e-Perimetron ,Vol.3,No.3,2008[146160] www.eperimetron.org| ISSN17903769 ChryssoulaBoutoura*

On the map projection of Rigas Velestinlis Charta (*)

Keywords :RigasVelestinlis;Rigas Charta ;Greekenlightenment; Eighteenthcenturycartography;mapprojections;Delislemaptradition.

Summary ThecartographicworkofRigasVelestinlis,themajorfigureoftheGreekEnlightenmentandan activistoftheGreekResurgenceinthelateeighteenthcentury,isnotwellknownintheinterna tionalcartographicliterature,despitethefactthathismasterpiecethetwelvesheet Charta (1797) isoneofthemostinterestingcartographicproductsoftheperiod.Thefewexistingrelevantrefer encesinthenonGreekbibliography,almostexclusivelyinFrench,describe Charta mainlyasan intellectual work rather than a real cartographic product, from the scientific and technological pointsofcartographicview.Thispaperdescribesandexplainsforthefirsttimeanimportantcon stituentofRigas Charta asitistheprojectionofthemapanditsframingofgeographicmeridians andparallels.DepartingfromthedominantatthattimeDelislecartographicrepresentationmodels (Delisle,1700;Senex,1721;Blair,1768;Lotter,1778;Delisle,1794,etal.),theDelislemappro jectionisimplementedinthestudyofRigasmapprovingthatdespitethefactthathis Charta fol lowsthegeographiccontentaccordingtoDelislemappingparametrization,itsgraticuleframingis erroneouslytraceddeviatingtheDelisle’srelevantstandard.

Introduction RigasVelestinlisisoneofthemajorfiguresofGreekEnlightenmentandatopactivistoftheGreekRe surgenceinthelateeighteenthcentury 1.Anativeof,wasbornin(1757)andedu catedattheneighbouringAmpelakia,aprosperoustown pioneeredanearly cooperative experience 2, beforedepartingforhisgreatpatrioticadventureduringashortlifeendedwithhisassassinationatBel gradein1798.SpendingsometimeinHolyMountAthosand,heestablishedinBucha rest and became familiar to the French revolutionary ideals anda firm supporter of the struggle for GreekindependenceagainsttheOttomanrule,designingageneralpoliticalprojectconcerningtheBal kans.Inhestartedalsohiscartographicprojectincludingthepreparationofhismajorcarto graphicwork,theCharta 3 printedlaterin 4.Activistin,hespentthelastyearsofhislife *Professorofdigitalcartography,AristotleUniversityofThessaloniki.[[email protected]] (*) AfirstversionofthispaperappearedinGreekattheseminar Rigas Charta in the Digital World atThessaloniki(11 November 2007; http://cartography.web.auth.gr/Righas/Affisetta.pdf; http://cartography.web.auth.gr/ Righas/Programma_Hmerida.pdf)underthetitle Tests related to the map projection of Rigas Charta organizedbythe FacultyofSurveyingEngineering,AristotleUniversityofThessalonikiintheframeoftheinitiativededicatedtothe “cartography”ofRigas Charta underthetitle:“2007–Righas Charta Year The cartographic masterpiece of Greek Enlightenment |Celebratingthe250yearsfromthebirthofRighasVelestinlis”(http://cartography.web.auth.gr ). 