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XWIlO 1l0AOKO Tpi13eTOl KClTW an' TO YUIlVa TO ntAIlOTo, 0llKWvnOl OKOVll. Mtoo at OlliXAll XWllaTlVll, aKOVTlO piXVOVTOl Koi OOpOTO oi~ouv, On081a OIOOTOUPWVOVTOl Koi KAOyya~ouv, KAOYYll nepOlKwv on081wv Koi TOeKouplwV tnavw OTic; oTpoyyuMC; 130peltc; aonioeC;. 'EMllVlKa On081a KPOTOOV unOKWO navw OTiC; KOA08onAeKTec; aonioeC;. 'AIlI3Mc; llXOC;, IlnOMlKOC; llX0C;, nAllllllUpi~el il neOlOOO an' OUTOUC;. To nepOlKo KtVTPO novioxupo Ilt TOUC; ntpoec; Koi L:aKKOC;. Oi L:aKKOl opoOv Kupl3ooiec; op8tc; Ilt IlUTePll OKPll, avo~upioeC;, KPOTOOV ot TO TO~O, OTllV IltOll KptllOVTOl TO tyxelpiolO tniollC; Koi OOyapelC; (TOeKouplo). 'OXA0I301l ana KpOUytC; tMllVlKtC; Koi 130pl3oplKtc;, aOTPOTOUV oi xpuoonAoullloTec; oTOMC; TWV nepowv Kl oi tMllVlKtC; novonAiec;, .. To OOUVOIlO OKPO TWV nepowv apXi~ouv va unoxwpoOV OloAuolleva TptxoVTOC;. 0tAOUV va Kepoioouv anOOTOOl Yla va ~ovOllnoxel PIOTOOV TO onAO TOUC; TO KOTOAAllAO Yla llaXll t~ anOOTOOeWC;. ~loonolltvo TO nePOlKa OKPO ana TiC; aMmaMllAeC; aVOTpOntc; 010oKopni~oVTOl npoc; TllV 8aAOOOO. "HOll TO apOlO tMllVlKO KtVTPO OV Koi llaXnOl yevvolo aVOYKa~nOl va unoxwpel Olya-Olya YlOTi aVTlIlnwni~el TO KoMiTepo TIll'iIlO Tl'iC; nepOlKl'iC; OTpOTela.c;, TO mo O~IO1l0XO, TO ioxupo KtVTPO ana ntpoec; Koi L:aKKOC;. To tAAllVlKO KtVTpo unoxwpel apyo, npoon08el va 1l1lv xooel TllV tnoil Ilt TOV tx8po, wOTe va Ilnoxelpi~nOl TO Of1AO nou dvOl Yla TllV llaXll OWIlO Ilt OWIlO. Oi onAlTec; npootxouv va 1l1lV yupi~ouv TllV a8WpaKlOTll nMTll TOUC; OTOV tx8po. Ol aPOlOnOPOTnOYlltvOI OnAlTec; TOO KtVTPOU omo8oxwpoOV npoc; TO IlWoyelo Tl'iC; neOlOOOC;. 'Ev T4J lleTO~U oi "EAAllvec;-vlKllTtC; TWV OKPWV aVTi va KOTOOlW~OUV TOUC; unoxwpoOvTec; ntpoec; npoc; TllV KOTeu8uvOl Tl'iC; 8aAOOOOC;, ouvevwvouv TOXUTOTO TO aPlOTepO KtpOC; Ilt TO Oe~IO. Mt veOllo TOO MlATlaOOU oXllll0TioTllKe Ilia aAOYYO 9.000 onAlTwv l3a8ouC; 8 ~uywv. 'APlOTepa TWPO I3pioKovTOl ol 'A81lvOlOl, Oe~la oi nAOTOlelc;. 'H V€OOXllll0TlOlltVll aAOYYO ntTel oav IlnOAAlvoC; Kepouvoc; Koi KTuna. TO VWTO TOO nepOlKOO KtVTpOU. AiVlOlOOlltVOl oi ntpoec; OTptOVTOl l3e1310olltvOl Kl eupuvouv TO IlETWnO TOUC;, OAAa llaXOVTOl VlKllOPO nopOAO TO ~OVlKO Tl'iC; tm8toewc;. PWIlOAtOl ollWC; Koi nelOIlOTlKOi ol 'A81lvOl01 Kl oi nAOTOlelC; VIKOOV.
30
'A vacpopa OTOUe; MT]OIKOUe; no)..E:j10Ue; - Mapa8wv
MA8HMA 20v
TaUTOXPova TO tMTlVLKO KtVTPO OTallaT08L Ti)V UnOXWPTlOL OVTLOTptCP8TQL KL tmTiS8TQL KL aUTO OTO n8pOLKO KtVTpO. 'H un8pcpaAOYYTlOLe; OUV8T8MoSTl· Oi m..QTQL81e; OTO 08~LO oYWVi~OVTQL ovop8iwe; KL 008We;, OAAO otv IlnopoOV VO KOIl4JOUV TO tniA8KTO wfllla TOO n8pOLKOO OTPQTOO ... '0 O~LWllaTLKOe; 'Apxiae; onaSOllaX81 11' 8vav ntpOTl. Oi onaSLte; OnavwTte;. '0 'Apxiae; at IlUT8pi) ntTpa YAUOTP08L, napanaTo, 0CPl'jV8L oKMuntTl Ti)V KapoLo, onoKpou8L Ti)v T08KOUPLO, MAO llaXQLPWV8TQL uno TOV ntpOTl OTi)V KapoLo. Oi 'ASTlVaLKte; 00ni08e; 8XOUV oLaKoolll'j08Le; uno Iltoou08e;, cpioLa, 08TOUe;, K8VTQUpOUe;, 08AcpivLa, Tpino08e;, K8cpaAte; TQUpWV, KUKAOUe; Kai Aomo Y8WIl8TPLKO oxtoLa. Oi 00ni08e; TWV nAQTQLtwv Kai TWV OOUAWV oT8vollaKp8e; Ilt oLocpopa Y8WIl8TPLKO 1l0Ti[3a Kai Ilt OTPOYYUA8Iltv8e; Tie; OKp8e;. Oi n8pOLKte; 00ni08e;: TO ytppa 8XOUV nAOTOe; TO illlLOU Tfle; tMTlVLKfle; OTPOYYUAfle; ooniooe;, i) IlLO TOUe; nAwpo KallnuAwv8L oov TO~O. To n8pOLKo navT8AOvLa 8XOUV piY8e; KOS8T8e;, OPL~OVTL8e; Kai KUIlQT08L081e;, oi ot 1l8OOT8e; IlnAOO~8e; TOUe; 8XOUV OTLKTte; ypallllte; Kai T8TpaywvioLa onwe; Kai TO KaAUIlllaTa Tfle; K8cpaAfle;· ntp08e; Kai "EMTlV8e; t~aKOVTi~ouv, OOPQTOllaxOOv tvavTiov OMl'jAWV, TO~OT8e; TO~8UOUV tvavTiov 'EAAl'jvwv, OMOL onaSoflaxoOv, OAAOL IlLooyovaTLoToi, n8Tpo[3oAOOv, OKOVTLO KQTO T08KOUPLOO, OKOVTLO tvavTiov ntTpae;, Oopu tvovTLa 0' OKOVTLO, KonOLOe; opnO~8L TOV CPPUYLKO OKOOCPO tvoe; ntpOTl, noMoi TpaullaTi8e;, V8Kpoi Kai nATlywlltvOL ... Oi "EMTlV8e; aUTi)v Ti)V OTLYIli) npoonaSoOv vo t~OVTWOOUV TO n8pOLKO KtVTpO. LUVTOVLOlltvOL, OPIlTlTLKoi, naSLaolltvOL, KQTQTPOnwvouv TO 08~LO K8VTPLKO Tllfllla TOO n8pOLKOO KtVTPOU, KL oi ntp08e; opXi~ouv vo TptXOUV navLKo[3ATlTOL. 'H cpuyl'j TOUe; napa ouP8L TO OPLOT8PO Tllfllla nou we; tK8tVTl Ti)v OTLYIli) VLK0008. Tptxouv Kai 08LKVUOUV Tie; nTtpv8e; TOUe;. 'H un8pKtpaOLe; tntTuX8. 'YnoxwpoOv npoe; Ti)v ovaToALKi) 1l8PLO Tfle; n80LOOOe; YLO vo owSoOv. 'H oTaKTTl cpuyl'j TOUe; ytVVTl08 IlLO KQLVOUPYLQ M~L OTO tMTlVLKO, TOV "navIKo", YLO TOV OllaOLKO, napMoyo Kai Iltya cpo[3o, OLOTL VOIlLoav OTL i) cpuyi) TWV n8pOWV oCP8iA8TO OTOV cpo[3o nou TOUe; tvtnvw08 0 S80e; nOV ..
