustcontinue,thoughmoregently,andtheymustgoonuntilthereistoolittleoftheevaporationlefttohaveanyperceptibleeffectontheearthatall。 Subterraneannoises,too,areduetothewind;sometimestheyportendearthquakesbutsometimestheyhavebeenheardwithoutanyearthquakefollowing。Justastheairgivesoffvarioussoundswhenitisstruck,soitdoeswhenitstrikesotherthings;forstrikinginvolvesbeingstruckandsothetwocasesarethesame。Thesoundprecedestheshockbecausesoundisthinnerandpassesthroughthingsmorereadilythanwind。Butwhenthewindistooweakbyreasonofthinnesstocauseanearthquaketheabsenceofashockisduetoitsfilteringthroughreadily,thoughbystrikinghardandhollowmassesofdifferentshapesitmakesvariousnoises,sothattheearthsometimesseemsto’bellow’astheportentmongerssay。 Waterhasbeenknowntoburstoutduringanearthquake。Butthatdoesnotmakewaterthecauseoftheearthquake。Thewindistheefficientcausewhetheritdrivesthewateralongthesurfaceorupfrombelow:justaswindsarethecausesofwavesandnotwavesofwinds。Elsewemightaswellsaythatearthwasthecause;foritisupsetinanearthquake,justlikewater(foreffusionisaformofupsetting)。No,earthandwaterarematerialcauses(beingpatients,notagents):thetruecauseisthewind。 Thecombinationofatidalwavewithanearthquakeisduetothepresenceofcontrarywinds。Itoccurswhenthewindwhichisshakingtheearthdoesnotentirelysucceedindrivingofftheseawhichanotherwindisbringingon,butpushesitbackandheapsitupinagreatmassinoneplace。Giventhissituationitfollowsthatwhenthiswindgiveswaythewholebodyofthesea,drivenonbytheotherwind,willburstoutandoverwhelmtheland。ThisiswhathappenedinAchaea。Thereasouthwindwasblowing,butoutsideanorthwind;thentherewasacalmandthewindenteredtheearth,andthenthetidalwavecameonandsimultaneouslytherewasanearthquake。Thiswasthemoreviolentastheseaallowednoexittothewindthathadenteredtheearth,butshutitin。Sointheirstrugglewithoneanotherthewindcausedtheearthquake,andthewavebyitssettlingdowntheinundation。 Earthquakesarelocalandoftenaffectasmalldistrictonly; whereaswindsarenotlocal。Suchphenomenaarelocalwhentheevaporationsatagivenplacearejoinedbythosefromthenextandunite;this,asweexplained,iswhathappenswhenthereisdroughtorexcessiverainlocally。Nowearthquakesdocomeaboutinthiswaybutwindsdonot。Forearthquakes,rains,anddroughtshavetheirsourceandorigininsidetheearth,sothatthesunisnotequallyabletodirectalltheevaporationsinonedirection。Butontheevaporationsintheairthesunhasmoreinfluencesothat,whenoncetheyhavebeengivenanimpulsebyitsmotion,whichisdeterminedbyitsvariouspositions,theyflowinonedirection。 Whenthewindispresentinsufficientquantitythereisanearthquake。Theshocksarehorizontallikeatremor;exceptoccasionally,inafewplaces,wheretheyactvertically,upwardsfrombelow,likeathrobbing。Itistheverticaldirectionwhichmakesthiskindofearthquakesorare。Themotiveforcedoesnoteasilyaccumulateingreatquantityinthepositionrequired,sincethesurfaceoftheearthsecretesfarmoreoftheevaporationthanitsdepths。Whereveranearthquakeofthiskinddoesoccuraquantityofstonescomestothesurfaceoftheearth(aswhenyouthrowupthingsinawinnowingfan),asweseefromSipylusandthePhlegraeanplainandthedistrictinLiguria,whichweredevastatedbythiskindofearthquake。 Islandsinthemiddleoftheseaarelessexposedtoearthquakesthanthosenearland。First,thevolumeoftheseacoolstheevaporationsandoverpowersthembyitsweightandsocrushesthem。 Then,currentsandnotshocksareproducedintheseabytheactionofthewinds。Again,itissoextensivethatevaporationsdonotcollectinitbutissuefromit,andthesedrawtheevaporationsfromtheearthafterthem。Islandsnearthecontinentreallyformpartofit:theinterveningseaisnotenoughtomakeanydifference;butthoseintheopenseacanonlybeshakenifthewholeoftheseathatsurroundsthemisshakentoo。 Wehavenowexplainedearthquakes,theirnatureandcause,andthemostimportantofthecircumstancesattendantontheirappearance。 9 Letusgoontoexplainlightningandthunder,andfurtherwhirlwind,fire-wind,andthunderbolts:forthecauseofthemallisthesame。 Aswehavesaid,therearetwokindsofexhalation,moistanddry,andtheatmospherecontainsthembothpotentially。It,aswehavesaidbefore,condensesintocloud,andthedensityofthecloudsishighestattheirupperlimit。(Fortheymustbedenserandcolderonthesidewheretheheatescapestotheupperregionandleavesthem。 Thisexplainswhyhurricanesandthunderboltsandallanalogousphenomenamovedownwardsinspiteofthefactthateverythinghothasanaturaltendencyupwards。Justasthepipsthatwesqueezebetweenourfingersareheavybutoftenjumpupwards:sothesethingsarenecessarilysqueezedoutawayfromthedensestpartofthecloud。)Nowtheheatthatescapesdispersestotheupregion。 Butifanyofthedryexhalationiscaughtintheprocessastheaircools,itissqueezedoutasthecloudscontract,andcollidesinitsrapidcoursewiththeneighbouringclouds,andthesoundofthiscollisioniswhatwecallthunder。Thiscollisionisanalogous,tocomparesmallwithgreat,tothesoundwehearinaflamewhichmencallthelaughterorthethreatofHephaestusorofHestia。