1Intheolderbibliographyhisfirstnameappearsalsoas“Righas”.ForanintroductoryroughreferenceonRigasVeles tinlis see e.g. http://en.wikipedia.org/wiki/Rigas_Velestinlis in English or the more extended in French http://fr.wikipedia.org/wiki/Rigas .AlsoseeE.M.Edmonds,1890:Rhigas Pheraios, ;RizosNeroulos,1829:His- toire de la révolution grecque, andthemorerecentC.M.Woodhouse,1995:Rhigas Velestinlis: The Proto-martyr of the Greek Revolution ,DeniseHarvey. 2ForthepioneeringcooperativeexperienceofAmpelakia,knownin18 th centuryEurope,seetheintroductorygeneral referencee.g. http://en.wikipedia.org/wiki/Ampelakia,_Larissa . 3“Χάρτα”inGreek,sometimesisalsowrittenas“Carta”. 4 His cartographic work before Charta includes two minor maps of the region of “Moldowallachia” ( and )enjoyingasortofautonomyfromtheOttomanrule. [146] e-Perimetron ,Vol.3,No.3,2008[146160] www.eperimetron.org| ISSN17903769 inVienna 5wherehedevelopedhispublishingagendarelatedtohispolitical,literature,scientificand cartographicprojects.Amongtheseprojectshismonumental Charta becamefatal.Followinghisarrest inandhisinterrogationinVienna,Charta wasthecentraldocumentonwhichtheinterrogation wasfocusedforprovinghispresumedrevolutionaryactivism 6.FromVienna,Rigasandhiscompanions weretransferredtounderOttomanrulewheretheyassassinatedin1798.Hewasintheageof 41. TheimpactofRigascontributioninthestrugglefortheGreekindependenceisfundamentalinthehis tory of modern . Especially his Charta is considered a milestone and the existing copies in GreeceproclaimedbytheMinistryofCultureasnationalmonumentsin1997ontheoccasionofthe200 anniversaryfromitspublishinginVienna.In1998afirstpurelycartographicapproachwasattempted 7 fromthepointofviewmoderncartographicmethodologyfromwhichthespecializedlatercartographic researchesonChartagetstarted. InthenonGreeklanguageliterature 8,thecontributiononRigasworkismainlyconcentratedonhistori calandpoliticalaspects9.Dedicatedstudieson Charta areindeedlimited,partialandmostlyinFrench, comingalmostallfromthepointofviewofhumanistic 10 . Actually, the international carto graphiccommunityknowsveryfewaboutthe“realcartography” 11 ofthismanyvaluedmap.Thelast nonGreekpublishedworkon Charta wasfewyearsagobyJ.Y.GuiomarandM.Th.Lorainagainin French 12 andfocusedmainlyonthe“thematic”content 13 ofthemap. In2007,celebratingthe250yearsanniversaryfromthebirthofRigas,afocusedGreekinitiativehas startedattheAristotleUniversityofThessalonki 14 whereoneofthesurvivedcopiesiskeptattheUni versityLibrary.Amongtherelevantprojects,anewdigitalapproachtothecartographyofRigas Charta