31
EI\I\HNIKH AiOiH
MA8HMATA APXAIAL EI\I\HNIKHL iI\OLL:HL
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32
A va¢opa aTOuc; MI70lKOUC; TTO/\.f;f.10UC; - Mapa8wv
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MA0HMA 20v
KaTaAI1~11 OT~V
'Apxala 'Ayopa Tf]e; 'A8r'jvae;, ypr'jyopa, Ka8we; OUV8Xl~8l, tmTaXUV8l TO [3f]jla. 'H xapa Yla T~V VlKI1 TOV KaV8l va TptX8l, TptX8l oKap¢aAwVOVTae;, KlV8LTOl YPl1yopoT8pa, YPl1yopoT8pa oAotva Kai mo ypr'jyopa, TptX8l TOxuTOTa, oAotva Kai mo [3laOTlKa. 'AvUnOjlOV8L v' avaYY8lAn Ta Xapjloouva vta OT~V 'A8r'jva nou aywvl(). To Tonio yupw TOU apXl~8l v' aMa~81. To n8plypajljla TWV otvopwv Kai TWV omTlWV jln8p08U8T0l, oi 0YKOl A8lwvouv, jl8Ta[3aAAovTOl ot KUjlanoTte; XPWjlanoTte; ypajljlte;, Ka8we; tmTOXUV8l TOV i'j011 Taxu pu8jlo TOU. Koupaojltvoe; an' T~V jlaXI1, OKOVlOjltvoe;, Aaxavlaojltvoe;, OjlWe; Otv OTOjlOTO. Ta pooxa TOU KoMoOv ana iopwTa KaTw an' T~V navonAia TOU. '0 i'jAloe; OTO ~8Vl8. 'A¢oPI1TI1 ~tOTI1. 'lopwTae; KaTpaKuAo ot Xovopoue; KOjlnOUe; OTO jltTwno TOU. AaXTOpo TOOO va jl8TaOW08l Ta vta Tf]e; ViKI1e;, WOT8 Otv anooTtK8Tal. 'APXl~8l va OllVO. 8tA8l va ~8KoupaOT8L AlYO, OjlWe; il OKtLjJI1 TOO Ka8r'jKOVTOe; TOV tjlnOOl~81. nptn8l va jla80uv Tie; KaMe; 8i0r'j08le; Yla va naLjJouv v' OOl1jlOVoOv. '0 iOpWTOe; TptX8l Twpa oav aUACtKl OTO jltTwno TOU, TOO 80AwV8l Ta jlana 0X800V Otv [3Atn81. nuoKoAa olaKpiv8l TOV oPOjlO tjlnpOe; TOU. TlnoTa Otv TOV OTOjlmo. 'H avaoa TOU [3yaiv8l O¢UPlXTr'j. "EX8l Aaxavlao81. nlLjJo an8Amojltva. "EX8l t~avTAI18f]. ElvOl £TOljlOe; va owplaoTf] KaTw ana T~V KOUpaOI1, tv TOUTOle; jlt Tie; AlY8e; oUVajl8le; nou TOO anOjltvouv t~aKoAou88L va Tptxn ... va Tptxn t~ou88VWjltvOe;. Tptx8l appu8jla. "OjlWe; KClTl jltoa TOU TOV onpWXV8l va OUV8xl~n, va ouv8xi~n, "AYPlO KapOlOXTum TOV nviY8l, 1'] un8pKonWOle; Kai il ~tOTI1 TOO ¢tpvouv ~aACtoa, novoKt¢aAo, OUOKOAI1 avanvor'j, avuno¢oPI1 olLjJa Kai KaLjJljlO OTOUe; jlUWV8e;, Ta oUjlnTWjlaTO Tf]e; ilAlao8we;. '0 i'jAloe; Kal8l, oi aKTLV8e; TOU TOV nupnoAoOv, oav jltoa ot ojliXAI1 ~8xwpi~8l Ta onlna Tf]e; 'A8r'jvae;. TP8KAl~8l, aYPlo O¢UpOKonl1jla Tf]e; KapolOe;, Ta n60LQ TOU Otv TOV [3aoToOv. Mnalv8l OT~V 'Ayopa, napanaTo, Ta yovma AUYl~ouv, TOV n8plKuKAwvouv, jlt jlla avaoa ava¢wv8L "N£vIK~Ka~H:v" Kai owpla~8TOl V8KpOe;. 'H un8pKonwOle; tjlnOOl08 TO o~uyovo va KUKAo¢opr'jon 0' 011.0 TO oWjla, il Kapola TOU tonao8, OTOjlCtTI108 TOUe; naAjlOUe; Tile; tn8l0~ dX8 ULjJI1A~ KapolaK~ OUXVOTI1Ta. Tptxouv va TOO ¢tpoUV ya(oouLT~V apx~ [3aol~8l
33
EJ\J\HNIKH AiOiH
MA8HMATA APXAIAL EJ\J\HNIKHL iJ\OnHL
PlVO YOAa, aOlKa. 'H KapOlO TOU otv aVH:~S Ti)v TOOll KaTanOvlloll. Kl 0IlWe; tva xalloysAo OlaYPo8TaL OTa naywlltva TOU XSLAll. nt8avs VlKllTlle;, YlaTi ouvtl3aAs Kl alnOe; mi)v VLKll· Elva! 6 'AYYEAla
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A vacpopa OTOUe; Mr)OIKOUe; noAtj.1oue; - Mapaewv
MA0HMA 20v
"ntpoal at f]TTf]er)OaV Ttl f]j.1tp9 TQUrn (Ttl tKTn TOO BapYr)AIWVOe;) Kai Aer)VaIOI at Ttl AYPOTtp9 anOeUOUOl Tae; Xl/.W[pae; Tae; TPLQKOO[ae; KaTa TfJV £uxf]v TOO MIA TlQOOU ... » (KAQUOlOC; AiAlQV6C;) " ... tn£i aUK dxov iKavae; £up£fv, tooE,£v aUTOle; KaT' tVLQUTOV n£vTQKoo[ae; eU£IV, Kai tTl vOv cmOeUOUOlV.» (:=£voWV) Eie; TOV 880V novo aq:ntpwoOV OnrlAOlO OTr,V B.,6,. QKP'l TOO 18poO Bpaxou Ko8l8pWVOVTOe; ouyxpovwe; tTrl0l8e; 8uoi8e; KOt AO~nOO'l opo~io. '0 MlA Tlao'le; npoot¢8p8 OTOV novo 8iKOVO ~t xopoy~tvo tn[ypo~~o TO onOlOV anooi08TOl OTOV ~Wwvlo'l: TOV TPoyonouv t~t novo TOV 'ApKaoo, TOV KOTa Mrl0wv, TOV ~8Ta 'A8'lvoiwv, OTrlOOTO MlATlOO'le;.
