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Colored diff for /texts/archimedes/xml/Attic/pappu_coll8_01_el_1876.xml between version 1.6 and 1.7

version 1.6, 2003/09/19 12:28:30

version 1.7, 2003/09/19 12:35:44

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<s id="id.000004">sta/sews ga\r kai\ fora=s swma/<lb n="8"/>twn kai\ th=s kata\ to/pon kinh/sews e)n toi=s o(/lois qewrhma<lb n="9"/>tikh\ tugxa/nousa ta\ me\n kinou/mena kata\ fu/sin ai)tiologei=, <lb n="10"/>ta\ d' a)nagka/zousa para\ fu/sin e)/cw tw=n oi)kei/wn to/pwn ei)s <lb n="11"/>e)nanti/as kinh/seis meqi/sthsin e)pimhxanwme/nh dia\ tw=n e)c <lb n="12"/>au)th=s th=s u(/lhs u(popipto/ntwn au)th=| qewrhma/twn. </s>

<s id="id.000005">th=s de\ <lb n="13"/>mhxanikh=s to\ me\n ei)=nai logiko\n to\ de\ xeirourgiko\n oi( peri\ <lb n="14"/>to\n *(/hrwna mhxanikoi\ le/gousin: kai\ to\ me\n logiko\n sun<lb n="15"/>esta/nai me/ros e)/k te gewmetri/as kai\ a)riqmhtikh=s kai\ a)stro<lb n="16"/>nomi/as kai\ tw=n fusikw=n lo/gwn, to\ de\ xeirourgiko\n e)/k te <lb n="17"/><pb n="1024"/>xalkeutikh=s kai\ oi)kodomikh=s kai\ tektonikh=s kai\ zwgrafikh=s <lb n="1"/>kai\ th=s e)n tou/tois kata\ xei=ra a)skh/sews: to\n me\n ou)=n e)n <lb n="2"/>tai=s proeirhme/nais e)pisth/mais e)k paido\s geno/menon ka)n <lb n="3"/>tai=s proeirhme/nais te/xnais e(/cin ei)lhfo/ta pro\s de\ tou/<lb n="4"/>tois fu/sin eu)ki/nhton e)/xonta, kra/tiston e)/sesqai mhxani<lb n="5"/>kw=n e)/rgwn eu(reth\n kai\ a)rxite/ktona/ fasin. </s>

<s id="id.000006">mh\ dunatou= d' <lb n="6"/>o)/ntos to\n au)to\n maqhma/twn te tosou/twn perigene/<lb n="7"/>sqai kai\ maqei=n a(/ma ta\s proeirhme/nas te/xnas paragge/l<lb n="8"/>lousi tw=| ta\ mhxanika\ e)/rga metaxeiri/zesqai boulome/nw| <lb n="9"/>xrh=sqai tai=s oi)kei/ais te/xnais u(poxeiri/ois e)n tai=s par' <lb n="10"/>e(/kasta xrei/ais. <lb n="11"/></s>

<s id="id.000007">*ma/lista de\ pa/ntwn a)nagkaio/tatai te/xnai tugxa/nousin <lb n="12"/>pro\s th\n tou= bi/ou xrei/an [mhxanikh\ prohgoume/nh th=s a)rxitek<lb n="13"/>tonikh=s] h(/ te tw=n magganari/wn, mhxanikw=n kai\ au)tw=n kata\ <lb n="14"/>tou\s a)rxai/ous legome/nwn ( mega/la ga\r ou(=toi ba/rh dia\ mhxa<lb n="15"/>nw=n para\ fu/sin ei)s u(/yos a)na/gousin e)la/ttoni duna/mei ki<lb n="16"/>nou=ntes), kai\ h( tw=n o)rganopoiw=n tw=n pro\s to\n po/lemon <lb n="17"/>a)nagkai/wn, kaloume/nwn de\ kai\ au)tw=n mhxanikw=n (be/lh ga\r <lb n="18"/>kai\ li/qina kai\ sidhra= kai\ ta\ paraplh/sia tou/tois e)capo<lb n="19"/>ste/lletai ei)s makro\n o(dou= mh=kos toi=s u(p' au)tw=n ginome/nois <lb n="20"/>o)rga/nois katapaltikoi=s), pro\s de\ tau/tais h( tw=n i)di/ws <lb n="21"/>pa/lin kaloume/nwn mhxanopoiw=n (e)k ba/qous ga\r pollou= <lb n="22"/>u(/dwr eu)kolw/teron a)na/getai dia\ tw=n a)ntlhmatikw=n o)rga/<lb n="23"/>nwn w(=n au)toi\ kataskeua/zousin). </s>

<s id="id.000007">*ma/lista de\ pa/ntwn a)nagkaio/tatai te/xnai tugxa/nousin <lb n="12"/>pro\s th\n tou= bi/ou xrei/an [mhxanikh\ prohgoume/nh th=s a)rxitek<lb n="13"/>tonikh=s] h(/ te tw=n magganari/wn, mhxanikw=n kai\ au)tw=n kata\ <lb n="14"/>tou\s a)rxai/ous legome/nwn [1mega/la ga\r ou(=toi ba/rh dia\ mhxa<lb n="15"/>nw=n para\ fu/sin ei)s u(/yos a)na/gousin e)la/ttoni duna/mei ki<lb n="16"/>nou=ntes]1, kai\ h( tw=n o)rganopoiw=n tw=n pro\s to\n po/lemon <lb n="17"/>a)nagkai/wn, kaloume/nwn de\ kai\ au)tw=n mhxanikw=n [1be/lh ga\r <lb n="18"/>kai\ li/qina kai\ sidhra= kai\ ta\ paraplh/sia tou/tois e)capo<lb n="19"/>ste/lletai ei)s makro\n o(dou= mh=kos toi=s u(p' au)tw=n ginome/nois <lb n="20"/>o)rga/nois katapaltikoi=s]1, pro\s de\ tau/tais h( tw=n i)di/ws <lb n="21"/>pa/lin kaloume/nwn mhxanopoiw=n [1e)k ba/qous ga\r pollou= <lb n="22"/>u(/dwr eu)kolw/teron a)na/getai dia\ tw=n a)ntlhmatikw=n o)rga/<lb n="23"/>nwn w(=n au)toi\ kataskeua/zousin]1. </s>

