第3章

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。