Thisoccurswhenthewooddriesandcracksandtheexhalationrushesontheflameinabody。Sointheclouds,theexhalationisprojectedanditsimpactondensecloudscausesthunder:thevarietyofthesoundisduetotheirregularityofthecloudsandthehollowsthatintervenewheretheirdensityisinterrupted。Thisthen,isthunder,andthisitscause。 Itusuallyhappensthattheexhalationthatisejectedisinflamedandburnswithathinandfaintfire:thisiswhatwecalllightning,whereweseeasitweretheexhalationcolouredintheactofitsejection。Itcomesintoexistenceafterthecollisionandthethunder,thoughweseeitearlierbecausesightisquickerthanhearing。Therowingoftriremesillustratesthis:theoarsaregoingbackagainbeforethesoundoftheirstrikingthewaterreachesus。 However,therearesomewhomaintainthatthereisactuallyfireintheclouds。Empedoclessaysthatitconsistsofsomeofthesun’srayswhichareintercepted:Anaxagorasthatitispartoftheupperether(whichhecallsfire)whichhasdescendedfromabove。Lightning,then,isthegleamofthisfire,andthunderthehissingnoiseofitsextinctioninthecloud。 Butthisinvolvestheviewthatlightningactuallyispriortothunderanddoesnotmerelyappeartobeso。Again,thisinterceptingofthefireisimpossibleoneithertheory,butespeciallyitissaidtobedrawndownfromtheupperether。Somereasonoughttobegivenwhythatwhichnaturallyascendsshoulddescend,andwhyitshouldnotalwaysdoso,butonlywhenitiscloudy。Whentheskyisclearthereisnolightning:tosaythatthereis,isaltogetherwanton。 Theviewthattheheatofthesun’sraysinterceptedinthecloudsisthecauseofthesephenomenaisequallyunattractive:this,too,isamostcarelessexplanation。Thunder,lightning,andtherestmusthaveaseparateanddeterminatecauseassignedtothemonwhichtheyensue。Butthistheorydoesnothingofthesort。Itislikesupposingthatwater,snow,andhailexistedallalongandwereproducedwhenthetimecameandnotgeneratedatall,asiftheatmospherebroughteachtohandoutofitsstockfromtimetotime。 Theyareconcretionsinthesamewayasthunderandlightningarediscretions,sothatifitistrueofeitherthattheyarenotgeneratedbutpre-exist,thesamemustbetrueoftheother。Again,howcananydistinctionbemadeabouttheinterceptingbetweenthiscaseandthatofinterceptionindensersubstancessuchaswater? Water,too,isheatedbythesunandbyfire:yetwhenitcontractsagainandgrowscoldandfreezesnosuchejectionastheydescribeoccurs,thoughitoughtontheirthe。totakeplaceonaproportionatescale。Boilingisduetotheexhalationgeneratedbyfire:butitisimpossibleforittoexistinthewaterbeforehand;andbesidestheycallthenoise’hissing’,not’boiling’。Buthissingisreallyboilingonasmallscale:forwhenthatwhichisbroughtintocontactwithmoistureandisinprocessofbeingextinguishedgetsthebetterofit,thenitboilsandmakesthenoiseinquestion。Some-Cleidemusisoneofthem-saythatlightningisnothingobjectivebutmerelyanappearance。Theycompareittowhathappenswhenyoustriketheseawitharodbynightandthewaterisseentoshine。Theysaythatthemoistureinthecloudisbeatenaboutinthesameway,andthatlightningistheappearanceofbrightnessthatensues。 Thistheoryisduetoignoranceofthetheoryofreflection,whichistherealcauseofthatphenomenon。Thewaterappearstoshinewhenstruckbecauseoursightisreflectedfromittosomebrightobject:hencethephenomenonoccursmainlybynight:theappearanceisnotseenbydaybecausethedaylightistooin,tenseandobscuresit。 Thesearethetheoriesofothersaboutthunderandlightning:somemaintainingthatlightningisareflection,theothersthatlightningisfireshiningthroughthecloudandthunderitsextinction,thefirenotbeinggeneratedineachcasebutexistingbeforehand。Wesaythatthesamestuffiswindontheearth,andearthquakeunderit,andinthecloudsthunder。Theessentialconstituentofallthesephenomenaisthesame:namely,thedryexhalation。Ifitflowsinonedirectionitiswind,inanotheritcausesearthquakes;intheclouds,whentheyareinaprocessofchangeandcontractandcondenseintowater,itisejectedandcausesthunderandlightningandtheotherphenomenaofthesamenature。 Somuchforthunderandlightning。 BookIII 1 LETusexplaintheremainingoperationsofthissecretioninthesamewayaswehavetreatedtherest。Whenthisexhalationissecretedinsmallandscatteredquantitiesandfrequently,andistransitory,anditsconstitutionrare,itgivesrisetothunderandlightning。Butifitissecretedinabodyandisdenser,thatis,lessrare,wegetahurricane。Thefactthatitissuesinbodyexplainsitsviolence:itisduetotherapidityofthesecretion。Nowwhenthissecretionissuesinagreatandcontinuouscurrenttheresultcorrespondstowhatwegetwhentheoppositedevelopmenttakesplaceandrainandaquantityofwaterareproduced。Asfarasthematterfromwhichtheyaredevelopedgoesbothsetsofphenomenaarethesame。Assoonasastimulustothedevelopmentofeitherpotentialityappears,thatofwhichthereisthegreaterquantitypresentinthecloudisatoncesecretedfromit,andthereresultseitherrain,or,iftheotherexhalationprevails,ahurricane。 Sometimestheexhalationinthecloud,whenitisbeingsecreted,collideswithanotherundercircumstanceslikethosefoundwhenawindisforcedfromanopenintoanarrowspaceinagatewayoraroad。 