<s id="id.000008">kalou=si de\ mhxanikou\s <lb n="24"/>oi( palaioi\ kai\ tou\s qaumasiourgou\s, w(=n oi( me\n dia\ pneu<lb n="25"/>ma/twn filotexnou=sin, w(s *(/hrwn pneumatikoi=s, oi( de\ dia\ neu<lb n="26"/>ri/wn kai\ spa/rtwn e)myu/xwn kinh/seis dokou=si mimei=sqai, w(s <lb n="27"/>*(/hrwn au)toma/tois kai\ zugi/ois, a)/lloi de\ dia\ tw=n e)f' u(/datos <lb n="28"/>o)xoume/nwn, w(s *)arximh/dhs o)xoume/nois, h)\ tw=n di' u(/datos w(ro- <lb n="29"/><pb n="1026"/>logi/wn, w(s *(/hrwn u(drei/ois, a(\ dh\ kai\ th=| gnwmonikh=| qewri/a| koi<lb n="1"/>nwnou=nta fai/netai. </s>

<s id="id.000009">mhxanikou\s de\ kalou=sin kai\ tou\s ta\s <lb n="2"/>sfairopoii/+as [poiei=n] e)pistame/nous, u(f' w(=n ei)kw\n tou= ou)ra<lb n="3"/>nou= kataskeua/zetai di' o(malh=s kai\ e)gkukli/ou kinh/sews u(/datos. <lb n="4"/></s>

<s id="id.000010">*pa/ntwn de\ tou/twn th\n ai)ti/an kai\ to\n lo/gon e)pegnw<lb n="5"/>ke/nai fasi/n tines to\n *surako/sion *)arximh/dh: mo/nos ga\r <lb n="6"/>ou(=tos e)n tw=| kaq' h(ma=s bi/w| poiki/lh| pro\s pa/nta ke/xrhtai <lb n="7"/>th=| fu/sei kai\ th=| e)pinoi/a|, kaqw\s kai\ *gemi=nos o( maqhma<lb n="8"/>tiko\s e)n tw=| peri\ th=s tw=n maqhma/twn ta/cew/s fhsin. </s>

<s id="id.000011">*ka/r<lb n="9"/>pos de\ pou/ fhsin o( *)antioxeu\s *)arximh/dh to\n *surako/sion <lb n="10"/>e(\n mo/non bibli/on suntetaxe/nai mhxaniko\n to\ kata\ th\n sfai<lb n="11"/>ropoii/+an, tw=n de\ a)/llwn ou)de\n h)ciwke/nai sunta/cai. </s>

<s id="id.000012">kai/toi <lb n="12"/>para\ toi=s polloi=s e)pi\ mhxanikh=| docasqei\s kai\ megalo<lb n="13"/>fuh/s tis geno/menos o( qaumasto\s e)kei=nos, w(/ste diamei=nai <lb n="14"/>para\ pa=sin a)nqrw/pois u(perballo/ntws u(mnou/menos, tw=n <lb n="15"/>te prohgoume/nwn gewmetrikh=s kai\ a)riqmhtikh=s e)xome/nwn <lb n="16"/>qewri/as [kai\] ta\ braxu/tata dokou=nta ei)=nai spoudai/ws <lb n="17"/>sune/grafen: o(\s fai/netai ta\s ei)rhme/nas e)pisth/mas ou(/tws <lb n="18"/>a)gaph/sas w(s mhde\n e)/cwqen u(pome/nein au)tai=s e)peisa/gein. <lb n="19"/></s>

<s id="id.000013">au)to\s de\ *ka/rpos kai\ a)/lloi tine\s sunexrh/santo gewmetri/a| <lb n="20"/>kai\ ei)s te/xnas tina\s eu)lo/gws: gewmetri/a ga\r ou)de\n bla/pte<lb n="21"/>tai, swmatopoiei=n pefukui=a polla\s te/xnas, dia\ tou= sun<lb n="22"/>ei=nai au)tai=s [mh/thr ou)=n w(/sper ou)=sa texnw=n ou) bla/ptetai <lb n="23"/>dia\ tou= fronti/zein o)rganikh=s kai\ a)rxitektonikh=s: ou)de\ ga\r <lb n="24"/>dia\ to\ sunei=nai gewmori/a| kai\ gnwmonikh=| kai\ mhxanikh=| kai\ <lb n="25"/><pb n="1028"/>skhnografi/a| bla/ptetai/ ti], tou)nanti/on de\ proa/gousa me\n <lb n="1"/>tau/tas fai/netai, timwme/nh de\ kai\ kosmoume/nh deo/ntws u(p' <lb n="2"/>au)tw=n. <lb n="3"/></s>