5AnumberofplacesinViennarecalleventodayRigas’presenceandactivitiesthere,justfewhundredmetresfromthe centerofthecity.Inthenarrowstreetofthe(Griechengasse),intheGreektavernatthetime(theGriechen Beiseltoday)andinthetwoGreekOrthodoxchurches,theHolyTrinityandthefewmetresawaySt.Georgethenewer churchfrequentedbyRigasandtheGreeksoptedforthepotentialuprisingoftheGreeksundertheOttomanruleatthe late18 th century. 6SeeLegrand,E.1892: Documents inédits concernant Righas Velestinlis et ses compagnons de martyre, Paris. 7InthelastchapteroftheworkinGreekbyE.Livieratos,1998: A tour in cartography and maps from the Ionians to Ptolemy and Righas, Thessaloniki:NationalCentreforMapsandCartographicHeritageanditsnewrevisedandup datededitionbyE.Livieratos,2007: Twenty five centuries od cartography and maps. A tour from the Ionias to Ptolemy and Righas, Thessaloniki:ZitiEditions. 8FortheearliestpublishedseeNicolopoulo,C.,1824: Notice sur la vie de Rhigas, Paris. 9Here,tworecentreferencesaregivenselectivelyinSpanishe.g.,J.RubioCarracedo,1999:La«NuevaConstitución Política»deRigasVelestinlis,Revista de Estudios Políticos (NuevaÉpoca),Núm.105,JulioSeptiembre,295308and M.LopezVillalba,2003: Traducir la revolucion: Nueva constitucion politica de Rigas de Velestino, Madrid:CSIC. 10 GenericreferencescouldbefoundinaremoteperiodbyanAnonyme,1861:Magasin Pittoresque ,ParisandbyJ.H. A.Ubicini,1881:La Grande Carte par Rhigas ,Paris.Alater mentionis givenagaininFrenchinbetweenthetwo WorldWarsbyA.Dascalakis,1937:Les oeuvres de Rhigas Velestinlis ,Paris. 11 Withthistermitisintendedtheapproachfromthestandpointoftheandtechnologyofmapconstructionasit isunderstoodinthedisciplinesofmappingsciencesandofmapmaking. 12 J.Y.GuiomaretM.Th.Lorain(2006),LacartedeGrècedeRigasetlenomdelaGrèce, Annales historiques de la Révolution française ,Numéro319,[Enligne],misenlignele:11mai2006.URL:http://ahrf.revues.org/document106.html.Con sultéle24juin2008. 13 Forthedistinctionbetweenthe“thematic”andthe“geometric”mapcontentsandotherrelevantissuesseethestan dardbibliography,e.g.thesixtheditionofArthurRobinson’slegendarycartographicmanualonCartographyfirstpub lishedin1953:A.H.Robinson,J.L.Morrison,P.C.Muehrcke,A.JonKimerling,S.C.Guptill,1995: Elements of Cartography, JohnWiley. 14 TheFacultyofSurveyingEngineeringtooktheinitiativeorganizingaseriesofeventsdedicatedmainlytothe“car tography” of Rigas Charta under the title: “2007 – Righas Charta Year The cartographic masterpiece of Greek Enlightenment |Celebratingthe250yearsfromthebirthofRighasVelestinlis”(http://cartography.web.auth.gr ). [147] e-Perimetron ,Vol.3,No.3,2008[146160] www.eperimetron.org| ISSN17903769 isinvolvingAristotleUniversity 15 ,theHellenicNationalResearchFoundation 16 andtheNationalBank ofGreeceCulturalFoundationin 17 ,theMunicipalLibraryofthecityof 18 ,theSylviaIo annouMapCollectioninAthens 19 andtheColorConsultingGroupofThessalonikiprovidingexpertise inhighqualitydigitizinganddigitalcolourkeeping 20 .Sincethenanewresearchimpulseisgivenabout thecartographyofRigas Charta enrichingaswellthenonGreeklanguageliteratureontheissueand lookingforinternationalpartnershipbecauseanumberofsurviving Charta copiesarekeptinvarious librariesabroad 21 .