Itoftenhappensinsuchcasesthatthefirstpartofthemovingbodyisdeflectedbecauseoftheresistancedueeithertothenarrownessortoacontrarycurrent,andsothewindformsacircleandeddy。Itispreventedfromadvancinginastraightline:atthesametimeitispushedonfrombehind;soitiscompelledtomovesidewaysinthedirectionofleastresistance。Thesamethinghappenstothenextpart,andthenext,andsoon,tilltheseriesbecomesone,thatis,tillacircleisformed:forifafigureisdescribedbyasinglemotionthatfiguremustitselfbeone。Thisishoweddiesaregeneratedontheearth,andthecaseisthesameinthecloudsasfarasthebeginningofthemgoes。Onlyhere(asinthecaseofthehurricanewhichshakesoffthecloudwithoutcessationandbecomesacontinuouswind)thecloudfollowstheexhalationunbroken,andtheexhalation,failingtobreakawayfromthecloudbecauseofitsdensity,firstmovesinacircleforthereasongivenandthendescends,becausecloudsarealwaysdensestonthesidewheretheheatescapes。Thisphenomenoniscalledawhirlwindwhenitiscolourless;anditisasortofundigestedhurricane。Thereisneverawhirlwindwhentheweatherisnortherly,norahurricanewhenthereissnow。Thereasonisthatallthesephenomenaare’wind’,andwindisadryandwarmevaporation。Nowfrostandcoldprevailoverthisprincipleandquenchitatitsbirth:thattheydoprevailisclearortherecouldbenosnowornortherlyrain,sincetheseoccurwhenthecolddoesprevail。 Sothewhirlwindoriginatesinthefailureofanincipienthurricanetoescapefromitscloud:itisduetotheresistancewhichgeneratestheeddy,anditconsistsinthespiralwhichdescendstotheearthanddragswithitthecloudwhichitcannotshakeoff。Itmovesthingsbyitswindinthedirectioninwhichitisblowinginastraightline,andwhirlsroundbyitscircularmotionandforciblysnatchesupwhateveritmeets。 Whenthecloudburnsasitisdrawndownwards,thatis,whentheexhalationbecomesrarer,itiscalledafire-wind,foritsfirecolourstheneighbouringairandinflamesit。 Whenthereisagreatquantityofexhalationanditisrareandissqueezedoutintheclouditselfwegetathunderbolt。Iftheexhalationisexceedinglyrarethisrarenesspreventsthethunderboltfromscorchingandthepoetscallit’bright’:iftherarenessislessitdoesscorchandtheycallit’smoky’。Theformermovesrapidlybecauseofitsrareness,andbecauseofitsrapiditypassesthroughanobjectbeforesettingfiretoitordwellingonitsoastoblackenit:thesloweronedoesblackentheobject,butpassesthroughitbeforeitcanactuallyburnit。Further,resistingsubstancesareaffected,unresistingonesarenot。Forinstance,ithashappenedthatthebronzeofashieldhasbeenmeltedwhilethewoodworkremainedintactbecauseitstexturewassoloosethattheexhalationfilteredthroughwithoutaffectingit。Soithaspassedthroughclothes,too,withoutburningthem,andhasmerelyreducedthemtoshreds。 Suchevidenceisenoughbyitselftoshowthattheexhalationisatworkinallthesecases,butwesometimesgetdirectevidenceaswell,asinthecaseoftheconflagrationofthetempleatEphesuswhichwelatelywitnessed。Thereindependentsheetsofflameleftthemainfireandwerecarriedbodilyinmanydirections。Nowthatsmokeisexhalationandthatsmokeburnsiscertain,andhasbeenstatedinanotherplacebefore;butwhentheflamemovesbodily,thenwehaveocularproofthatsmokeisexhalation。Onthisoccasionwhatisseeninsmallfiresappearedonamuchlargerscalebecauseofthequantityofmatterthatwasburning。Thebeamswhichwerethesourceoftheexhalationsplit,andaquantityofitrushedinabodyfromtheplacefromwhichitissuedforthandwentupinablaze: sothattheflamewasactuallyseenmovingthroughtheairawayandfallingonthehouses。Forwemustrecognizethatexhalationaccompaniesandprecedesthunderboltsthoughitiscolourlessandsoinvisible。Hence,wherethethunderboltisgoingtostrike,theobjectmovesbeforeitisstruck,showingthattheexhalationleadsthewayandfallsontheobjectfirst。Thunder,too,splitsthingsnotbyitsnoisebutbecausetheexhalationthatstrikestheobjectandthatwhichmakesthenoiseareejectedsimultaneously。Thisexhalationsplitsthethingitstrikesbutdoesnotscorchitatall。 Wehavenowexplainedthunderandlightningandhurricane,andfurtherfirewinds,whirlwinds,andthunderbolts,andshownthattheyareallofthemformsofthesamethingandwhereintheyalldiffer。 2 Letusnowexplainthenatureandcauseofhalo,rainbow,mocksuns,androds,sincethesameaccountappliestothemall。 Wemustfirstdescribethephenomenaandthecircumstancesinwhicheachofthemoccurs。Thehalooftenappearsasacompletecircle:itisseenroundthesunandthemoonandbrightstars,bynightaswellasbyday,andatmiddayorintheafternoon,morerarelyaboutsunriseorsunset。 Therainbowneverformsafullcircle,noranysegmentgreaterthanasemicircle。Atsunsetandsunrisethecircleissmallestandthesegmentlargest:asthesunriseshigherthecircleislargerandthesegmentsmaller。Aftertheautumnequinoxintheshorterdaysitisseenateveryhouroftheday,inthesummernotaboutmidday。Therearenevermorethantworainbowsatonetime。Eachofthemisthree-coloured;thecoloursarethesameinbothandtheirnumberisthesame,butintheouterrainbowtheyarefainterandtheirpositionisreversed。Intheinnerrainbowthefirstandlargestbandisred;intheouterrainbowthebandthatisnearesttothisoneandsmallestisofthesamecolour:theotherbandscorrespondonthesameprinciple。