<s id="id.000014">*toiau/ths de\ th=s mhxanikh=s e)pisth/mhs o(mou= kai\ te/xnhs <lb n="4"/>u(parxou/shs kai\ ei)s tosau=ta me/rh dih|rhme/nhs kalw=s e)/xein <lb n="5"/>e)no/misa ta/ te lo/gw| gewmetrikw=| qewrou/mena [kai\ a)nagkaio/<lb n="6"/>tata peri\ th\n tw=n barw=n ki/nhsin kei/mena de\] para\ toi=s <lb n="7"/>palaioi=s kai\ ta\ u(f' h(mw=n eu)xrh/stws a)neurhme/na qewrh/<lb n="8"/>mata suntomw/teron kai\ safe/steron a)nagra/yai belti/oni/ te <lb n="9"/>lo/gw| tou= para\ toi=s pro/teron a)nagegramme/nou sunta/cai, <lb n="10"/>oi(=on ba/rous doqe/ntos u(po\ doqei/shs [u(podoxh=s] a)gome/nou <lb n="11"/>duna/mews e)n tw=| para\ to\n o(ri/zonta e)pipe/dw|, kai\ e(te/rou <lb n="12"/>e)pipe/dou keklime/nou pro\s to\ u(pokei/menon doqei=san gwni/an <lb n="13"/>u(potiqe/ntos, eu(rei=n th\n du/namin u(f' o(/shs a)xqh/setai to\ <lb n="14"/>ba/ros e)n tw=| keklime/nw| e)pipe/dw| (tou=to de\ xrh/simon toi=s <lb n="15"/>mhxanikoi=s magganari/ois: prosqe/ntes ga\r th=| eu(reqei/sh| <lb n="16"/>duna/mei e(te/ran tina\ du/namin a)ndrw=n qarsou=ntes a)na/gousin <lb n="17"/>to\ ba/ros), kai\ du/o doqeisw=n eu)qeiw=n a)ni/swn du/o me/sas <lb n="18"/>a)na/logon eu(rei=n e)n sunexei= a)nalogi/a| (dia\ ga\r tou= qewrh/<lb n="19"/>matos tou/tou pa=n to\ doqe\n stereo\n sxh=ma kata\ to\n do<lb n="20"/>qe/nta lo/gon au)/cetai/ te kai\ meiou=tai), kai\ pw=s dunato/n <lb n="21"/>e)sti tumpa/nou doqe/ntos kai\ tou= plh/qous tw=n skutalw=n <lb n="22"/>au)tou= [doqe/ntwn h)\ o)do/ntwn] paraqei=nai au)tw=| tu/mpanon <lb n="23"/>doqe\n e)/xon to\ plh=qos tw=n o)do/ntwn kai\ eu(rei=n th\n dia/me<lb n="24"/>tron tou= paratiqeme/nou tumpa/nou (tou=to ga\r xrh/simon ei)s <lb n="25"/>polla\ kai\ th=| tw=n mhxanopoiw=n te/xnh| dia\ th\n para/qesin <lb n="26"/>tw=n skutalwtw=n tumpa/nwn). </s>

<s id="id.000014">*toiau/ths de\ th=s mhxanikh=s e)pisth/mhs o(mou= kai\ te/xnhs <lb n="4"/>u(parxou/shs kai\ ei)s tosau=ta me/rh dih|rhme/nhs kalw=s e)/xein <lb n="5"/>e)no/misa ta/ te lo/gw| gewmetrikw=| qewrou/mena [kai\ a)nagkaio/<lb n="6"/>tata peri\ th\n tw=n barw=n ki/nhsin kei/mena de\] para\ toi=s <lb n="7"/>palaioi=s kai\ ta\ u(f' h(mw=n eu)xrh/stws a)neurhme/na qewrh/<lb n="8"/>mata suntomw/teron kai\ safe/steron a)nagra/yai belti/oni/ te <lb n="9"/>lo/gw| tou= para\ toi=s pro/teron a)nagegramme/nou sunta/cai, <lb n="10"/>oi(=on ba/rous doqe/ntos u(po\ doqei/shs [u(podoxh=s] a)gome/nou <lb n="11"/>duna/mews e)n tw=| para\ to\n o(ri/zonta e)pipe/dw|, kai\ e(te/rou <lb n="12"/>e)pipe/dou keklime/nou pro\s to\ u(pokei/menon doqei=san gwni/an <lb n="13"/>u(potiqe/ntos, eu(rei=n th\n du/namin u(f' o(/shs a)xqh/setai to\ <lb n="14"/>ba/ros e)n tw=| keklime/nw| e)pipe/dw| [1tou=to de\ xrh/simon toi=s <lb n="15"/>mhxanikoi=s magganari/ois: prosqe/ntes ga\r th=| eu(reqei/sh| <lb n="16"/>duna/mei e(te/ran tina\ du/namin a)ndrw=n qarsou=ntes a)na/gousin <lb n="17"/>to\ ba/ros]1, kai\ du/o doqeisw=n eu)qeiw=n a)ni/swn du/o me/sas <lb n="18"/>a)na/logon eu(rei=n e)n sunexei= a)nalogi/a| [1dia\ ga\r tou= qewrh/<lb n="19"/>matos tou/tou pa=n to\ doqe\n stereo\n sxh=ma kata\ to\n do<lb n="20"/>qe/nta lo/gon au)/cetai/ te kai\ meiou=tai]1, kai\ pw=s dunato/n <lb n="21"/>e)sti tumpa/nou doqe/ntos kai\ tou= plh/qous tw=n skutalw=n <lb n="22"/>au)tou= [doqe/ntwn h)\ o)do/ntwn] paraqei=nai au)tw=| tu/mpanon <lb n="23"/>doqe\n e)/xon to\ plh=qos tw=n o)do/ntwn kai\ eu(rei=n th\n dia/me<lb n="24"/>tron tou= paratiqeme/nou tumpa/nou [1tou=to ga\r xrh/simon ei)s <lb n="25"/>polla\ kai\ th=| tw=n mhxanopoiw=n te/xnh| dia\ th\n para/qesin <lb n="26"/>tw=n skutalwtw=n tumpa/nwn]1. </s>

<s id="id.000015">e(/kaston de\ tou/twn e)n tw=| oi)<lb n="27"/>kei/w| to/pw| genh/setai fanero\n meta\ kai\ a)/llwn xrhsi/mwn <lb n="28"/>a)rxite/ktoni kai\ mhxanikw=|, e)a\n pro/teron ta\ sune/xonta th\n <lb n="29"/>kentrobarikh\n pragmatei/an ei)/pwmen e(ch=s. <lb n="30"/><pb n="1030"/></s>