'H o8KaT'l TWV AO¢UpWV a¢l8pw8'lK8 OTr,V 'A8'lVO, OTOV 'AnoMwvo KOt OTr,V "APT8~lV. t,tv noptAwjJOV va Tl~rlOOUV KOt TOUe; n80oVTOe; OOUAOUe; ~t TpiTOV TU~!30V. np08K'lPuX8'l OlOYWVlO~Oe; Ola Tr,V OUVTO~lV TOO KoMlTtpou TWV ijpWWV. Luvoywvio8'lKOV 0 AioxUAOe; KOt 0 Ll~Wvio'le;. '0 ,6,fj~oe; 'A8'lvoiwv antv8l~8 TO !3P0!3810V de; TOV Ll~wvio'lv: tYKw~iou
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y.sll\.sV, we; pEV ·HpaKA.s[OT]e; a nOVTlKOe; lorop.s[, Gspomnoe; a 'EpOl.sUe;. 01 ot nA.s[orol ASYOUOlv EUKAsa, opapovra ouv ro[e; onAOle; 8.sppov ana rf/e; paXT]e; Kai ra[e; 8upme; spn.soovra rwv npwrwv, roooOro povov .sin.s[v, "xa[p.sr.s VlKWp.sV", dra .su8ue; sKnv.sOOal. (nAOUT. 'He. 10.74) «'Evra08a (tv MapaeWVI) ava ndoav VUKra Kai tnnwv xp.sp.sTl(ovrwv Kai avopwv paxopsvwv tOTlV aio8so8al... ... Xuvs/3T] OE we; ASYOUOlV avopa sv r,f/ paxn nap.s[vm ro dooe; Kai ri')v OK.sUi')v aYPolKoV' ouroe; rwv /3ap/3apwv noAAoue; Kara-
35
EI\I\HNIKH AiOiH
MA8HMATA APXAIAL EI\I\HNIKHL il\OnHL
cpov£uoae; apOTp(V, j.1£Ta TO epyov ~V acpavr'le;' tP0j.1tVOle; ot A8T)vaiOle;, 6AAO j.1tv 0 8£0e; te; aUTOV eXPT)O£V ouotv, Tlj.1dv ot EX£TAafov tKtA£UO£V ~pwa. n£ rwiT) Tal ot Kai TpOnaLOV M80u A£UKOtJ. Toue; ot Mr'looue; 'A8T)vafol j.1tv 8aljJai AtYOUOIV, We; naVTWe; OOLOV av8pwnou, V£KPOV yli KPUljJQ/» 1 (nauoavfou 'ATTIKO A- 32) (MtXPI ro rtAoc; roD m;pao/1{;vou aiwvoc;, oi KOrolKOI rwv yupw roD Mapa8wvoc; rreplOXwv, ov{;cpepav OTt ouxvci ric; vuxrec; oKOuyovrav KAayytc; orrAwv, cpwv{;C;, 8opu{30C; /10mc;).
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15 4>EBPOYAPIOY: THA8£ evac; i£p£uC; TaY\.laT0PXIlC; VTU\.ltvOC; Kl aCJTOC; OTO XaKi. .... Tpt~a\.l£ Kai TOV unOo£x8rlKa\.l£ OTOV oP0\.lo. To npwi oTiC; 5 KOVOU\.l£ A£lToupyia. MOAlC; T£A£lWO£ rl A£lToupyia oTiC; 8 n£pinou TlPXlO£ TO nup~OAlKO \.lac; vo ~OAn AUOOWOWC;. 'AKOAou8£l rl \.l0XIl nou tKPOTIlO£ 2 wP£C; n£pinou Kai eAIl~£ untp rl\.lwv. KaT£Arlq>81l0av nOAAaioxupai 8tO£lC;. 1200 aiX\.lOAwTOl Kai OPK£TO nOA£\.llKO UAlKO ... 6 AnPIAIOY: To \.l£OIl\.ltpl \.laC; \.l£TtowO£ 0 OOUP\.laTOC; nwc; rl f£p\.laVLa \.laC; tKrlPU~£ TOV nOA£\.lo. n£pl\.ltvOU\.l£ Twpa va \.laC; tmT£800v oi 'ITaAOl. To ~poou OTTW n£pinoAo nllyaivw \.It TOUC; OTPaTlWT£C; \.ltXPl TaC; iTaAlKoc; 8tO£lC;, oAM Otv oU\.l~aiV£l TinoT£. EUPlOKO\.l£8a ouv£XWC; tv ouvay£p\.lQ) ..... 7 AnPIAIOY: "EPX£TOl OlaTaYrl va q>uyOU\.l£ ~poou Kai va na\.l£ npoc; OUVOVTIlOlV TOO OUVTOY\.laTOC; ala OvaOUYKpOTIlOlV. 10 AnPIAIOY: LKO~OU\.l£ xapaKW\.laTa at' tvo£XO\.ltvIlV om080xwPIlOlV. '0 TaY\.laT0PXIlC; \.lac; t\.lLAIlO£ ala TO. \.ltXPl TOOO£ KaTop8w\.laTa TOO OTPaTOO \.lac;. Mac; dn£ KaTOmV em oi f£p\.lavoi \.laC; tKrlPU~aV TOV nOA£\.lOV Kai OTl \.laC; tnflpav TllV 0£OoaAovLKllv, oAM vo \.lllV O£lAlOOn Kav£ic;. NO. n£l8apxoO\.l£ onoAuTwc; Kai \.It TllV ~Orl8£la TOO 0£00 80. q>8000u\.l£ TO nwpw\.ltva \.lac;. -Luv£Xi~ou\.l£ TO OKOIVl\.lO. 17 AnPIAIOY: TllV unOXWPlloi ~ac; unooTIlPL~£l TO TpiTO OW\.la XaAKiooc;. Oi ytq>up£C; nou n£PVa\.l£ dVOl OA£C; unOVO\.l£U\.ltv£c; Kai \.lla \.lla nou n£pva 0 OTPaTOC; ovaTlVOOO£TOl Kai 0 Ov£q>OOlaO\.lOc; KOnT£Tal. 'EYKOTOA&inou!J& oAoue; TOlle; Konoue;, TO OI!JO, TOlle; V&KpOUe; !Joe; Kol !JEVOU!J& Kol naAI aTa noAola !Joe; auvopo ... 20 AnPIAIOY: "AyLOv nooxa. MaC; tmoKtmovTOl Kai nOAlV TO. O£ponAOva. To \.l£OIl\.ltPl \.lOlPO~OUV Aiyo XaA~a Kai IVW\.ll. BplOKO\.laOT£ 0' eva XWPlO nou t~£K£vw81l T£A£iwC; Kai oi OTPaTlWTOl nllyaivouv OTa oniTla Kai ~piOKOUV Aiyo TupL To anoY£U\.la eKava Kai tyw TllV onoq>aol Kai \.la~i \.It evav oTpaTlWTIl tnflya 0' eva onLTl Kai nflpa 5 KOT£C;. TiC; Ka80ploav oi OTPaTlWTOl Kai eowoav \.lla OTOV aV8unoAoyaxo Toapofl, \.lla tKpoTlloa tyw \.It TOV floVVIl Kai TiC; OAA£C; OTa nOlOla Tflc; Ol\.lOlpiac; \.lou. KaTomv tnflya \.It TOV MniAla ot eva \.laya~i, tnrlpa\.l£ TO. XP£lO~OU\.l£va, aVOIVa\.l£ q>WTla Kai TiC; IVrl0a\.l£. "ETOI tKoVa\.l£ 'AVOOTaOl \.It KOTa Tflc; oou~Aac;. (II'III.: To rU.l£poA6YlOV