Thesearealmosttheonlycolourswhichpainterscannotmanufacture:fortherearecolourswhichtheycreatebymixing,butnomixingwillgivered,green,orpurple。Thesearethecoloursoftherainbow,thoughbetweentheredandthegreenanorangecolourisoftenseen。 Mocksunsandrodsarealwaysseenbythesideofthesun,notaboveorbelowitnorintheoppositequarterofthesky。Theyarenotseenatnightbutalwaysintheneighbourhoodofthesun,eitherasitisrisingorsettingbutmorecommonlytowardssunset。Theyhavescarcelyeverappearedwhenthesunwasonthemeridian,thoughthisoncehappenedinBosporuswheretwomocksunsrosewiththesunandfolloweditallthroughthedaytillsunset。 Thesearethefactsabouteachofthesephenomena:thecauseofthemallisthesame,fortheyareallreflections。Buttheyaredifferentvarieties,andaredistinguishedbythesurfacefromwhichandthewayinwhichthereflectiontothesunorsomeotherbrightobjecttakesplace。 Therainbowisseenbyday,anditwasformerlythoughtthatitneverappearedbynightasamoonrainbow。Thisopinionwasduetotherarityoftheoccurrence:itwasnotobserved,forthoughitdoeshappenitdoessorarely。Thereasonisthatthecoloursarenotsoeasytoseeinthedarkandthatmanyotherconditionsmustcoincide,andallthatinasingledayinthemonth。Forifthereistobeoneitmustbeatfullmoon,andthenasthemooniseitherrisingorsetting。Sowehaveonlymetwithtwoinstancesofamoonrainbowinmorethanfiftyyears。 Wemustacceptfromthetheoryofopticsthefactthatsightisreflectedfromairandanyobjectwithasmoothsurfacejustasitisfromwater;alsothatinsomemirrorstheformsofthingsarereflected,inothersonlytheircolours。Ofthelatterkindarethosemirrorswhicharesosmallastobeindivisibleforsense。Itisimpossiblethatthefigureofathingshouldbereflectedinthem,forifitisthemirrorwillbesensiblydivisiblesincedivisibilityisinvolvedinthenotionoffigure。Butsincesomethingmustbereflectedinthemandfigurecannotbe,itremainsthatcolouraloneshouldbereflected。Thecolourofabrightobjectsometimesappearsbrightinthereflection,butitsometimes,eitherowingtotheadmixtureofthecolourofthemirrorortoweaknessofsight,givesrisetotheappearanceofanothercolour。 However,wemustaccepttheaccountwehavegivenofthesethingsinthetheoryofsensation,andtakesomethingsforgrantedwhileweexplainothers。 3 Letusbeginbyexplainingtheshapeofthehalo;whyitisacircleandwhyitappearsroundthesunorthemoonoroneoftheotherstars:theexplanationbeinginallthesecasesthesame。 Sightisreflectedinthiswaywhenairandvapourarecondensedintoacloudandthecondensedmatterisuniformandconsistsofsmallparts。Henceinitselfitisasignofrain,butifitfadesaway,offineweather,ifitisbrokenup,ofwind。Forifitdoesnotfadeawayandisnotbrokenupbutisallowedtoattainitsnormalstate,itisnaturallyasignofrainsinceitshowsthataprocessofcondensationisproceedingwhichmust,whenitiscarriedtoanend,resultinrain。Forthesamereasonthesehaloesarethedarkest。Itisasignofwindwhenitisbrokenupbecauseitsbreakingupisduetoawindwhichexiststherebuthasnotreachedus。Thisviewfindssupportinthefactthatthewindblowsfromthequarterinwhichthemaindivisionappearsinthehalo。Itsfadingawayisasignoffineweatherbecauseiftheairisnotyetinastatetogetthebetteroftheheatitcontainsandproceedtocondenseintowater,thisshowsthatthemoistvapourhasnotyetseparatedfromthedryandfirelikeexhalation:andthisisthecauseoffineweather。 Somuchfortheatmosphericconditionsunderwhichthereflectiontakesplace。Thereflectionisfromthemistthatformsroundthesunorthemoon,andthatiswhythehaloisnotseenoppositethesunliketherainbow。 Sincethereflectiontakesplaceinthesamewayfromeverypointtheresultisnecessarilyacircleorasegmentofacircle:forifthelinesstartfromthesamepointandendatthesamepointandareequal,thepointswheretheyformananglewillalwayslieonacircle。 LetAGBandAZBandADBbelineseachofwhichgoesfromthepointA tothepointBandformsanangle。LetthelinesAG,AZ,ADbeequalandthoseatB,GB,ZB,DBequaltoo。(Seediagram。) DrawthelineAEB。Thenthetrianglesareequal;fortheirbaseAEBisequal。DrawperpendicularstoAEBfromtheangles;GEfromG,ZEfromZ,DEfromD。Thentheseperpendicularsareequal,beinginequaltriangles。Andtheyareallinoneplane,beingallatrightanglestoAEBandmeetingatasinglepointE。SoifyoudrawthelineitwillbeacircleandEitscentre。NowBisthesun,Atheeye,andthecircumferencepassingthroughthepointsGZDthecloudfromwhichthelineofsightisreflectedtothesun。 Themirrorsmustbethoughtofascontiguous:eachofthemistoosmalltobevisible,buttheircontiguitymakesthewholemadeupofthemalltoseemone。Thebrightbandisthesun,whichisseenasacircle,appearingsuccessivelyineachofthemirrorsasapointindivisibletosense。Thebandofcloudnexttoitisblack,itscolourbeingintensifiedbycontrastwiththebrightnessofthehalo。Thehaloisformedratherneartheearthbecausethatiscalmer: forwherethereiswinditisclearthatnohalocanmaintainitsposition。 Haloesarecommonerroundthemoonbecausethegreaterheatofthesundissolvesthecondensationsoftheairmorerapidly。 Haloesareformedroundstarsforthesamereasons,buttheyarenotprognosticinthesamewaybecausethecondensationtheyimplyissoinsignificantastobebarren。 