<s id="id.000016">*ti/ me\n ou)=n e)stin to\ baru\ kai\ to\ kou=fon, kai\ ti/s ai)<lb n="1"/>ti/a th=s a)/nw kai\ ka/tw toi=s sw/masi fora=s, kai\ au)to/ ge to\ <lb n="2"/>a)/nw kai\ ka/tw ti/nos e)nnoi/as e)/xetai kai\ ti/sin a)fw/ristai <lb n="3"/>pe/rasin, ou)de\n dei= le/gesqai par' h(mw=n to\ nu=n, e)peidh\ <lb n="4"/>peri\ tou/twn e)n toi=s maqhmatikoi=s u(po\ tou= *ptolemai/ou <lb n="5"/>dedh/lwtai, to\ de\ ke/ntron tou= ba/rous e)ka/stou sw/matos, <lb n="6"/>o(\ th=s kentrobarikh=s pragmatei/as a)rxh\ kai\ stoixei=o/n e)stin, <lb n="7"/>e)c h(=s kai\ ta\ loipa\ me/rh th=s mhxanikh=s a)nh/rthtai, ti/ pot' <lb n="8"/>e)sti\n kai\ ti/ bou/letai lekte/on: e)k tou/tou ga/r, oi)=mai, kai\ <lb n="9"/>ta\ loipa\ tw=n e)n th=| pragmatei/a| qewroume/nwn e)/stai safh=. <lb n="10"/></s>

<s id="id.000017">le/gomen de\ ke/ntron ba/rous e(ka/stou sw/matos ei)=nai shmei=o/n <lb n="11"/>ti kei/menon e)nto/s, a)f' ou(= kat' e)pi/noian a)rthqe\n to\ ba/ros <lb n="12"/>h)remei= fero/menon kai\ fula/ssei th\n e)c a)rxh=s qe/sin [ou) mh\ <lb n="13"/>peritrepo/menon e)n th=| fora=|]. </s>

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<s id="id.000074">e)pei\ ou)=n e)stin w(s to\ *b*d parallhlo/grammon pro\s to\ *g*d*l <lb n="23"/>tri/gwnon, ou(/tws h( *q*k pro\s th\n *k*h, a)ll' w(s to\ par<lb n="24"/>allhlo/grammon pro\s to\ tri/gwnon, ou(/tws h( *b*l pro\s th\n <lb n="25"/>h(mi/seian th=s *l*g, w(s de\ h( *k*q pro\s th\n *k*h, ou(/tws h( *n*l <lb n="26"/><pb n="1044"/>pro\s th\n *l*m dia\ to\ ei)s parallh/lous ta\s *h*m *e*l *q*n <lb n="1"/>dih=xqai ta\s *h*k*q *m*l*n, kai\ w(s a)/ra h( *b*l pro\s th\n h(mi/<lb n="2"/>seian th=s *l*g, ou(/tws h( *n*l pro\s th\n *l*m h(mi/seian ou)=san <lb n="3"/>th=s *b*l: kai\ w(s a)/ra h( *b*l pro\s th\n diplasi/an, toute/stin <lb n="4"/>pro\s th\n *l*g, ou(/tws h( *l*n pro\s th\n diplasi/an th=s *m*l, <lb n="5"/>toute/stin th\n *b*l: to\ a)/ra a)po\ th=s *b*l i)/son e)sti\n tw=| u(po\ <lb n="6"/>*g*l*n. </s>

<s id="id.000076"> w(s de\ h( *g*l pro\s *l*n, ou(/tws to\ a)po\ th=s *g*l te<lb n="8"/>tra/gwnon pro\s to\ a)po\ th\s *b*l tetra/gwnon. </s>

<s id="id.000077">kai\ triplh= <lb n="9"/>e)stin h( *g*l th=s *l*n (e)pei\ kai\ h( *g*e triplh= e)stin th=s *e*q: <lb n="10"/>diplh= ga\r h( *g*q th=s *e*q): tripla/sion a)/ra to\ a)po\ *g*l <lb n="11"/>tou= a)po\ *l*b. </s>

<s id="id.000077">kai\ triplh= <lb n="9"/>e)stin h( *g*l th=s *l*n [1e)pei\ kai\ h( *g*e triplh= e)stin th=s *e*q: <lb n="10"/>diplh= ga\r h( *g*q th=s *e*q]1: tripla/sion a)/ra to\ a)po\ *g*l <lb n="11"/>tou= a)po\ *l*b. </s>

<s id="id.000079">dio\ dh\ th\n *b*g temo/ntes kata\ to\ *l, w(/ste <lb n="13"/>to\ a)po\ *g*l tou= a)po\ *l*b ei)=nai tripla/sion, e(/comen to\ *d <lb n="14"/>th=s a)rth/sews shmei=on. </s>

<s id="id.000080">te/mnetai de\ h( *b*g ou(/tws. <lb n="15"/></s>

Line 102

<s id="id.000085">*(omoi/ws kai\ ei)s to\n doqe/nta lo/gon duna/mei tmhqh/setai <lb n="27"/>h( *a*d eu)qei=a kai\ pa=sa h( doqei=sa eu)qei=a. <lb n="28"/><pb n="1046"/></s>

<s id="id.000087">*qe/sei ai( *a*b *a*g, kai\ doqe\n to\ *b, kai\ dih/xqw h( <lb n="1"/>*g*d a)pote/mnousa doqe/nta lo/gon to\n th=s *a*g pro\s *b*d: <lb n="2"/>dei=cai o(/ti tou= *a*g*d trigw/nou to\ ke/ntron tou= ba/rous e)sti\ <lb n="3"/>pro\s qe/sei. <lb n="4"/></s>

<s id="id.000088">*tetmh/sqw h( *a*g di/xa tw=| *e, kai\ e)pizeuxqei=sa h( *d*e <lb n="5"/>tetmh/sqw kata\ to\ *z, w(/ste th\n *e*z tri/ton me/ros ei)=nai th=s <lb n="6"/>@3*e*d: to\ *z a)/ra ke/ntron ba/rous e)sti\n <lb n="7"/>tou= *a*g*d trigw/nou (tou=to ga\r pro<lb n="8"/>de/deiktai). </s>