54
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A>ltpWfJa £Ie; Trw 'Entmov T17e; 2817e; 'OKTw{3piou 1940
MA0HMA 30v
np(3A. 'APlOTOcpOVOUe; "Lcpr;K8e;" aT. 236
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noAq.llKai iaxai
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1821: 1940:
'EA8A80 - Z8Ue; LWTT1P NiKll - 'Ii] nOlOV LTQup6e; NlKCl. 'EA8u88p[a il 0ovQToe; 'Atpa
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55
EAAHNIKH AiOiH
MA8HMATA APXAIA:L EAAHNIKH:L iAOnH:L
01 0EOI ITOYI nOAEMIKOYI ArnNEI TnN EAAHNnN (Ano TO f31f3Mo TOO nCTpOU X6P'7 (EKO. ALTHP)
naAloi Kai Irl\J&plvoi 'Aywv&c, ":Luxvo, OUXVOTaTa, oi "EMllV8~ KOVOUV ~OVOl TOV nOA8~0 nOll TOll~ tm13oAA8l 6 KaKo~ 6 y8lTova~ i'j Kl 6 KaTaKTllTT]~ nOll tPX8TOl
ono nOAll ~aKplo OAO opnaXTlKT] ~avia Yla Ti]v xwpa ~t TOV i'jAlO Kat ~t TO Aiya ~a aKPll3a oya80, MOVOl, 8tAw va nw a13otl8llTOl ano TOll~ aMou~ av8pwnou~, 0Xl o~W~ Kat AllO~OVll~tVOl ono TOV G80 Klono Tt~ OUVO~8l~ T' OupavoO. Kat Ko88 cpopo, 0 nOA8~0~ TWV 'EAAtlVWV UL/Jwv8TOl ot onioTEUTo napa~u8l, ~t i'jpw8~ nOll ~oOv Kl ovanvtouv KOVTO ~a~ Kat ~t OKlt~ nou OTT]V KpiOl~ll wpa yiVOVTOl 6AOOW~0l Kl OOUYKPOTllTOl noM~apXOl Kl tn8lTa, OTav n8poOll T] OXA0I30T] Tf]~ IJOXll~, yupi~ouv OTOV OlKO TOU~ KOO~O Kl OCPtlVOUV TOV "EMllva 0TPaTlWTll va L\JOXV8l onovw OTT]V ~aTW~evll yf] va I3p81 T' 0xvopla ano TO nepao~o TOU~. Kl aUTO T' oxvopla OKo~a T' ova~llTOOv - Kat naipvouv OPKO nw~ npen8l va unopxouv - 0Xl tva~, 0Xl atKa, 0Xl tKaTO, ~a XlAlOO8~ "EMllV8~, ~tXPl TO naMllKopla nOll tKa~av TOV nOA8~0 TOO 40 -41, nou t~lloav Tt~ .opa~aTlKE:~ VUXT8~ TWV 130uvwv Tf]~ 'Hn8ipou Kai Tf]~ 'AAl3avla~, nou aKouoav, val, val, aKouoav Ka8apa cpwvt~ ano TOV aAAo KOO~O, 6p~tlVl8~ Yla va npocpUAaXTOOv, npo~llvu~aTa ViKll~ Yla va oTa800v op8la Kat ~unvla onovw OTO XlOVl, Kl tvav L\Ji8upo Kl tvav atpa yuvOlK8ia~ napouoia~ ... "nOvTa OTT]V E:MllVlKtl yf] KaT813alvouv Kai n8pnaTOOV ol 88OL. Kat OUxva xaipovTOl ~t TOU~ ov8pwnou~, aMa Kat KOVOUV ~a~i TOU~, OTO nAEUpo TOU~, TOV nOA8~0. "Exouv Kat oi aMOl, ol aAAOl Aaoi, TOU~ OlKOU~ TWV 88OU~, ~a ol 880t TWV 'EAAtlVWV Mv ElVOl ~ovo ouvaToi, ElVOl Kl t~unvOl Kl anOcpaOlOTlKOi. .. Kat ~a~ M8l 0 "O~llPO~: "136ll8a TOO Kpovou Twpa YlE: TOU~ 'AXOlOU~ ~t 8oppo~ ... " Mla ano Tt~ T008~ Kat T008~ tn8~l3oo8l~ TWV 88WV OTO :: Tf]~ 'IAlOOO~ ... ~la OKO~ll on008l~ll, ~a~t ~t T008~ aM8~, Yla TT]V OOloonaOTll tVOTllTO TOO yE:VOU~ TWV 'EAAtlVWV ... " ncrpoc; XapllC;
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A¢ltPWfJQ £Ie; T/'W 'Entwov Tf/e; 28'7e; 'OKTw{3p{ou 1940
MA0HMA 30v
'H 'EMae; 0lt8n8 OThv BLl MOK800vio aM8e; Tt008ple; 1l8poPxi8e; (811,911,1011,1111)· 'Ano TO 8tpoe; TOO 1940 TO r8VlKOV 'EmT8A810V tni8~8 TOV M8TO~Q va KOVn tmoTpOTWOI. 'EK8Ivoe; OIlWe; hPV8lTO Ola va Ilhv owon oq>0pllh OTOV MOUOOOALVI. 'OPYOVW08, 0llwe;, oThv tVTtA810 TOUe; Il11XOVlOIlOue; tmoTpOT8U08We; Kol KOTOq>8p8 va YLVn il tmoTPoTWOle; ot "xpOVO-p8KOp". 01 hOAol noptTo~OV OTO IltTwnov T11e; nivoou TIe; nMov a~lollo x8e; Kol tKA8KTte; TWV OUVOIl81e;. 'ApXlKwe;, tnnt81100v Ilt 8 1l8pOPXL8e; tmMKTwv, unooTllpl~01l8V8e; ana OUVTOYIlOTO 'AAl30vwv Kol 1l8AOVOXlTWVWV, iOXUPOTOTO nupo!3oAlKo, asponopio Kol tKOToVTOO8e; aPIlOTO 1l0Xlle;. Ot IlspOpxL8e; "LltvO", "Mnopl", "nOPIlO", "T~OUAlO", "B8vtTOlO", "KtVTOUpOl" Kol "
59
EI\I\HNIKH ArOrH
MA8HMATA APXAIAI EI\I\HNIKHI rl\OnHI
" ... KUPl8 np080p8, tl KopUTOa 8upioK8TOl de; Tae; X8Ipae; TWV tAA,rlvlKWV oTpOT8UllaTwv. '0 nAllSUOIlOe; Tiie; nOA8We;, tAAllVlKOe; Kai aA~avlKOe;, unoiStX8TOl TOUe; avopae; Ilt tKOllAW08le; tvSouOlaolloO Kai Ilt 01lIlaiae;. noo 8UptS1l0av T008e; tAAllVlKte; 01lIlaI8e;; ... " Ta 0xoAla yupw an' TnV unoooxn nou tn8
60
ArpltPWfJQ £Ie;
TI'/V Entmov me; 28'7e; 'OKTw{3piou 1940