About the map

Rigas’majormap,the Charta (ofGreece)22 ,isatwelvesheetmapofca.200X200cmoveralldimen sionscoveringthegreat,foritstime,areaof4squaremetres.Thesheetsinca.1:600.000scale 23 en gravedbyFranzMüller 24 andprintedinViennaon“Elephant”paper(eachofca.70X50cm)arear rangedthreetothelongitudinaldirectionandfourtothelatitudinaldirection,numberedfrom1to12 (Fig.1).TheNo.1sheetdepictingConstantinopleandthesurroundingswithabirdeyeviewofthecity waspublishedseparatelyayearbeforethepublishingoftheotherelevensheets(1797). Sincethepurposeofthisworkisnotthe“thematiccontent”ofthemapandtherelevantsemanticsas well as the symbolisms and the ideological messages emitted cartographically from this content, we limitourselveshereinthesocalled“geometriccontent”whichdealsmainlywiththeshapeofthecoast line,themapprojectionandtheabsoluteand/orrelativepositioningofcartographicallyrelevantpoints onthemapsurface. Inanystudydealingwiththeprojectiveunderlyingofanoldmap,itisimportantthedepictionofthe gridofmeridiansandparallels.Theformofthecartographicgraticuleisdefinedfromanddefinesthe systemofprojectioninuse.Inaddition,theprojectioninuseinfluencestheformofthegeometriccon 15 TheresearchisfocusedontheRigas Charta cartographyapproachingtheissuefromthecartographicscienceand technology point of views (map construction, map projection, map geometry and thematic content, map toponymy, comparativestudiesonthemapcontentapplyingbestfitting,comparativestudieswithmodelandderivedmaps,stitch ingproblemsofmapsheetsandsheetcutting,etc.) 16 Dr.GeorgeToliasisstudyingRigas Charta cartographyapproachingtheissuefromthehumanisticsciencespointof view. 17 ARigas Charta copyiskeptintheCulturalFoundation’s“CartographyArchiveoftheHellenicSpace–MelasMap Collection”. 18 ARigas Charta copyiskeptinthe“KoventareiosMunicipalLibraryofKozani”associatedinajointresearchproject withtheAristotleUniversityofThessaloniki. 19 ARigas Charta copyiskeptinthisprivatecollectiondigitizedproperlyinhighqualitygeometryresolutionandcol ourfidelity(byColourConsultingGroupofThessaloniki). 20 CCG – Colour Consulting Group ( http://www.ccg.gr ) is sponsoring the Rigas Charta project implying a CRUSE CS22OSTFineArtSpecialdigitizerandconsultancyondigitalcolourkeeping. 21 Abouttwentymaps,almost2%ofthetotalpublishedin1796and1797inVienna,aresurvivingtodayinGreece (Athens,Thessaloniki,Kozani,Ampelakia,Kapesovo,isl.,Androsisl.)andaroundtheWorld.Accordingtoour knowledge,copiesofRigas Charta arekeptintheAustrianNationalLibraryatVienna(ÖNB),intheNationalLibrary ofatParis(BNF),intheBritishLibraryandtheLibraryoftheRoyalGeographicSocietyatLondon,intheLi braryofHarvardUniversityatCambridgeMassachusetts,intheSerbianNationalLibraryatBelgradeandintheRoyal LibraryatStockholm(KB). 22 “ChartaTesHellados”.Thelengthycompletetitleis 23 E. Livieratos indicated a scale variation from 1:650.000attheeastandwestedgesofthemapto1:600.000 and 1:550.000atthesouthandnorthedgesrespectively. 24 Writtenas“Francois”inGreek(ΦρανσουάΜήλερ).FranzMüllerisalsotheengraverofRigas’twopreviousmapsof Moldowallachia (MoldaviaandWallachia)andofanother mapofGreece, by Anthimos Gazis “Geographic Table” (“PinaxGeographicos”)printedinViennain1800(asecondeditionin1810). [148] e-Perimetron ,Vol.3,No.3,2008[146160] www.eperimetron.org| ISSN17903769 tentofthemapandofitsdominantgeographicshapesasitisthecoastlinewhichinthecaseofGreece isratheremblematicinshape.Basedontheseassumptionsinthisworkitisattemptedtheapproachof RigasCharta mapprojectionbyacomparativeanalysisofthesameperiodmapswithrespecttotwo basicmapelements:a)themapgraticuleandb)thegeometricgeographicmapcontent,aswellasthe degreeoftheircompatibilitysincebotharedependedontheadoptedprojectivesystem.

Figure1.Rigas Charta, thealmostfoursquaremetres(~200X200cm)map,intwelvesheets . Thesheetnumberingbytheauthorruns fromNo.1(thesheetdepictingConstantinople)toNo.12eastwards. Thebasicstartindesigningandstudyingthesystemofprojectionespeciallyofoldmapsistheoriginof coordinates,basicallythisofthegeographiclongitude.AsitistodayGreenwichmeridiantheoriginof longitudes,inthe18 th and19 th centurymapsitwascommontheuseoftheFerroislandmeridian(ac cordingtothePtolemaictradition)in17degreesand45minuteswestofGreenwich.Accordingtothe definitionoforiginofthesetwomeridians,atthecentralpartofGreecethemeridianfromGreenwich reads24degreesandthemeridianfromFerroreads41degreesand45primes(Fig.2).Inthisstudythe projectionofRigas Charta isinvestigatedwithrespecttothemapstandardsoftheperiod,aswellasthe compatibility of the coastline and of the geometric – geographic content with respect to the map graticule. TheareadepictedinRigas Charta (Fig.3)isthewindowofthesurfaceoftheearthdefinedbetweenthe parallelsfrom35to45degreesandthemeridiansfrom32degreesand45primesto47degreesand45 primesfromFerromeridian,whichcorrespondto15to30degreeslongitudefromGreenwich.

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Fig.2.ThecentralmeridianofGreecereads24degreeslongitudefromGreenwichmeridianand41degreesand45primesforthe Ferromeridian.