<s id="id.000089">h)/xqw dh\ th=| *a*e para/l<lb n="9"/>lhlos h( *z*h, kai\ th=s *a*b tri/ton <lb n="10"/>me/ros e)/stw h( *a*q. </s>

<s id="id.000090">e)/stin de\ kai\ <lb n="11"/>h( *a*h tri/ton me/ros th=s *a*d, e)pei\ <lb n="12"/>kai\ h( *e*z th=s *e*d: kai\ loipo\n ou)=n <lb n="13"/>h( *q*h tri/ton me/ros e)sti\n th=s *b*d. <lb n="14"/></s>

<s id="id.000091">lo/gos de\ th=s *b*d pro\s th\n *a*g do<lb n="15"/>qei/s [th=s de\ *a*g pro\s th\n *z*h: <lb n="16"/>triplasi/a ga\r au)th=s e)stin, o(/ti kai\ <lb n="17"/>h( me\n *d*a th=s *d*h h(mioli/a e)sti/n, <lb n="18"/>toute/stin h( *a*e th=s *z*h, h( de\ *g*a <lb n="19"/>th=s *a*e diplh=]: lo/gos a)/ra kai\ th=s <lb n="20"/>*h*q pro\s th=n *h*z doqei/s. </s>

<s id="id.000092">kai\ do<lb n="21"/>qei=sa h( pro\s tw=| *h gwni/a (kai\ ga\r <lb n="22"/>h( pro\s tw=| *a): doqei=sa a)/ra kai\ h( u(po\ *h*q*z gwni/a. </s>

<s id="id.000092">kai\ do<lb n="21"/>qei=sa h( pro\s tw=| *h gwni/a [1kai\ ga\r <lb n="22"/>h( pro\s tw=| *a]1: doqei=sa a)/ra kai\ h( u(po\ *h*q*z gwni/a. </s>

<s id="id.000093">kai\ <lb n="23"/>doqe\n to\ *q: qe/sei a)/ra h( *q*z eu)qei=a, kai\ e)/stin e)p' au)th=s <lb n="24"/>to\ *z ke/ntron. <lb n="25"/></s>

<s id="id.000094">*tau=ta me\n ou)=n kai\ ta\ toiau=ta qewri/an e)/xei, ta\ de\ <lb n="26"/>kai\ ei)s xrei/an duna/mena pesei=n mhxanikh\n toiau=t' a)\n ei)/h. <lb n="27"/><pb n="1048"/></s>

Line 127

<s id="id.000110">w(s ou)=n e)kkli=nai dunato/n <lb n="23"/>e)stin e)pi/pedon e)n th=| doqei/sh| gwni/a pro\s e)pi/pedon, duna- <lb n="24"/><pb n="1054"/>to/n e)stin a)/ra kai\ e)kkeklime/nou th\n kli/sin ei)pei=n, toute/stin <lb n="1"/>e)n poi/a| gwni/a| ke/klitai to\ e)pi/pedon pro\s to\ para/llhlon <lb n="2"/>tw=| o(ri/zonti. <lb n="3"/></s>

<s id="id.000112">*ba/rous doqe/ntos u(po\ doqei/shs a)gome/nou duna/mews <lb n="4"/>e)n tw=| para\ to\n o(ri/zonta e)pipe/dw| kai\ e(te/rou e)pipe/dou <lb n="5"/>keklime/nou pro\s to\ u(pokei/menon doqei=san gwni/an u(poti<lb n="6"/>qe/ntos, eu(rei=n th\n du/namin u(f' o(/shs a)xqh/setai to\ ba/ros <lb n="7"/>e)n tw=| keklime/nw| e)pipe/dw|. <lb n="8"/></s>

<s id="id.000113">3@*)/estw to\ me\n dia\ th=s *m*n eu)<lb n="9"/>qei/as e)pi/pedon to\ u(pokei/menon, to\ <lb n="10"/>de\ dia\ th=s *m*k keklime/non pro\s <lb n="11"/>au)to\ gwni/an doqei=san th\n u(po\ <lb n="12"/>*k*m*n u(potiqe/n, ba/ros de/ ti to\ *a <lb n="13"/>kinei/sqw u(po\ duna/mews th=s *g <lb n="14"/>e)pi\ tou= u(pokeime/nou e)pipe/dou, kai\ <lb n="15"/>noei/sqw tw=| *a i)sobarh\s sfai=ra <lb n="16"/>h( peri\ ke/ntron to\ *e, kai\ kei/sqw <lb n="17"/>e)pi\ tou= dia\ tw=n *m *k e)pipe/dou <lb n="18"/>yau/ousa au)tou= kata\ to\ *l sh<lb n="19"/>mei=on, w(s e)/stin sfairikw=n g# qew<lb n="20"/>rh/mati: h( a)/ra *e*l e)pizeuxqei=sa <lb n="21"/>ka/qetos e)/stai e)pi\ to\ e)pi/pedon <lb n="22"/>(kai\ tou=to ga\r de/deiktai qewrh/<lb n="23"/>mati d# sfairikw=n), w(/ste kai\ <lb n="24"/>pro\s th\n *k*m ka/qeto/s e)stin h( *e*l. </s>

