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。ThenaddtoBalineZsuchthatBZ:D=D:B。ThenmakeanotherlinehavingthesameratiotoBasKHhastoZ,andjoinMI。
ThenIisthepoleofthecircleonwhichthelinesfromKfall。FortheratioofDtoIMisthesameasthatofZtoKHandofBtoKI。Ifnot,letDbeinthesameratiotoalineindifferentlylesserorgreaterthanIM,andletthislinebeIP。ThenHKandKIandIPwillhavethesameratiostooneanotherasZ,B,andD。ButtheratiosbetweenZ,B,andDweresuchthatZB: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。
第3章