Fig.3.ThegeographicwindowofRigas Charta ontheearthsurfacedefinedbetweentheparallelsfrom35to45degreesandthe meridiansfrom32degreesand45primesto47degreesand45primesfromFerromeridian,whichcorrespondto15to30degrees longitudefromGreenwich.

The relation of Charta with the Delisle projection standard Asitisstatedintheliterature 25 ,Rigas Charta followsapparentlytheDelislecartographicstandard.The reference is based mainly onempirical observation of Rigas depiction of the coastline and on some toponymyevidence.Uptonow,nosystematicinvestigationhasbeendoneconcerningtheprojective propertiesof Charta asitisunderstoodinthemapprojectiontheoryandpracticewithinmathematical cartography. Here,afterthemapframingof Charta westudyitsprojectionpropertiesbysearchingthedegreeof compatibilityofthecoastlineandofthegeometriccontentwithrespecttotheimageshapeoftheme ridiansandtheparallelsonthebasisoftheDelisleprojectionsystem. 25 TheapparentrelationofRigas Charta withDelislecartographicstandardisalreadymentionedintheGreeklanguage literature.GuiomarandLorain(2006)mentionalsotheevidence. [150] e-Perimetron ,Vol.3,No.3,2008[146160] www.eperimetron.org| ISSN17903769 The Delisle map standard Inthelate18 th centurywhenRigaspreparedhisCharta, theDelislemapstandardwithoriginsatthe beginningofthecenturywasdominantincartography,associatedwiththeFerrozeromeridianandthe homonymousconicmapprojection,asitisshown(Fig.4)inoneofhisearly18 th centurymaps(1707).

Fig.4.Anearly18 th centurymapofEuropebyDelisle(1707)designedinhishomonymousconicmapprojection. UsingtheknowndefinitionofDelisle’smapprojection 26 itcanbeeasilydesigned,givenarelevantde taileddigitalfileofthecoastline,theactualshapeofEuropeintroducingthe30and60degreesparallels asstandardparallelsandthe12degreesmeridianasthecentralmeridianoftheprojection.Theresultis showninFig.5withtheFerrozeromeridianinredandthestandardparallelsandthecentralmeridianin pink.

Fig.5.TheactualcoastlineofEuropemappedintheDelisle’sconicprojection.Inpinkthetwostandard30and60degreesparallels andthe12degreesmeridian.InredtheFerrozeromeridian. FittingtheDelisle1707map(Fig.4)intotherelevantactualgridandcoastlineinDelislemapprojection (Fig.5)byusingpropermathematicaltools 27 weobtainaperfectagreementbothinthemapgridand thecoastlineofthetwomapsasitcanbeseeninFig.6.

26 See,e.g.,E.GrafarendandF.Krumm,2006: Map projections, Springer. 27 C.BoutouraandE.Livieratos,2006:Somefundamentalsforthestudyofthegeometryofearlymapsbycomparative methods, e-Perimetron, Vol.1,No.1,6070. [151] e-Perimetron ,Vol.3,No.3,2008[146160] www.eperimetron.org| ISSN17903769

Fig.6.ThebestfittingofDelisleearly18 th centurymapofEuropetotheactualgridandrelevantcoastlineinDelisle’smapprojec tion

Maps following the Delisle’s map standard DelisleproducedavarietyofmapsrepresentingGreeceandthesurroundingareaasthesealmostidenti cal,withdifferenttitleformat,depictedinFig.7. ButthegeographicwindowoftheDelislemaps,throughoutthe18 th centuryvaryaccordingtotherepre sentationofthearea,andtherealchallengehereistoknowwhatspecificmapwasactuallyusedbyRi gastoconstructhis Charta. ThequestionbecomesmorecomplicatedsinceonDelislemaptypologyand standardswehaveanumberofmoremapsmadebyothercartographersinthecourseofthecentury. EvenifthewindowofRigas Charta approximatespartiallytheareaoftheDelislemap,alsofrom1707 (Fig.8,left),the Charta ’swindowlooksclosertoamapbySenexfrom1721(Fig.8,right)anobvious Delisle’sderivativeasfarasthegeometriccontentandthemapgridisconcerned.Foraninteresting commentonthecartouchesdepictedonbothmaps 28 seeFig.9.