MAElHMA 30v
OlOV "MapiTa', TO onolov npotl3Aem: TauToXPov11 tni8wl tvavTiov rlOUYKoaAaufa~ Kat 'EMaoo~. 'H repllavia K11Puaael TOV nOAello aTllV 'EAMoa aTt~ 6 'AnplAiou. 'H rlOUYKoaAaufa KOTapptellltaa at Aiya eiKOmTeTpaWpa, tvw ot repllavoi, ot onolol tmTi8evTOl ano TllV BouAyapia, rlTTWVTOl aTa Oxupa Tii~ ypallllii~ MeTa~a. 'EKel ypaeTOl OAA11 Ilia xpuaii aeAt~ Tii~ 'EAA11vlKii~ 'laTopia~. KOTaAalll3avOVTa~ 61lw~ TllV rlOUYKoaAaufa, oi repllavoi eiatpXOVTOl aTllv 'EMMa ano TllV 'EM11VO-rlOuYKoaAau"iKll lle80plO Kat 8avouv aTllv GeaaaAoviK11, KUKAWVOVTQ~ 11' aUTO V TOV Tpono Ti~ tM11VlKt~ OUVallel~. '0 OlOlK11Tll~ TOO TLllM (TIli]llaTO~ LTpaTla~ llUTlKii~ MaKeoovia~) aTpaT11Yo~ TaOAaKOYAOU aVaYKa~eTQl va unoypaljJn auv811KOAOY11al, tq>' oaov nMov rl aVTiaTQOl~ elVOl IlOTala. '0 'AM~avopo~ Kopu~ii~ aUToKTovel Kai 0 BamA8U~ avaxwp811lt TOV vto npw8unoupyo 'EllllavoullA Taouoepo Yla TllV Kpi]T11. Ot r8Pllavot KOTtPXOVTOl npo~ TO. VOTla Kat KOTaAalll3avouv OA11 TllV rlnelpwTlKll 'EMaoa Ila~t Ilt TOU~ rlTT11lltvou~ 'lTaAou~. 'Eav aUYKpivOUll8 TO aTaTlaTlKa aTolxela TWV Ilaxwv TOO B' naYKoalllou noMIlOU, 80. aVTlA11800Ile TO Iltye80~ Tii~ npoaopa.~ Tiic; 'EAMoo~. 'H 'EMa~ TllV tnoXll tK8iv11 e1xe nA118uall0 7 tKaTollIlupla, tvw rl naviaxuP11 raMia dxe 104 tKOTollllupla. '0 081KT11~ 0IlWC; anaaxoAi]aew~ tX8PlKWV 1l8papXlwv avo. tKaTolllluplOV, Ola Iltv Tllv 'EAMoa dVOl 2,8 tvw Ola TllV raMla 0,48. '0 ot [3a8IloC; Tii~ npo~ev118eia11~ ana Tllv 'EAMoa aTov tx8po 80pa.~ dVOl 19,6 tvw ana Tllv KpaTOla raMia dVOl 4,8. LTo yevlKwT8PO nAaimo, rl 'EMaC; aVTtaT11 OLnAamOV aX800v xpovov ana oaov (01100) rl raMia, TO BtAYlOV, rl 'OAAavoia, rl nOAwvia, rl Nopl311yia Kat rl rLOUYKoaAaufa (TO. KpaT11 aLJTa dxov KOTaA118ii tvwplTepov uno TOO "A~ovo~), anaaXOA11ae Ot Kat 888lP8 OLnMOlO neplnou apl81l0 MepapXlwv, ano oAa 01100 TO. npoava8p8tvTa KpaT11. L' aUTO TO a111l810, a~i~el va napa8tawlle anOljJel~ repllavwv Yla Tllv aVTlaTam TWV 'EMi]vwv: "'EKAeKTa 'EAA11VlKa aTpaTeullaTa, unepi]amaav Ilt tVTeAw~ t~Olp8TlKOV rlPw'(allov TO. Oxupa Tiic; rpallllii~ M8Ta~a.. npoeKAi]811aav .. aUYKpouael~ .. Toaov neiallove~ Kat 8VTOVOl 6aov otv dxov Ml3el IltXPl ToOoe xwpav etc; Kavtva QAAO nOA81llKOV 8tOTpOV ... "
61
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'AVaKOIVWOewc:; TOU ITpaTityeiou TOU upep, 11-6-41).
«'H iOTOPIKr, OIKatOOUVl1, 0I1WC;, 11£ unOXP8wv81 va OlanLOTWOW OTl ana OAOUC; TOUC; aVTlnOAOUC; TOUC; ono[ouc; OVTlI18Twn[oaI18V, a "EAAl1V oTpaTlWTl1C;, iO[wC;, tnoMI11108 11£ UljJlOTOV tlPWl0l10V Kat aUToSuo[av. 'EouvSl1KoMY1108 110VOV OTav tl t~aKOAouSl1OlC; Tr;C; aVTlOT008WC; O£V ilTO nMov OUVOTr, Kat Mv dX8 Kavtva Myo ... " ..... 'E~ 6Awv TWV aVTlnaAwv Oi'TIV&C:; lJac:; aVTIIJ&TWmOaV IJOVOV 6 "EAAIlV oTpaTlWTIlC:; tnoAtlJllo& IJt napaToAlJov Sappoc:; Kai (nlJioTllv n&plC"poVIlOIV npoc:; TOV SavaTo." (A6yo<;, 'A06}'cpou Xir}.gp aro Paixaray, 4-5-1941) NOI1[~w nwc; OP110~81 va KA8[OWI18 Tr,v ava<1>0PO l1ac; 11£ TO MYla TOO 'Iwovvou M8Ta~a, ana TO IllOYY8AI10 TOU npoc; TOV 'EMl1vlKO I\ao, Ol1a Tn Kl1PU~81 TOO 'EMl1vo-'!TaAIKoO noMl1ou:
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70
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XapaKTllPlanKOv £lVQl on Kat aUTOe; 0 'AploTOcpOVIl<;, KaTa 1.10vaOlKllV '(awe; 8~a[p£OlV TOO OAOU tpyou TOU, nap£vtl3aA£v 8V KWI.1WO[Q. aol3apoue; aT[xOUe; 8aul.1aa[ae; napaaTaTlKoTllToe;, de; TOUe; ono[oue;, Ola TOO aTOl.1aTOe; TJle; un£Pllq>avou AaKa[vlle;, 81.1q>av[~£l TOV A£wv[oav oyOVTQ TOUe; G£Pl.1onUAOl.1aXOUe; we; KanpOUe; Tp[~OVTQe; TOUe; o06vTQe; Kat 8Kn8I.1nOVTae; ana TOO aTOI.101Oe; aq>poue; 8K nOA£I.1lKOO I.1tvoue; 8vaVT[OV TWV n£pawv, nOAunAll8wv we; 1') 01.11.10e;: O/.lt o· au OIlEwv{oae; aYEv ¢nEp TWe; KonpWe; ... ijv yop TWVOpEe; OUK tAOOOWe; TOe; l/JO/.l/.lae;, TOi ntpoa/. ... 1 1 J\UOlOTpanl, OT. 1254 K.tE;.