4 Wehavealreadystatedthattherainbowisareflection:wehavenowtoexplainwhatsortofreflectionitis,todescribeitsvariousconcomitants,andtoassigntheircauses。 Sightisreflectedfromallsmoothsurfaces,suchasareairandwateramongothers。Airmustbecondensedifitistoactasamirror,thoughitoftengivesareflectionevenuncondensedwhenthesightisweak。Suchwasthecaseofamanwhosesightwasfaintandindistinct。Healwayssawanimageinfrontofhimandfacinghimashewalked。Thiswasbecausehissightwasreflectedbacktohim。Itsmorbidconditionmadeitsoweakanddelicatethattheairclosebyactedasamirror,justasdistantandcondensedairnormallydoes,andhissightcouldnotpushitback。Sopromontoriesinthesea’loom’whenthereisasouth-eastwind,andeverythingseemsbigger,andinamist,too,thingsseembigger:so,too,thesunandthestarsseembiggerwhenrisingandsettingthanonthemeridian。Butthingsarebestreflectedfromwater,andeveninprocessofformationitisabettermirrorthanair,foreachoftheparticles,theunionofwhichconstitutesaraindrop,isnecessarilyabettermirrorthanmist。Nowitisobviousandhasalreadybeenstatedthatamirrorofthiskindrendersthecolourofanobjectonly,butnotitsshape。 Henceitfollowsthatwhenitisonthepointofrainingandtheairinthecloudsisinprocessofformingintoraindropsbuttherainisnotyetactuallythere,ifthesunisopposite,oranyotherobjectbrightenoughtomakethecloudamirrorandcausethesighttobereflectedtotheobjectthenthereflectionmustrenderthecolouroftheobjectwithoutitsshape。Sinceeachofthemirrorsissosmallastobeinvisibleandwhatweseeisthecontinuousmagnitudemadeupofthemall,thereflectionnecessarilygivesusacontinuousmagnitudemadeupofonecolour;eachofthemirrorscontributingthesamecolourtothewhole。Wemaydeducethatsincetheseconditionsarerealizabletherewillbeanappearanceduetoreflectionwheneverthesunandthecloudarerelatedinthewaydescribedandwearebetweenthem。Butthesearejusttheconditionsunderwhichtherainbowappears。Soitisclearthattherainbowisareflectionofsighttothesun。 Sotherainbowalwaysappearsoppositethesunwhereasthehaloisroundit。Theyarebothreflections,buttherainbowisdistinguishedbythevarietyofitscolours。Thereflectionintheonecaseisfromwaterwhichisdarkandfromadistance;intheotherfromairwhichisnearerandlighterincolour。Whitelightthroughadarkmediumoronadarksurface(itmakesnodifference)looksred。 Weknowhowredtheflameofgreenwoodis:thisisbecausesomuchsmokeismixedwiththebrightwhitefirelight:so,too,thesunappearsredthroughsmokeandmist。Thatiswhyintherainbowreflectiontheoutercircumferenceisred(thereflectionbeingfromsmallparticlesofwater),butnotinthecaseofthehalo。Theothercoloursshallbeexplainedlater。Again,acondensationofthiskindcannotpersistintheneighbourhoodofthesun:itmusteitherturntorainorbedissolved,butoppositetothesunthereisanintervalduringwhichthewaterisformed。Iftherewerenotthisdistinctionhaloeswouldbecolouredliketherainbow。Actuallynocompleteorcircularhalopresentsthiscolour,onlysmallandfragmentaryappearancescalled’rods’。Butifahazeduetowateroranyotherdarksubstanceformedthereweshouldhavehad,aswemaintain,acompleterainbowlikethatwhichwedofindlamps。A rainbowappearsroundtheseinwinter,generallywithsoutherlywinds。 Personswhoseeyesaremoistseeitmostclearlybecausetheirsightisweakandeasilyreflected。Itisduetothemoistnessoftheairandthesootwhichtheflamegivesoffandwhichmixeswiththeairandmakesitamirror,andtotheblacknesswhichthatmirrorderivesfromthesmokynatureofthesoot。Thelightofthelampappearsasacirclewhichisnotwhitebutpurple。Itshowsthecoloursoftherainbow;butbecausethesightthatisreflectedistooweakandthemirrortoodark,redisabsent。Therainbowthatisseenwhenoarsareraisedoutoftheseainvolvesthesamerelativepositionsasthatinthesky,butitscolourismorelikethatroundthelamps,beingpurpleratherthanred。Thereflectionisfromverysmallparticlescontinuouswithoneanother,andinthiscasetheparticlesarefullyformedwater。Wegetarainbow,too,ifamansprinklesfinedropsinaroomturnedtothesunsothatthesunisshininginpartoftheroomandthrowingashadowintherest。Thenifonemansprinklesintheroom,another,standingoutside,seesarainbowwherethesun’sraysceaseandmaketheshadow。Itsnatureandcolourislikethatfromtheoarsanditscauseisthesame,forthesprinklinghandcorrespondstotheoar。 Thatthecoloursoftherainbowarethosewedescribedandhowtheothercolourscometoappearinitwillbeclearfromthefollowingconsiderations。Wemustrecognize,aswehavesaid,andlaydown: first,thatwhitecolouronablacksurfaceorseenthroughablackmediumgivesred;second,thatsightwhenstrainedtoadistancebecomesweakerandless;third,thatblackisinasortthenegationofsight:anobjectisblackbecausesightfails;soeverythingatadistancelooksblacker,becausesightdoesnotreachit。Thetheoryofthesemattersbelongstotheaccountofthesenses,whicharethepropersubjectsofsuchaninquiry;weneedonlystateaboutthemwhatisnecessaryforus。Atallevents,thatisthereasonwhydistantobjectsandobjectsseeninamirrorlookdarkerandsmallerandsmoother,whythereflectionofcloudsinwaterisdarkerthanthecloudsthemselves。