Fig.7.G.Delisle:TwoalmostidenticalmapsrepresentingGreeceandthesurroundingarea.Theydepictthegeographiccorrespon denceoftheByzantinespatialadministration. 28 Observetheidenticalcartouchesrelatedunderahorizontalflip.ThecartoucheinSenexmapiscompletewhilstthe oneinDelislemapisnot. [152] e-Perimetron ,Vol.3,No.3,2008[146160] www.eperimetron.org| ISSN17903769

Fig.8.Left:AmapbyDelisle(1707).Right:AmapbySenex(1721).

Fig.9.Left:ThecartoucheinDelislemap(1707).Middle:ThecartoucheinSenexmap(1721).Right:ThehorizontalflipoftheSe nexmapcartouche.IngreyrectangleisthemissingpartoftheimageintheDelislemapcartouche.

Fig.10.Themeridianof46degreesand45primefromFerroinDelislemap(left)andthe29degreesmeridianfromGreenwichin Senexmap(right)arebothpassingfromConstantinople.ThelongitudedifferenceisexactlythatbetweentheFerroandtheGreen wichzeromeridians. [153] e-Perimetron ,Vol.3,No.3,2008[146160] www.eperimetron.org| ISSN17903769

Fig.11.ThemapbyBlair(1768)wherethegeographicgridisentirelydrawnrepresentsalargeareadepictedinRigas Charta. The zeromeridianisFerro.

Fig.12.Right:ThedigitalfitofBlair’smap(1768)toamoderncounterpartdrawninDelisleprojection(inblue).Left:Thedigitalfit ofDelisle’smap(1707)toamoderncounterpartdrawninDelisleprojection(inblue). Thedigitalbestfittinganalysisofthetwomapsalsoconfirmsthattheoverallcontentgeometryofboth isidentical.AsitisshowninthedetailsofbothmapsshowninFig.10,eveniftheoriginofthelongi tudesinbothmapsisdifferent,46degreesand45primesfromFerrozeromeridianinDelislemap,29 degreesfromGreenwichzeromeridianinSenexmap,thecorrespondenceofthemapcontentisidenti cal,namelyConstantinople,theemblematicmajorcityinthe Charta projectionanalysisaswewillsee later,alsodepictedinaseparate Charta mapsheet(No.1). ThemapbyBlairfrom1768(Fig.11),wherethegeographicgridisentirelydrawn,representsalarge areadepictedinRigas Charta. FittingdigitallythismaptoamoderncounterpartdrawninDelislepro jection(Fig.12,Right,theactualgridinblue)weobserveagoodagreementofthegridandofthegeo metriccontentwithoutasignificantdeformationoftheoriginal.Thesameholdsforthe1707Delisle map(Fig.12,Left,theactualgridinblue).

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Fig.13.Right:TheLottermapfrom1778intwosheets( Graecia pars settentrionalis and Graecia pars meridionalis )withacom pletedrawngridisaperfectcopyofDelislemapalsointwosheetsfrom1700andits1794copy(left),withthegridvaluesonly aroundtheframe.ObservethatinbothcasestheeastsideframelineispassingfromConstantinople.

Fig.14.ThealmostidenticalcartouchesinthetwosheetsDelisle’smap(left)from1700andits1794copyandintheLotter’stwo sheetsmapfrom1778(middle).NotethesimilaritiesinthecartoucheofRigas Charta (right). TheLottermapfrom1778intwosheets( Graecia pars settentrionalis and Graecia pars meridionalis )is aperfectcopyofDelislemapalsointwosheetsfrom1700andits1794copy(Fig.13).Eventhecar touchesinbothmapsarealmostidentical(Fig.14,leftandmiddle)withimpressivesimilaritieswiththe cartoucheinRigas Charta (Fig.14,right).Hereweshouldunderlinethattheeastsideframelineofboth mapsispassingfromConstantinople.Thislineisnotofcoursethetraceofameridianbutaswewillsee later,mayplayedacrucialroleintherelevantframingof Charta designedbyRigas .