76
A vacpopa aroue; MTJ01KOUe; rroA£lloue; - B£PllomJAal
MA8HMA 40v
'H LnOpTTl otv dX£ ouyypaq>£le;, iOiq iOTOplKOUe;. nAllv, naV£AATlviou q>l'lI.1Tle; iOTOPlKOi, PrlTOp£e; Kat QAAOl ouyypaq>£le; TIle; tAATlVlKfje; OPXOlOTTlTOe;, aKOI-lTl Kat Y£VVTl8tVT£e; £Ie; nOA£le; at onOlOl atv l-l£Tt0xov £ie; TOV aywva TWV 0£PI-l0nUAWV f] Kat £ie; TOUe; n£pOlKOUe; noMl-loue;, tYPQljJav Ola TTjv I-l0XTlV TWV 0£Pl-lonUAWV we; Ola TTjV I-l£YOATlV oo~av Tfje; 'EAATlVlKfje; q>uAf]e; Kat otv unfjp~av q>£lOWAOt £Ie; lWVOUe; Tfje; 8uoiae; TWV 0£PI-l0nuA0I-l0XWV ..... OUTWe;, a nOTTjp Tfje; 'IOTopiae; 'HPOl>OTOC:; CAAlKapvaoo£ue; TTjV KOTaywyTjv aAA' 'A8TlvalOe; TTjv 4JuxTjv) aq>l£PWV£l Tae; nMov opal-laTlKae; Kat de; nOAAa nAllP£le; OUYKAOVloTlKfje; napaOWTlKOTTlTOe; o£Aioae; TOO n£plAaArlTOU tpyou TOU £Ie; TTjv t~lOTOPTlOlV Tfje; I-l0XTle; TWV 0£Pl-lonuAwv. 'De; dVOl £Ie; T]I-lae; YVWOTOV tK l-l£Tay£vwTtpwv nTlYwv, a 'HpOOOTOe; anrlYY£lA£V £Ie; olaq>opOUe; tAATlVlKae; nOA£le; T£l-laXla Tfje; iOTopiae; TOU, avaq>£p0l-l£va £Ie; Tae; viKae; TWV 'EAArlVWV KOTa TWV tmopol-ltwv ~ap~opwv, KOTO Tlvae; at nATlPoq>op(ae; anrlYY£lA£ TO. MTlOlKa Kat tvwmov TOO nav£AATlviou KOlVOO Tfje; 'OAul-lniae;. To Aiav t8VlKOV ouvaio8Tll-la, on£p KOTtX£l TOV 'HPOOOTOV KOTa TTjV t~lOTOPTlOlV TOO aywvoe; tAw8£piae; TWV 'EAAT]VWV KOTa TWV ~ap~o pwv, KuplapX£1 untp nav aAAO £Ie; TO wfjl-la TOOTO, TO aq>opWV £ie; TO. Tfje; l-laXTle; TWV 0£PI-l0nUAWv. "Avw al-lq>l~OAiae; TOOTO 80. ouv£KiVTlO£ n£ploooT£POV navTOe; QAAOU Kat 80. £iotouo£v EWe; TO. I-lUXla Tfje; Kapoiae; TWV aKPOOTWV TOU, OT£ a 'HpOOOTOe; anrlYY£lA£ TO. MTlOlKa £ie; 8AATlVlKae; nOA£le; f] 8vwmov TWV ana naOTle; ywviae; 8AATlVlKfje; yfje; OUVTlwtvwv £ie; 'OAul-lniav 'EAAIlVWV, TOOTO at 80. tKivTlo£ TO. OOKpua TOO naplOWl-ltvou 00UKuoioou nQlOOe;, we; t~£~aiouv l-l£wy£vtOT£POl napaOOO£le;. '0 0ouKul>il>I1C:;, I-l0AOVon iOTOP£l TTjV n£piooov TOO t8VlKOO OlXa0I-lOO, otv napaA£in£l £UKOlpiav, ioiwe; £Ie; OTlI-lTlyopiae;, va I-l£Taq>tPTl TTjV OKt4JlV TWV aVaYVWOTWV TOU npoe; TO. l-l£yaAa Kat U4JTlM tpya KOTa TTjv n£piooov TWV n£pOlKWV noMl-lwv, aOq>aAWe; txwv Kupiwe; un' 04JlV TOV aywva TWV 0£PI-l0nUAWv. 'AKpl~We; Evav aiwva I-lETa TTjv l-laXTlV TWV 0£PI-l0nUAWV 0 IJEyac:; p~T(IlP 'laOKpCTI1C:;, 'A8TlvalOe; TTjv KOTaywyTjv Kat TTjv 4JUXrlV aAM nav£AATlviou q>pOVrll-laTOe;, £Ie; TOV "naVTlYUplKOV" TOU TOV onOlOV typa4J£V '(va avayvwo8fj £ie; TTjV 'OAul-lniav KOTa TTjV 8KaTOOTT]V 'OAUI-lmaoa (380 n.X.) nPO~aAA£l 8vwmov TOO tK£l OUVTlYl-ltvou 'EAATlVlKOO K00I-l0U
77
EJ\J\HNIKH AfOfH
MA8HMATA APXAIAL: EJ\J\HNIKHL: fJ\OL:L:HL:
TllV 8uoiav TWV 08p~OnUAWV we; OU~!30AOV vtou aywvoe; Tfle; >uMe; tvavTiov TWV !3ap!3apwv. '0 a~IOe; ~a8TlTlle; TOO 'IOOKpaTOUe; lOTOpIKOe; "Eopoc; aVTA8l Kat alJTOe; tK TWV napa0008WV Tfle; LnapTIle;, '(va n8plypaljJn ~8Ta opa~aTlKOTIlTOe; Ta tn81000la TOO aywvoe; TWV 08p~onuAWV Kat t~apn ~8Ta AUPIO~OO TllV O1l~aoiav Tfle; 8uoiae; TWV 08p~onuAo~axwv. Atwvae; at !3paouT8poV, 0 al6l>wpoc; 6 IIK&AlCilTllc; ~8Ta>tp81 8te; TllV lOTOpiav TOU TllV a>l']YIlOlV TOO 'E>opou, nA810OOTWV 8ie; aV8KOOTOAOYlKllV tK TWV napa0008WV Tfle; LnapTIle; n8plypa>llV Kat 8ie; AUPIKllV t~apOlV Tfle; npoe; TOV 8avaTov t~op~l']08we; TWV T8A8UTaiwv ou~nOA8~IOTWV TOO J\8wvioou Kat Tfle; Oll~aoiae; TOO 8avaTOU alJTWV xaplV Tfle; tA8U88piae; TWV 'EAAl']vWV. nAOUTOPXOc; 6 XOIPWV&Uc;, napa Tae; aKa~moUe; ij81KoAoYIKae; apxae; al onOlat 080no~ouv TOO OAOU ouyypa>IKOO alJTOO tpyou, t>8a08 va ypaljJn 8LOIKOV Ai!38AAOV KaTa TOO 'HPOOOTOU, '(va un8paonion TOUe; OU~naTPIWTae; TOU 01l!3aioue; tK TWV KaTllYOPIWV tnt ~1l010~
78
A varpopa aroue; M17i5lKoUe; rroM;f.1oue; - Gepf.1orrullOl
MA8HMA 40v