<s id="id.000113">3@*)/estw to\ me\n dia\ th=s *m*n eu)<lb n="9"/>qei/as e)pi/pedon to\ u(pokei/menon, to\ <lb n="10"/>de\ dia\ th=s *m*k keklime/non pro\s <lb n="11"/>au)to\ gwni/an doqei=san th\n u(po\ <lb n="12"/>*k*m*n u(potiqe/n, ba/ros de/ ti to\ *a <lb n="13"/>kinei/sqw u(po\ duna/mews th=s *g <lb n="14"/>e)pi\ tou= u(pokeime/nou e)pipe/dou, kai\ <lb n="15"/>noei/sqw tw=| *a i)sobarh\s sfai=ra <lb n="16"/>h( peri\ ke/ntron to\ *e, kai\ kei/sqw <lb n="17"/>e)pi\ tou= dia\ tw=n *m *k e)pipe/dou <lb n="18"/>yau/ousa au)tou= kata\ to\ *l sh<lb n="19"/>mei=on, w(s e)/stin sfairikw=n g# qew<lb n="20"/>rh/mati: h( a)/ra *e*l e)pizeuxqei=sa <lb n="21"/>ka/qetos e)/stai e)pi\ to\ e)pi/pedon <lb n="22"/>[1kai\ tou=to ga\r de/deiktai qewrh/<lb n="23"/>mati d# sfairikw=n]1, w(/ste kai\ <lb n="24"/>pro\s th\n *k*m ka/qeto/s e)stin h( *e*l. </s>

<s id="id.000114">e)kbeblh/sqw to\ dia\ <lb n="25"/>tw=n *k*m *e*l e)pi/pedon kai\ poiei/tw tomh\n e)n th=| sfai/ra| <lb n="26"/>ku/klon to\n *l*h*c, kai\ h)/xqw dia\ tou= *e ke/ntrou th=| *m*n <lb n="27"/>para/llhlos h( *e*q, kai\ ka/qetos e)p' au)th\n a)po\ tou= *l h( <lb n="28"/>*l*z. </s>

<s id="id.000115">e)pei\ ou)=n doqei=sa/ e)stin h( u(po\ *e*q*l gwni/a (i)/sh ga/r <lb n="29"/><pb n="1056"/>e)stin th=| u(po\ *k*m*n doqei/sh| [o)cei/a|] gwni/a|), doqei=sa a)/ra <lb n="1"/>kai\ h( u(po\ *e*l*z i)/sh ou)=sa th=| u(po\ *e*q*l (i)sogw/nion ga/r <lb n="2"/>e)stin to\ *e*q*l tw=| *e*l*z trigw/nw|): doqe\n a)/ra to\ *e*l*z <lb n="3"/>tri/gwnon tw=| ei)/dei: lo/gos a)/ra th=s *e*l, toute/stin th=s *e*h, <lb n="4"/>pro\s *e*z doqei/s: kai\ loiph=s a)/ra th=s *z*h pro\s *e*z lo/gos <lb n="5"/>@3e)sti\n doqei/s. </s>

<s id="id.000115">e)pei\ ou)=n doqei=sa/ e)stin h( u(po\ *e*q*l gwni/a [1i)/sh ga/r <lb n="29"/><pb n="1056"/>e)stin th=| u(po\ *k*m*n doqei/sh| [o)cei/a|] gwni/a|]1, doqei=sa a)/ra <lb n="1"/>kai\ h( u(po\ *e*l*z i)/sh ou)=sa th=| u(po\ *e*q*l [1i)sogw/nion ga/r <lb n="2"/>e)stin to\ *e*q*l tw=| *e*l*z trigw/nw|]1: doqe\n a)/ra to\ *e*l*z <lb n="3"/>tri/gwnon tw=| ei)/dei: lo/gos a)/ra th=s *e*l, toute/stin th=s *e*h, <lb n="4"/>pro\s *e*z doqei/s: kai\ loiph=s a)/ra th=s *z*h pro\s *e*z lo/gos <lb n="5"/>@3e)sti\n doqei/s. </s>

<s id="id.000116">pepoih/sqw ou)=n w(s <lb n="6"/>h( *h*z pro\s *z*e, ou(/tws to\ me\n *a <lb n="7"/>ba/ros pro\s to\ *b, h( de\ *g du/namis <lb n="8"/>pro\s th\n *d. </s>

<s id="id.000117">kai\ e)/stin tou= *a du/<lb n="9"/>namis h( *g: kai\ tou= *b a)/ra du/na<lb n="10"/>mis e)n tw=| au)tw=| e)pipe/dw| e)/stai h( <lb n="11"/>*d. </s>

<s id="id.000118">kai\ e)pei/ e)stin w(s h( *h*z eu)<lb n="12"/>qei=a pro\s th\n *z*e, ou(/tws to\ *a <lb n="13"/>ba/ros pro\s to\ *b, a)\n teqh=| ta\ *a <lb n="14"/>*b ba/rh peri\ ke/ntra ta\ *e *h, <lb n="15"/>i)sorroph/sei a)rtw/mena a)po\ tou= *z <lb n="16"/>shmei/ou [h)\ e)pi\ u(poqe/matos kei/<lb n="17"/>mena tou= *l*z o)rqou= pro\s to\n o(ri/<lb n="18"/>zonta]. </s>

<s id="id.000119">kei=tai de\ to\ *a ba/ros peri\ <lb n="19"/>ke/ntron to\ *e (a)nt' au)tou= ga\r h( <lb n="20"/>sfai=ra): teqe\n a)/ra to\ *b ba/ros <lb n="21"/>peri\ ke/ntron to\ *h i)sorroph/sei th=| sfai/ra|, w(/ste mh\ kata<lb n="22"/>fe/resqai th\n sfai=ran dia\ th\n kli/sin tou= e)pipe/dou, a)ll' <lb n="23"/>e)festa/nai a)rreph=, w(s ei) kai\ e)pi\ tou= u(pokeime/nou e(stw=sa <lb n="24"/>e)tu/gxanen. </s>

<s id="id.000119">kei=tai de\ to\ *a ba/ros peri\ <lb n="19"/>ke/ntron to\ *e [1a)nt' au)tou= ga\r h( <lb n="20"/>sfai=ra]1: teqe\n a)/ra to\ *b ba/ros <lb n="21"/>peri\ ke/ntron to\ *h i)sorroph/sei th=| sfai/ra|, w(/ste mh\ kata<lb n="22"/>fe/resqai th\n sfai=ran dia\ th\n kli/sin tou= e)pipe/dou, a)ll' <lb n="23"/>e)festa/nai a)rreph=, w(s ei) kai\ e)pi\ tou= u(pokeime/nou e(stw=sa <lb n="24"/>e)tu/gxanen. </s>