Thislatterisclearlythecase:thereflectiondiminishesthesightthatreachesthem。Itmakesnodifferencewhetherthechangeisintheobjectseenor。inthesight,theresultbeingineithercasethesame。Thefollowingfactfurtherisworthnoticing。 Whenthereisacloudnearthesunandwelookatitdoesnotlookcolouredatallbutwhite,butwhenwelookatthesamecloudinwateritshowsatraceofrainbowcolouring。Clearly,then,whensightisreflecteditisweakenedand,asitmakesdarklookdarker,soitmakeswhitelooklesswhite,changingitandbringingitnearertoblack。Whenthesightisrelativelystrongthechangeistored;thenextstageisgreen,andafurtherdegreeofweaknessgivesviolet。Nofurtherchangeisvisible,butthreecompletestheseriesofcolours(aswefindthreedoesinmostotherthings),andthechangeintotherestisimperceptibletosense。Hencealsotherainbowappearswiththreecolours;thisistrueofeachofthetwo,butinacontraryway。Theouterbandoftheprimaryrainbowisred:forthelargestbandreflectsmostsighttothesun,andtheouterbandislargest。 Themiddlebandandthethirdgoonthesameprinciple。Soiftheprincipleswelaiddownabouttheappearanceofcoloursaretruetherainbownecessarilyhasthreecolours,andthesethreeandnoothers。Theappearanceofyellowisduetocontrast,fortherediswhitenedbyitsjuxtapositionwithgreen。Wecanseethisfromthefactthattherainbowispurestwhenthecloudisblackest;andthentheredshowsmostyellow。(Yellowintherainbowcomesbetweenredandgreen。)Sothewholeoftheredshowswhitebycontrastwiththeblacknessofthecloudaround:foritiswhitecomparedtothecloudandthegreen。Again,whentherainbowisfadingawayandtheredisdissolving,thewhitecloudisbroughtintocontactwiththegreenandbecomesyellow。Butthemoonrainbowaffordsthebestinstanceofthiscolourcontrast。Itlooksquitewhite:thisisbecauseitappearsonthedarkcloudandatnight。So,justasfireisintensifiedbyaddedfire,blackbesideblackmakesthatwhichisinsomedegreewhitelookquitewhite。Brightdyestooshowtheeffectofcontrast。 Inwovenandembroideredstuffstheappearanceofcoloursisprofoundlyaffectedbytheirjuxtapositionwithoneanother(purple,forinstance,appearsdifferentonwhiteandonblackwool),andalsobydifferencesofillumination。Thusembroidererssaythattheyoftenmakemistakesintheircolourswhentheyworkbylamplight,andusethewrongones。 Wehavenowshownwhytherainbowhasthreecoloursandthattheseareitsonlycolours。Thesamecauseexplainsthedoublerainbowandthefaintnessofthecoloursintheouteroneandtheirinvertedorder。Whensightisstrainedtoagreatdistancetheappearanceofthedistantobjectisaffectedinacertainway:andthesamethingholdsgoodhere。Sothereflectionfromtheouterrainbowisweakerbecauseittakesplacefromagreaterdistanceandlessofitreachesthesun,andsothecoloursseenarefainter。Theirorderisreversedbecausemorereflectionreachesthesunfromthesmaller,innerband。Forthatreflectionisnearertooursightwhichisreflectedfromthebandwhichisnearesttotheprimaryrainbow。Nowthesmallestbandintheouterrainbowisthatwhichisnearest,andsoitwillbered;andthesecondandthethirdwillfollowthesameprinciple。LetBbetheouterrainbow,Atheinnerone;letRstandfortheredcolour,Gforgreen,Vforviolet;yellowappearsatthepointY。Threerainbowsormorearenotfoundbecauseeventhesecondisfainter,sothatthethirdreflectioncanhavenostrengthwhateverandcannotreachthesunatall。(Seediagram。) 5 Therainbowcanneverbeacirclenorasegmentofacirclegreaterthanasemicircle。Theconsiderationofthediagramwillprovethisandtheotherpropertiesoftherainbow。(Seediagram。) LetAbeahemisphererestingonthecircleofthehorizon,letitscentrebeKandletHbeanotherpointappearingonthehorizon。 Then,ifthelinesthatfallinaconefromKhaveHKastheiraxis,and,KandMbeingjoined,thelinesKMarereflectedfromthehemispheretoHoverthegreaterangle,thelinesfromKwillfallonthecircumferenceofacircle。Ifthereflectiontakesplacewhentheluminousbodyisrisingorsettingthesegmentofthecircleabovetheearthwhichiscutoffbythehorizonwillbeasemi-circle;iftheluminousbodyisabovethehorizonitwillalwaysbelessthanasemicircle,anditwillbesmallestwhentheluminousbodyculminates。 FirstlettheluminousbodybeappearingonthehorizonatthepointH,andletKMbereflectedtoH,andlettheplaneinwhichAis,determinedbythetriangleHKM,beproduced。Thenthesectionofthespherewillbeagreatcircle。LetitbeA(foritmakesnodifferencewhichoftheplanespassingthroughthelineHKanddeterminedbythetriangleKMHisproduced)。NowthelinesdrawnfromHandKtoapointonthesemicircleAareinacertainratiotooneanother,andnolinesdrawnfromthesamepointstoanotherpointonthatsemicirclecanhavethesameratio。ForsinceboththepointsHandKandthelineKHaregiven,thelineMHwillbegiventoo; consequentlytheratioofthelineMHtothelineMKwillbegiventoo。SoMwilltouchagivencircumference。LetthisbeNM。Thentheintersectionofthecircumferencesisgiven,andthesameratiocannotholdbetweenlinesinthesameplanedrawnfromthesamepointstoanyothercircumferencebutMN。 DrawalineDBoutsideofthefigureanddivideitsothatD:B=MH:MK。ButMHisgreaterthanMKsincethereflectionoftheconeisoverthegreaterangle(foritsubtendsthegreaterangleofthetriangleKMH)。ThereforeDisgreaterthanB。