O(JTW 0 aywv TWV 08PI10nUAWV, tKq:>UYWV tK Tfle; iOTopiae;, KaTtonl 8pOAOe; Kai OUI1[30Aov naOTle; 8uoiae; untp tAw88piae;, OUTW ot aVTIlX8l Kai Ul1V8lTaL avo. TOUe; aiwvae; uq:>' OAWV tv ytv8l TWV Aawv Tfle; yfle;, 'IOlOlTtpwe; atv enauo8v eKToT8 va anOT8Afj Ola TOUe; "EMllvae;, aKOl11l Kai KaTa Tae; OUOTuX80Ttpae; tll1tpae; TWV Tan8lvw08WV, TWV OlaLpt08WV Kai TWV t~OVTWTlKWV KaTaKTl'jo8wv, TO q:>UA8TlKOV KauXlll1a, TT']V aq:>8lTov Kai ~woyovov oo~av, Ot AOYlOl Kai n8plllYllwi, OlTlV8e; tn8oKtmovTo TT']V 'EMaoa KaTa TT']V n8piooov Tfle; TOUPKOKpaTiae;, tq:>lAo06~ouv va q:>8aoouv I1tXPl TOO n8pl06~ou LT8VOO, lva avanoAijoouv tni Tonou TT']V oo~av TOO J\8wvioou, 118T' tKnAl'j~8we; at i'jKOUOV TOUe; unOOOUAOUe; "EMllvae; va Ol1lAOOV 1188' un8PIlq:>av8iae; n8pi TWV KaTop8wI1aTWV TWV apXaiwv npoyovwv TWV 8ie; Tae; 08PI10nUAae;. '0 Kflpu~ Kai nPWTOl1apTUe; TOO aywvoe; Tfle; tAAIlVlKfle; tAw88piae; PIlyac; B£A£OTIVAijC; (
79
EI\I\HNIKH ArOrH
MA8HMATA APXAIAI EI\I\HNIKHI rl\OHHI
KllPuaawv TOV aywva Tf]~ tMllKaA81 Ola Tf]~ tnavaaTaTlKf]~ npoKllPuS8W~ TOU (24 ct>8[3pouap[ou 1821) TOU~ "EMllva~ va owaouv ~aXllv "~8TaSu Mapa8wvo~ Kat 08p~onuAwv", Kat npaWaTl, npo~ Y8VlKilv avo. TOV Koa~ov KaTanAllSlV, tAaXlaTOV xpovov apYOT8POV, 0 'A9avooloc; altlKOC;, tK TWV npWTWv aPXllYWV TOO aywvo~ Tf]~ tAAllVlKf]~ an8A8U88PWa8W~, KpaT81 Tilv yt¢upav Tf]~ 'AAa~aVa~ 8i~ TOV In8PX8l0V, tVTO~ Tf]~ MaA[oo~ n80laoo~, of]Aa oil TOO 88aTPOU TOO aywvo~ TOO J\8WV[00U KOTa TOO :::tPSOU, Kat 9UOIO~&Tal IJ£ Tel naUIl-
'0 ot
'AAt~avlipoc; 'YIjJIlAtlvTIlC;,
VlKf]~ tAw88p[a~,
Kopla TOU, elPVOUIJ&VOC; unoxwPllolV, KaTel TO napali&IVlJa TWV 0&PlJonuAwv, 'H 9uofa aUTIl TOU alaKOU, 8u8u~ w~ 1'1PXla8v 0 vto~ aywv Tf]~ tAW88p[a~ TWV 'EMi)vwv, 8i~ Tilv yt¢upav Tf]~ 'AAa~ava~, tVTO~ TOO 88aTPOU TWV tmX8lpi)a8wv KOTa TOU~ n8pOlKOU~ noM~ou~ Kat liuo
1J0AIC; XIAlolJ&Tpa ana TOU OT&VOU TWV 0&PlJonuAwv, KaTtnAIl~& TOT& TIlV EupwnllV, IuyXpovw~ tK[vlla8 TOV 8au~aa~ov Kat Tilv aU~na88laV
TOO nOAlTla~tvou Koa~ou, 0 onolo~ 8lX8V t~noTla8f] ana TO. i08WOll Tf]~ tAw88p[a~ Kat Tf]~ 06S11~ Tf]~ tMllvlKf]~ apXOlOTllTO~, 1'1011 ot 8[3A8n8 TOU~ aYWVl~O~tvou~ Ola Tilv tAw88p[av TWV "EMllva~ W~ YVlla[ou~ anoyovou~
TWV ijpwwv TOO J\8WV[00U, 'EKUKAO¢OpOUV TOT8 avo. Tilv OUTlKilv Eupwnllv 8iKOV8~, 8i~ Ta~ ono[a~ nap laTaVOVTO 0 J\8wv[oa~, ~axo~8vo~ KOTQ TWV n8pawv 8i~ TO aT8VOV TWV 08p~onUAWV Kat 0 t.laKO~, ~aXO~8VO~ KaTa TWV TOUPKWV 8l~ Tilv Y8lTOVlKilv yt¢upav TOO In8PX8l00, napf]A80v 8KTOT8 8lKoalTtaaap8~ Kat nMov aiwv8~, KOTa Tijv OlaPK8laV TWV ono[wv avap[8~llTa Kat avunoAoy[aTOU all~aaia~ Y8YOVOTa ~8TtTp84Jav TOV poOV Tf]~ iaTop[a~ Kat ~8Tt[3aAov Pl~lKW~ Ta~ Tuxa~ Tf]~ aV8PWnOTllTO~, 'AM' ij Y8VVOlOTll~ TWV oAiywv tK81vwv 'EAATlVWV, oi onoIOl 8i~ Ta~ 08p~onuAa~ aVTl~8TWmaav Ta~ avapl8~i)TOU~ ~uplaoa~ TWV tmopo~twv ana 'Aaia~ [3ap[3apwv, otv nau8l va 8aU~a~8T0l Kat va u~vf]TOl, ij at 8uaia TOO J\8WV[00U Kat TWV au~~aXllTWV TOU tsaKOAou881 naVTOT8 va nP0[3aAA8TOl w~ au~ [30AOV naVTO~ 8uy8VOO~ aywvo~ untp Tf]~ iota~ Tf]~ tAw88pia~, Irf)e; AAaJ.lavae; f) KAelw ro BpuA1KO yecpupl rf) i5acpvry rf)v aJ.lapavrry Kart:{3ryKe va aneip.l7· Kl f) 'EAwBepia nov r' aarpo rrye; avt:onepo arf)v nAaary ro lIewvii5a avaorryoe oro L11aKo ro Gavaory ! (K. naAa~ac:)
80
A vacpopa aToue; Mr,OIKOUe; noAtj.1oue; - G£pj.1onuAal
MA0HMA 40v
It Atw InapTlClTl'I - nte; !.It 0tamta (t.II'IYI'IIJa TOO 'An0C7T6AIl t.61l~pou)
'0 TEAapwvac; roO E;icpouC; povaOIKO aou poOxo. ''0 Buaavoc; roO Kpavouc; povaOIKO aou aroAiol. 'H aanioa {JapEla, TO Oopu oE;u, Am? rj yAwaaa. J\aKwva {JaOlAla, oi OUO aou M:E;EIC; at Kavav 6B6varo.
-'AnoonaOIlOm..... Oi OUVTPO¢Ol KOU[30AOYOV8 TOlle; V8KpOlle; 0TPOTlWT8e; novw OTJlV oonioo, OTOV TO n80io Tfle; ~OX'le; llTOV8 KOVTa OTJlV L:nopT'l. "A V llTOV8 ~OKPUO, [30~OV8 novw OTJlV T8POOTlO aonioo TJlV OTO~VO ~t TJlV OTOXT'l TOO V8KpOO. Mna ana Ko88 tKOTPOT8iO, npWT8e; OTJlV nOAl ~noivov8 OLITte; oi aOni08e; KOI ~8Ta 0 [300lAlae; KOI oi ~WVTOVOI nOll novTo llTOV8 VlK'lTte;. NlK'l~tvoe; L:nOpTlOT'le; otv yUPl~8 nOTt niow. "HTOV8 VO~oe;. -'H KOTOOTOO'l dVOl ~8K080p'l. n88ovou~8: To ~ovo, nOll ~nopoO~8 va KOVOU~8, dvOl va n88ovoU~8 oav L:nOpTlOT8e;' dn8 0 t\8wviooe; OTOV nOlOlKO TOU ¢iAO KOAAinOTP'l, nOll tvw KonOT8 KOU~OVTOPl~8 XiALOUe; nOA8~lOTte;, OTJlV tKOTPOT8io OLJTJl dX8 ~OVO atKO va KOU~OVTOp81. '0 KOAAinOTP'le; llTOV8 llP8~0e;. "H~8p8 OTl OTle; n8ploT008le; oUTte; Ko88 aVO poe; TOU ~tTPOY8 Yla tKOTO. nOAl xiALOUe; Aomov KOU~OVTO Pl~8, apo TO ,(OlO.