The projection in Rigas Charta

RigasCharta isamapofthesameperiodapparentlybasedonsomeofthepreviousmaps.Itsgridval uesoflongitudefromFerrozeromeridianandoflatitudearewrittenontheframeofthemap(Fig.15, left).Rigasdidnottracethemeridiansandtheparallelsonthemapsurface;wediditempiricallyforthe shakeofthestudy(Geographicgrid).Thecoastline(Fig.15,right)looksdetailedandthemapcontentis rich. LetusseenowtherelationofCharta’s grid,thecoastlineandthemapcontentinrelationtotheprevious maps.FocusingontheareaassociatedtothecitywhichpresumablywasthemostimportanttoRigas, thatisConstantinople,thereferencepointfortheGreeks,weobservethatthe46degreesmeridianin [155] e-Perimetron ,Vol.3,No.3,2008[146160] www.eperimetron.org| ISSN17903769 Charta passesfromthatcitydespitethefactthatinall other maps passes almost half degree west wards 29 .Itispossibletomakethehypothesisthatthiserrorwastheresultofaconfusionrelatedtothe rightlineedgeoftheframingpassingfromConstantinopleasitwasdesignedonthemapsusedbyRi gasfordrawing Charta. Therightedgelinewastakenastheimageofthe46degreesmeridian.Butalso intheparallelsdepictionanalmosthalfdegreedisplacementisevident.Ahypothesiscanbealsoex pressedherethatRigasmayintensivelywaswronginchoosinganintegerlongitudeforConstantinople optingforthesymbolismratherthanforthemapprojectionreliability.

Fig.15.Rigaswritesthelongitudes(fromFerrozeromeridian)andthelatitudesontheframeofthemapwithouttracingthegeo graphicgrid.Hereitisdoneempirically(left)fortheshakeofthestudy.Thecoastline(right)isdetailed. Neglectingthisimportantparticularitywhichhastodowith Charta ’sgridofmeridiansandparallels,a bestfittingprocess 30 ofitscontenttoDelisle’scounterpartisapplied.Thefittinggivesanexcellentre sultwiththeexceptionofCorfuwhichapparentlywas copied by Rigas, for his own 31 , from othersources.ThefittingshowsaperfectagreementwithDelislemapstandardconcerningtheshape andtheabsoluteandrelativespatialpositioningofCharta ’sgeometricmapcontent(Fig.17). ThesameholdsfittingCharta toBlair’smap(Fig.18).Acloserlookshowsthatthoughthemapgeo metriccontentofthetwomapsisalmostthesameandarelevantgridinDelisleprojection(inblue)co incidestothatofBlair’smap,theRigas Charta gridfollowsthemeridianpatterninthecentralpartof Greecebutdeviatesconsiderablyattheedges.Whatreallyhappenedhere?Mostprobably,thestrong focusingofRigasonthemapcontent,theextendeddimensionsofCharta andthecopyingtechniquesin amuchlargerscalewhichprobablywereimplemented32 ,leadtotheerroneousdrawingofthegrid.Ob viouslyRigasdesignedanimpressivemap,asfarasthegeometricandespeciallythethematiccontentis concernedbutmostprobablywasnotsofamiliarwithmapprojections. ThegoodpointwiseapproximationofthegeometricmapcontentofRigas Charta tothatoftheDelisle standardcanbebettershownusingatwowindowdigitalnavigationtool 33 forthevisualizationofan onetoonecorrespondencebetweenapairofmapsundercomparison(Fig.19). 29 ThiswasfirstreportedbyE.Livieratos 30 BoutouraandLivieratos,2006. 31 Thereisnoreferenceonthisinthecurrentliterature. 32 RecentlyEvangelosLivieratosmadethehypothesisofapantographassistedcopyingbyRigasofaDelislestandard map,oracombinationofmapsofDelislestandard,enlargingtheoriginalscaleinthepantographcopyingprocess.See, E.Livieratos,2007:“Cartographic”issuesinRigas Charta (inGreek),invitedpresentationattheSymposiumCharta tou Riga Feraiou 1797-2007 (RigasFeraiosCharta17972007),BankofCyprusCulturalFoundation,Nicosia,27Oc tober2007[alsoin: http://cartography.web.auth.gr/Livieratos/Rigas_Nicosia.pdf ]. 33 Thisdigitalvisualizationtoolwasdevelopedin2001byFrancescoGuerraandhisgroupatCIRCE,UniversityIUAV ofbyapplyingmorphingtechniques. [156] e-Perimetron ,Vol.3,No.3,2008[146160] www.eperimetron.org| ISSN17903769