ThenaddtoBalineZsuchthatB+Z:D=D:B。ThenmakeanotherlinehavingthesameratiotoBasKHhastoZ,andjoinMI。 ThenIisthepoleofthecircleonwhichthelinesfromKfall。FortheratioofDtoIMisthesameasthatofZtoKHandofBtoKI。Ifnot,letDbeinthesameratiotoalineindifferentlylesserorgreaterthanIM,andletthislinebeIP。ThenHKandKIandIPwillhavethesameratiostooneanotherasZ,B,andD。ButtheratiosbetweenZ,B,andDweresuchthatZ+B:D=D:B。ThereforeIH:IP=IP:IK。Now,ifthepointsK,HbejoinedwiththepointPbythelinesHP,KP,theselineswillbetooneanotherasIHistoIP,forthesidesofthetrianglesHIP,KPIabouttheangleIarehomologous。Therefore,HPtoowillbetoKPasHIistoIP。ButthisisalsotheratioofMHtoMK,fortheratiobothofHItoIPandofMHtoMKisthesameasthatofDtoB。Therefore,fromthepointsH,Ktherewillhavebeendrawnlineswiththesameratiotooneanother,notonlytothecircumferenceMNbuttoanotherpointaswell,whichisimpossible。SincethenDcannotbearthatratiotoanylineeitherlesserorgreaterthanIM(theproofbeingineithercasethesame),itfollowsthatitmuststandinthatratiotoMI itself。ThereforeasMIistoIKsoIHwillbetoMIandfinallyMHtoMK。 If,then,acirclebedescribedwithIaspoleatthedistanceMIitwilltouchalltheangleswhichthelinesfromHandKmakebytheirreflection。Ifnot,itcanbeshown,asbefore,thatlinesdrawntodifferentpointsinthesemicirclewillhavethesameratiotooneanother,whichwasimpossible。If,then,thesemicircleAberevolvedaboutthediameterHKI,thelinesreflectedfromthepointsH,KatthepointMwillhavethesameratio,andwillmaketheangleKMHequal,ineveryplane。Further,theanglewhichHMandMI makewithHIwillalwaysbethesame。SothereareanumberoftrianglesonHIandKIequaltothetrianglesHMIandKMI。TheirperpendicularswillfallonHIatthesamepointandwillbeequal。 LetObethepointonwhichtheyfall。ThenOisthecentreofthecircle,halfofwhich,MN,iscutoffbythehorizon。(Seediagram。) NextletthehorizonbeABGbutletHhaverisenabovethehorizon。LettheaxisnowbeHI。Theproofwillbethesamefortherestasbefore,butthepoleIofthecirclewillbebelowthehorizonAGsincethepointHhasrisenabovethehorizon。Butthepole,andthecentreofthecircle,andthecentreofthatcircle(namelyHI) whichnowdeterminesthepositionofthesunareonthesameline。ButsinceKHliesabovethediameterAG,thecentrewillbeatOonthelineKIbelowtheplaneofthecircleAGdeterminedthepositionofthesunbefore。SothesegmentYXwhichisabovethehorizonwillbelessthanasemicircle。ForYXMwasasemicircleandithasnowbeencutoffbythehorizonAG。Sopartofit,YM,willbeinvisiblewhenthesunhasrisenabovethehorizon,andthesegmentvisiblewillbesmallestwhenthesunisonthemeridian;forthehigherHisthelowerthepoleandthecentreofthecirclewillbe。 Intheshorterdaysaftertheautumnequinoxtheremaybearainbowatanytimeoftheday,butinthelongerdaysfromthespringtotheautumnequinoxtherecannotbearainbowaboutmidday。Thereasonforthisisthatwhenthesunisnorthoftheequatorthevisiblearcsofitscourseareallgreaterthanasemicircle,andgoonincreasing,whiletheinvisiblearcissmall,butwhenthesunissouthoftheequatorthevisiblearcissmallandtheinvisiblearcgreat,andthefartherthesunmovessouthoftheequatorthegreateristheinvisiblearc。Consequently,inthedaysnearthesummersolstice,thesizeofthevisiblearcissuchthatbeforethepointHreachesthemiddleofthatarc,thatisitspointofculmination,thepointiswellbelowthehorizon;thereasonforthisbeingthegreatsizeofthevisiblearc,andtheconsequentdistanceofthepointofculminationfromtheearth。Butinthedaysnearthewintersolsticethevisiblearcsaresmall,andthecontraryisnecessarilythecase:forthesunisonthemeridianbeforethepointHhasrisenfar。 6 Mocksuns,androdstoo,areduetothecauseswehavedescribed。 Amocksuniscausedbythereflectionofsighttothesun。Rodsareseenwhensightreachesthesunundercircumstanceslikethosewhichwedescribed,whentherearecloudsnearthesunandsightisreflectedfromsomeliquidsurfacetothecloud。Herethecloudsthemselvesarecolourlesswhenyoulookatthemdirectly,butinthewatertheyarefullofrods。Theonlydifferenceisthatinthislattercasethecolourofthecloudseemstoresideinthewater,butinthecaseofrodsontheclouditself。Rodsappearwhenthecompositionofthecloudisuneven,denseinpartandinpartrare,andmoreandlesswateryindifferentparts。Thenthesightisreflectedtothesun:themirrorsaretoosmallfortheshapeofthesuntoappear,but,thebrightwhitelightofthesun,towhichthesightisreflected,beingseenontheunevenmirror,itscolourappearspartlyred,partlygreenoryellow。Itmakesnodifferencewhethersightpassesthroughorisreflectedfromamediumofthatkind;thecolouristhesameinbothcases;ifitisredinthefirstcaseitmustbethesameintheother。 Rodsthenareoccasionedbytheunevennessofthemirror-asregardscolour,notform。Themocksun,onthecontrary,appearswhentheairisveryuniform,andofthesamedensitythroughout。Thisiswhyitiswhite:theuniformcharacterofthemirrorgivesthereflectioninitasinglecolour,whilethefactthatthesightisreflectedinabodyandisthrownonthesunalltogetherbythemist,whichisdenseandwaterythoughnotyetquitewater,causesthesun’struecolourtoappearjustasitdoeswhenthereflectionisfromthedense,smoothsurfaceofcopper。