Go.
(LTO oTpoTom:150 TWV nepowv):
M8Y0A8 KOI nOAuxpOV8~tV8 ~OU [300lAlO, dn8 0 OTpOT'lyoe; ~t TOV nopTOKOAI XPUOOKtVT'lTO XlTWVO, TO. ~OKpUa KOTOOpa ytV8l0 KOI ~OAAlO, K08we; 8KOV8 ~la [3088la ~8TOVOlO ~npOOTa OTO 8povo. LlW08 ~OU TJlV a08l0 va OlOTO~W TOlle; "a80VOTOUe;" ~OU va n8TOoKoLtJOUV8 OLJTOlle; TOlle; ~nAO¢OOOpoue; tK81 antVOVTl. Lltv aVTtXW aAAO, nOAUXpOV8~tV8 ~OU a¢tvT'l. Mae; npoKoAoOV8 OUV8xWe;. Mae; Kopol08UOUV8. L:uvtX8l0 KOVOUV8 yU~VOOTlKte; aOK~08le;, Ate; KOI ~8Ie; 8'(~00T8 npOOKUV'lTte; ot nOV'lyupl KonOlOU 8800 TOUe;. LlWOT8 ~OU TJlV a08l0 va apxiow TJlV ~OX'l, va ~8~n8p08uoU~8. Lt iK8T8UW!
81
EI\I\HNIKH ArOrH
MA8HMATA
APXAIA~ EI\I\HNIKH~ rI\OLLH~
"OXl!
•
Oi ~tpEe; nEpvayaVE Kai oi "EMllVEe; 0Xl ~OVO M oTtAvaVE nptol3Ele; ~t xw~a Kai VEPO, aM' o.vTi8na tpxovTavE oi '(OlOl OXEOOV ~tXPl Tie; nEpOlKte; ypa~~te; KaVOVTae; 4JEUTlKEe; tm8tOEle;, nou Mv nTavE o.AAO ana yu~vaOla o.KplI3Eiae;. TptxavE OAOl t~npoe;. LTa~aTayavE ~a¢VlKa. KaVaVE ~EplKo. 13r']~QTa niow, xwpie; va OTpt4JOUV Tie; nAOTEe; TOUe; Kai ~avo. ~npo OTa. (DTavavE TOOO KOVTo. nou o.v nnayaVE TO. ~aKpUo. o.KOVTla TOUe;, 80. Kap¢wvavE TOUe; npwTOUe; "a8aVaTOUe;". "OOOl ana TOUe; OUVTpO¢OUe; TOUe; E'lxavE KAEioEl Ti)v OElpa TOUe; oTie; o.OKr']OEle; KOAu~nayaVE Ti)V '(Ola wpa OTi)V 8aAaOOa. "AMol n6.Al yuaAI~aVE TO. onAa TOUe; ~t o.~~o. Tie; o.oniOEe; Kai TO. KpaVll TOUe; nou yuaAI~aVE OTOV nAlO Kai oTpal3wvavE TOUe; tKnAllKTOUe; Mr']ooue; .... To il8lKO TOO nEpOlKOO OTPQTOO o.PXlOE ~t Tilv o.va~ovi) va nt¢Tn, =WnaOaVE Kai Kauy6.0Ee; ~ETa~u TWV ola¢opwv t8VOTr']TWV.
82
A varpop6. aTOuc; MTJ01KOUC; noUliouc; - 8eplionul.m
MA8HMA 40v
Thv TtTQPT'l I-ltpo 0 I-lEYOAOe; ~OOLAlo.e; KOAEOE TOV npiYK'lnO OTPOT'lYO. -AOplo npwT, TOO dnE I-lt mKpOl-ltV'l ¢wvr'l, OWOE TOUe; EVO 1-l08'l1-l0. npOOE~E OI-lWe;, 8tAW VA TEAElWVOUI-lE ypl'lYOPO KOt I-llo. Kl E~W. To I-lW'll-ltPl va EXETE TEAElWOEl. Go. ¢o.I-lE 1-l0~i. -EUXOPlOTW, o.¢tVT'lI-lOU ¢WnOl-ltvE. "EVVOlO oou Kl tyw 80. TOlle; owow EVO YEPO 1-l08'l1-l0, nOll 80. TO Ol'lYOOVTOl TpEle; XlAlOOEe; xp6VlO .... 'Ano Thv ouyh 0PXlOE f] nopOTO~le; OTOUe; Mr'jooue;.
~8nE~t4JOVE
KOt
~ou~ot
OT08r'jKOVE I-lnpOOTo.
-AuToe; dVOl AOLn6v! OKt¢T'lKE 0 MlT~l8pOT'le; ono TO. LOOOO. OOTE XPUOO¢lO, OOTE nOAUXPWI-l0 XlTWVO, OOTE nEPI-l0VOVT OTo. ytVlO KOt OTo. 1-l0MlO TOU! -Mo OUTOe; Mv 1-l0lo.~El I-lt ~OOlAlO, EKOVE Thv OKt4J'l 0 'APTO~OK'le;. OOTE OOKTUALOlO ¢OPOEl OOTE at 8p6vo K08nol. LT8KETOl VUI-lVoe; KOt onAlOI-l8VOe; on8VOVTi I-loe;, T8TOlO OO~OPhI.lOTlo. Mv txw ~OVOOEI.
83
t8
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A vacpopa aroue:; MTJOIKOUe:; rroil.tpoue:; - Gepporru},al
MA8HMA 40v
Yla va OXrlllQTi08l tva Ill, ll8Ta TO. 00lJPW08 TlaXVOVme; tva 0, ll8Ta KOAAIl08 Tr,V YAwooa TOU OTOV oupaviOKO, AtYOVTae; tva MIlr3oa' ouYXpovwe; QVOl~8 TO oTolla TOU r3yo~ovTae; tva 0 Kai UOIl~8 Tr,V IlUTIl TOU TlOXVOVTae; tva Vl. LUVtXl08 Ilt Illa aKOll1l At~1l Kai aUTO !1Tav8 OAO, OUO A8~00A8e;: MoAwv Aapt! -"EAa va TO. nop8le;, 1l8Ttpa08 0 Ol8Pllllvtae;. Ot ntp08e; nptor38le; r3our308IlKav. rupw TOUe; ot LnapTlClT8e; ouvtXl~av Tie; IllKPOOOUA8lte; TOUe;, oav va Ilr,v tTP8X8 Tinom. =avaKar3aMjoav8 T' QAOYO TOUe; Kai yupioav8 OTO 1l8Y6.A0 r3aOlAL
85
EI\I\HNIKH ArOrH
MA8HMATA APXAIAL EI\I\HNIKHL rl\OnHL
Oi OU~~axOl <\>8UYOVTa<; TO [3p60u dxav 0<\>1']08l nOOOTllT8<; poM~8All<; Kai ~UOLOO. Oi OOOAOl <\>nO~aV8 TO npOY8U~a. l.IJw~i Kai poM~8All YlO TOU<; 0WnL8l<;. l.IJw~i Kai ~UOl YlO TOU<; LnapnCn8<;.
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EAAHNIKH AiOiH
MA8HMATA APXAIA2: EAAHNIKH2: iAOUH2:
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366