<s id="id.000121">kai\ e)/stin doqei=sa <lb n="28"/>h( *d du/namis. <lb n="29"/></s>

<s id="id.000122">*(h me\n ou)=n gewmetrikh\ tou= problh/matos a)na/lusis u(po<lb n="30"/>de/deiktai, i(/na de\ kai\ e)pi\ paradei/gmatos poihsw/meqa th/n <lb n="31"/><pb n="1058"/>te kataskeuh\n kai\ th\n a)po/deicin, e)/stw to\ me\n *a ba/ros <lb n="1"/>tala/ntwn, ei) tu/xoi, s# a)go/menon e)n tw=| parallh/lw| o(ri/zonti <lb n="2"/>e)pipe/dw| u(po\ th=s *g kinou/shs duna/mews, toute/stin oi( ki<lb n="3"/>nou=ntes e)/stwsan a)/nqrwpoi m#, h( de\ u(po\ *k*m*n gwni/a, tout<lb n="4"/>e/stin h( u(po\ *e*q*l, dimoi/rou o)rqh=s: kai\ loiph\ a)/ra h( u(po\ <lb n="5"/>*z*l*q tri/tou o)rqh=s. </s>

<s id="id.000123">kai\ e)/stin o)rqh\ h( u(po\ *e*l*q: dimoi/rou <lb n="6"/>a)/ra kai\ h( u(po\ *e*l*z: oi(/wn a)/ra ai( d# o)rqai\ tc# toiou/twn <lb n="7"/>c# h( u(po\ *e*l*z, kai\ tou= perigrafome/nou a)/ra peri\ to\ *e*z*l <lb n="8"/>tri/gwnon o)rqogw/nion ku/klou h( me\n e)pi\ th=s *e*z perife/reia$ <lb n="9"/>toiou/twn e)/stai rk# oi(/wn o( ku/klos tc#, au)th\ de\ h( *e*z toi<lb n="10"/>ou/twn rd# e)/ggista oi(/wn h( *e*l tou= ku/klou dia/metros rk#: <lb n="11"/>tau=ta ga\r dh=la e)k tou= kano/nos tw=n e)gkukli/wn eu)qeiw=n tou= <lb n="12"/>kata\ *ptolemai=on [o)/ntos] keime/nou e)n tw=| a# tw=n maqhma<lb n="13"/>tikw=n. </s>

<s id="id.000124">lo/gos a)/ra th=s *e*l, toute/stin th=s *e*h, pro\s *e*z, <lb n="14"/>o(\n rk# pro\s rd#: kai\ loiph=s a)/ra th=s *h*z pro\s *z*e lo/gos <lb n="15"/>o(\n i#2# pro\s rd#. </s>

<s id="id.000125">tou/tw| de\ o( au)to/s e)stin o( tou= *a ba/rous <lb n="16"/>pro\s to\ *b, kai\ th=s *g duna/mews pro\s th\n *d, kai\ e)/stin to\ <lb n="17"/>me\n *a ba/ros tala/ntwn s#, h( de\ kinou=sa du/namis a)ndrw=n m#: <lb n="18"/>e)/stai a)/ra kai\ to\ me\n *b ba/ros tala/ntwn #22at#, h( de\ *d du/<lb n="19"/>namis a)nqrw/pwn sc# (w(s ga\r i#2# pro\s rd#, ou(/tws s# pro\s <lb n="20"/>#22at# kai\ m# pro\s sc#): tou= a)/ra *a ba/rous tala/ntwn s# ki<lb n="21"/>noume/nou e)n parallh/lw| tw=| o(ri/zonti e)pipe/dw| u(po\ tw=n m <lb n="22"/>a)ndrw=n, to\ au)to\ ba/ros kinhqh/setai u(po\ sunamfote/rwn tw=n <lb n="23"/>proeirhme/nwn a)nqrw/pwn, toute/stin u(po\ t# o(/lwn, e)n e)pi<lb n="24"/>pe/dw| keklime/nw| pro\s to\n o(ri/zonta, th=s u(po\ *k*m*n gwni/as <lb n="25"/>dimoi/rou o)rqh=s u(pokeime/nhs. <lb n="26"/><pb n="1060"/></s>

<s id="id.000125">tou/tw| de\ o( au)to/s e)stin o( tou= *a ba/rous <lb n="16"/>pro\s to\ *b, kai\ th=s *g duna/mews pro\s th\n *d, kai\ e)/stin to\ <lb n="17"/>me\n *a ba/ros tala/ntwn s#, h( de\ kinou=sa du/namis a)ndrw=n m#: <lb n="18"/>e)/stai a)/ra kai\ to\ me\n *b ba/ros tala/ntwn #22at#, h( de\ *d du/<lb n="19"/>namis a)nqrw/pwn sc# [1w(s ga\r i#2# pro\s rd#, ou(/tws s# pro\s <lb n="20"/>#22at# kai\ m# pro\s sc#]1: tou= a)/ra *a ba/rous tala/ntwn s# ki<lb n="21"/>noume/nou e)n parallh/lw| tw=| o(ri/zonti e)pipe/dw| u(po\ tw=n m <lb n="22"/>a)ndrw=n, to\ au)to\ ba/ros kinhqh/setai u(po\ sunamfote/rwn tw=n <lb n="23"/>proeirhme/nwn a)nqrw/pwn, toute/stin u(po\ t# o(/lwn, e)n e)pi<lb n="24"/>pe/dw| keklime/nw| pro\s to\n o(ri/zonta, th=s u(po\ *k*m*n gwni/as <lb n="25"/>dimoi/rou o)rqh=s u(pokeime/nhs. <lb n="26"/><pb n="1060"/></s>