Sothesun’scolourbeingwhite,themocksuniswhitetoo。This,too,isthereasonwhythemocksunisasurersignofrainthantherods;itindicates,morethantheydo,thattheairisripefortheproductionofwater。 Furtheramocksuntothesouthisasurersignofrainthanonetothenorth,fortheairinthesouthisreadiertoturnintowaterthanthatinthenorth。 Mocksunsandrodsarefound,aswestated,aboutsunsetandsunrise,notabovethesunnorbelowit,butbesideit。Theyarenotfoundveryclosetothesun,norveryfarfromit,forthesundissolvesthecloudifitisnear,butifitisfaroffthereflectioncannottakeplace,sincesightweakenswhenitisreflectedfromasmallmirrortoaverydistantobject。(Thisiswhyahaloisneverfoundoppositetothesun。)Ifthecloudisabovethesunandclosetoitthesunwilldissolveit;ifitisabovethesunbutatadistancethesightistooweakforthereflectiontotakeplace,andsoitwillnotreachthesun。Butatthesideofthesun,itispossibleforthemirrortobeatsuchanintervalthatthesundoesnotdissolvethecloud,andyetsightreachesitundiminishedbecauseitmovesclosetotheearthandisnotdissipatedintheimmensityofspace。Itcannotsubsistbelowthesunbecauseclosetotheearththesun’srayswoulddissolveit,butifitwerehighupandthesuninthemiddleoftheheavens,sightwouldbedissipated。 Indeed,evenbythesideofthesun,itisnotfoundwhenthesunisinthemiddleofthesky,forthenthelineofvisionisnotclosetotheearth,andsobutlittlesightreachesthemirrorandthereflectionfromitisaltogetherfeeble。 Someaccounthasnowbeengivenoftheeffectsofthesecretionabovethesurfaceoftheearth;wemustgoontodescribeitsoperationsbelow,whenitisshutupinthepartsoftheearth。 Justasitstwofoldnaturegivesrisetovariouseffectsintheupperregion,sohereitcausestwovarietiesofbodies。Wemaintainthattherearetwoexhalations,onevaporoustheothersmoky,andtherecorrespondtwokindsofbodiesthatoriginateintheearth,’fossiles’andmetals。Theheatofthedryexhalationisthecauseofall’fossiles’。Sucharethekindsofstonesthatcannotbemelted,andrealgar,andochre,andruddle,andsulphur,andtheotherthingsofthatkind,most’fossiles’beingeithercolouredlyeor,likecinnabar,astonecompoundedofit。Thevaporousexhalationisthecauseofallmetals,thosebodieswhichareeitherfusibleormalleablesuchasiron,copper,gold。Alltheseoriginatefromtheimprisonmentofthevaporousexhalationintheearth,andespeciallyinstones。Theirdrynesscompressesit,anditcongealsjustasdeworhoar-frostdoeswhenithasbeenseparatedoff,thoughinthepresentcasethemetalsaregeneratedbeforethatsegregationoccurs。Hence,theyarewaterinasense,andinasensenot。Theirmatterwasthatwhichmighthavebecomewater,butitcannolongerdoso:norarethey,likesavours,duetoaqualitativechangeinactualwater。Copperandgoldarenotformedlikethat,butineverycasetheevaporationcongealedbeforewaterwasformed。Hence,theyall(exceptgold)areaffectedbyfire,andtheypossessanadmixtureofearth;fortheystillcontainthedryexhalation。 Thisisthegeneraltheoryofallthesebodies,butwemusttakeupeachkindofthemanddiscussitseparately。 BookIV 1 WEhaveexplainedthatthequalitiesthatconstitutetheelementsarefour,andthattheircombinationsdeterminethenumberoftheelementstobefour。 Twoofthequalities,thehotandthecold,areactive;two,thedryandthemoist,passive。Wecansatisfyourselvesofthisbylookingatinstances。Ineverycaseheatandcolddetermine,conjoin,andchangethingsofthesamekindandthingsofdifferentkinds,moistening,drying,hardening,andsofteningthem。Thingsdryandmoist,ontheotherhand,bothinisolationandwhenpresenttogetherinthesamebodyarethesubjectsofthatdeterminationandoftheotheraffectionsenumerated。Theaccountwegiveofthequalitieswhenwedefinetheircharactershowsthistoo。Hotandcoldwedescribeasactive,for’congregating’isessentiallyaspeciesof’beingactive’:moistanddryarepassive,foritisinvirtueofitsbeingacteduponinacertainwaythatathingissaidtobe’easytodetermine’or’difficulttodetermine’。Soitisclearthatsomeofthequalitiesareactiveandsomepassive。 Nextwemustdescribetheoperationsoftheactivequalitiesandtheformstakenbythepassive。Firstofall,truebecoming,thatis,naturalchange,isalwaystheworkofthesepowersandsoisthecorrespondingnaturaldestruction;andthisbecomingandthisdestructionarefoundinplantsandanimalsandtheirparts。Truenaturalbecomingisachangeintroducedbythesepowersintothematterunderlyingagiventhingwhentheyareinacertainratiotothatmatter,whichisthepassivequalitieswehavementioned。Whenthehotandthecoldaremastersofthemattertheygenerateathing:iftheyarenot,andthefailureispartial,theobjectisimperfectlyboiledorotherwiseunconcocted。Butthestrictestgeneraloppositeoftruebecomingisputrefaction。Allnaturaldestructionisonthewaytoit,asare,forinstance,growingoldorgrowingdry。 Putrescenceistheendofallthesethings,thatisofallnaturalobjects,exceptsuchasaredestroyedbyviolence:youcanburn,forinstance,flesh,bone,oranythingelse,butthenaturalcourseoftheirdestructionendsinputrefaction。Hencethingsthatputrefybeginbybeingmoistandendbybeingdry。Forthemoistandthedryweretheirmatter,andtheoperationoftheactivequalitiescausedthedrytobedeterminedbythemoist。