(a)(b)(c) (a)(b)(c) Fig.16.Left:Rigasin Charta writeshis46degreesmeridian(fromFerro)passingfromConstantinople(a).Intherelevantmapsby Delisle(b)andLotter(c)theline(lookingasmeridian)passingfromConstantinopleisnothingbuttheright(east)sideofthemap. Right:The46degreesmeridianandthe41degreesparallelinRigas Charta (a)andthe46degreesmeridianandthe41degreesparal lelinDelisle(b)andinLotter(c)map.Thedifferencein Charta ishalfdegreeeastwardsforthe46degreesmeridianandhalfdegree northwardsfortheparallel.

Fig.17.Left:PartoftheDelislemapsheet Graecia pars settentrionalis.Right:TheRigas Charta bestfittedtoDelisle’sstandard. WiththeexceptionoftheislandofCorfu(ingreentransparency)theagreementisalmostperfect.

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Fig.18.The Charta bestfittingonBlair’smapofDelislestandard;thefittingoftheDelisleprojectiongridofmeridiansandparallels onBlairmapandthedeviationofthemeridiansreferredto Charta towardsthemapedges.

Fig.19.TwoexamplesofthepointwisevisualizationoftheapproximationofthegeometriccontentofRigas Charta (leftimage)to aDelislestandardmap(rightimage)usingatwowindownavigationdigitalvisualizationtool.

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Conclusions InthisstudyitisexaminedforthefirsttimetheprojectivecharacterofRigasVelestinlis Charta inasso ciationwiththecompatibilityof Charta ’sgeometricmapcontent,namelythecoastlineshapeandthe pointpositioningofthecontent,withothermapspresumablyusedbyRigasindesigninghismonumen talwork.ItisconfirmedanalyticallythattheRigasCharta belongstotheDelislemapstandardwhich wasverypopularatthetimeCharta waspublished(actuallyinthewholecourseof18 th century). Themapsbasedonthisstandardarequitesimilarbothinthegrid(eveniftheoriginoflongitudesare differentreferringeithertoFerroortoGreenwichmeridian)andinthegeometricmapcontent. Charta’s geometricmapcontentiscompatibletoavarietyofmapsbelongingtotheDelislemapfamilywithonly adeviationinthedrawingofthegridwhichappearsonlyonthemapframeasitisthecaseofmost mapsusedinthisstudy.Inthecaseofthegridwhichobviouslyreflectstheprojectivepropertiesofthe mapitisevidentafterthisanalysisthatthegridin Charta doesnotfollowthegeometriccontentofthe map.Itsgraduationinlongitudeandinlatitudeitiserroneouslyplacedalongtheframeofthemapwith lessdeviationsintheareaofthemeridianpassingfromthemiddleofthemapsurfaceandlargerto wardstheedges. ThemostspectacularisthewrongmeridianassignedtoConstantinople,theemblematiccityinRigas Charta,towhichisgiventhevalueof46degreesforthelongitudefromFerro,insteadofthecorrect value46.5degrees.Aninterpretationforthiserrorisgivenrelatedeithertothemisapprehensionofthe rightedgelineofthemapframingpassingfromthatcityinanumberofDelislestandardmapswhich wereapparentlyusedasoriginalsortoideologicalmotivationbyassigninganintegervaluefortheCon stantinoplemeridian,moreappropriatetothegloryofthiscity. Acknowledgements TheimageofRigas Charta usedinthisstudyderivesfromtheoriginalcopyintheLibraryoftheAris totleUniversityofThessaloniki.OtherimagesofmapsoftheDelislestandardusedherearefromthe MargaritaSamourkaMapCollection.

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