<s id="id.000127">*th=s au)th=s de/ e)stin qewri/as to\ doqe\n ba/ros th=| <lb n="1"/>doqei/sh| duna/mei kinh=sai: tou=to ga\r *)arximh/dous me\n eu(/rhma <lb n="2"/>[le/getai] mhxaniko/n, e)f' w(=| le/getai ei)rhke/nai: do/s moi/ (fhsi) <lb n="3"/>pou= stw= kai\ kinw= th\n gh=n. </s>

<s id="id.000127">*th=s au)th=s de/ e)stin qewri/as to\ doqe\n ba/ros th=| <lb n="1"/>doqei/sh| duna/mei kinh=sai: tou=to ga\r *)arximh/dous me\n eu(/rhma <lb n="2"/>[le/getai] mhxaniko/n, e)f' w(=| le/getai ei)rhke/nai: do/s moi/ [1fhsi]1 <lb n="3"/>pou= stw= kai\ kinw= th\n gh=n. </s>

<s id="id.000128">*(/hrwn de\ o( *)alecandreu\s pa/nu <lb n="4"/>safw=s au)tou= th\n kataskeuh\n e)ce/qeto e)n tw=| kaloume/nw| <lb n="5"/>baroulkw=|, lh=mma labw\n o(/per e)n toi=s mhxanikoi=s a)pe/dei<lb n="6"/>cen, e)/nqa kai\ peri\ tw=n e# duna/mewn dialamba/nei, toute/stin <lb n="7"/>tou= te sfhno\s kai\ moxlou= kai\ koxli/ou kai\ poluspa/stou <lb n="8"/>kai\ a)/conos e)n tw=| peritroxi/w|, di' w(=n to\ doqe\n ba/ros th=| <lb n="9"/>doqei/sh| duna/mei kinei=tai [kaq' e(ka/sthn du/namin]. </s>

<s id="id.000129">e)n de\ tw=| <lb n="10"/>baroulkw=| dia\ tumpa/nwn o)dontwtw=n paraqe/sews e)ki/nei to\ <lb n="11"/>doqe\n ba/ros th=| doqei/sh| duna/mei, th=s diame/trou tou= tum<lb n="12"/>pa/nou pro\s th\n dia/metron tou= a)/conos lo/gon e)xou/shs o(\n e#@3 <lb n="13"/>pro\s a#, tou= kinoume/nou ba/rous u(pokeime/nou tala/ntwn xi<lb n="14"/>li/wn, th=s de\ kinou/shs duna/mews u(pokeime/nhs tala/ntwn e#. <lb n="15"/></s>

<s id="id.000130">*)/estw dh\ h(ma=s e)pi\ diplasi/ou lo/gou to\ au)to\ deiknu/nai, <lb n="16"/>kai\ tala/ntwn rc# o)/ntos tou= kinoume/nou ba/rous a)nti\ xili/wn, <lb n="17"/>kai\ th=s kinou/shs au)to\ duna/mews u(pokeime/nhs tala/ntwn d# <lb n="18"/><pb n="1062"/>a)nti\ e#, toute/stin o( kinw=n a)/nqrwpos duna/sqw kaq' au(to\n <lb n="1"/>a)/neu mhxanh=s e(/lkein ta/lanta d#, kai\ e)/stw to\ ei)rhme/non <lb n="2"/>u(p' au)tou= glwsso/komon to\ *a*b*g*d, kai\ e)n au)tw=| ei)s tou\s <lb n="3"/>makrou\s kai\ parallh/lous toi/xous e)/stw a)/cwn diakei/menos <lb n="4"/>eu)lu/tws strefo/menos o( *e*z, tou/tw| de\ sumfue\s e)/stw tu/m<lb n="5"/>panon w)dontwme/non [a)kti=sin o)dontwtoi=s] to\ *h*q, e)/xon th\n <lb n="6"/>dia/metron diplasi/an th=s diame/trou [th=s *e*z diagwni/ou] <lb n="7"/>tou= a)/conos th=s kata\ ko/trafon [gi/netai ga\r tetra/gwnos me\n <lb n="8"/>peri\ me/son e)pi\ tosou=ton mh=kos, o(/son e)sti\n to\ pa/xos tou= <lb n="9"/>tumpa/nou ei)s o(\ e)narmo/zetai a)sfalw=s, stroggu/los de/ pws <lb n="10"/>h)\ leloifwme/nos e)k tw=n e)f' e(ka/tera tou= tumpa/nou merw=n]. <lb n="11"/></s>

Line 149

<s id="id.000132">e)peilou/mena de\ ta\ e)k tou= ba/rous <lb n="3"/>[o(\ kalei=tai forti/on] o(/pla kinh/sei to\ ba/ros. </s>

<s id="id.000133">i(/na de\ kinhqh=| <lb n="4"/>to\ *h*q tu/mpanon, deh/sei du/namin parasxei=n tala/ntwn <lb n="5"/>plei=on p# dia\ to\ th\n dia/metron tou= tumpa/nou th=s dia<lb n="6"/>me/trou tou= a)/conos ei)=nai diplasi/an: tou=to ga\r pro/blhma/ <lb n="7"/>e)stin u(po\ *(/hrwnos deiknu/menon e)n toi=s mhxanikoi=s. </s>

<s id="id.000134">[kai\ <lb n="8"/>a)/lla plei=sta problh/mata tw=n xrhsimwta/twn kai\ biwfe<lb n="9"/>lw=n ge/graptai]. <lb n="10"/></s>

<s id="id.000135">*)epei\ ou)=n ou)k e)/xomen th\n doqei=san du/namin tala/ntwn <lb n="11"/>p#, a)lla\ tala/ntwn d#, gegone/tw e(/teros a)/cwn parakei/menos <lb n="12"/>para/llhlos tw=| *e*z o( *k*l, e)/xwn sumfue\s tu/mpanon w)don<lb n="13"/>twme/non to\ *m*n, w(/ste tou\s o)do/ntas au)tou= e)narmo/zein toi=s <lb n="14"/>o)dou=si tou= *h*q tumpa/nou: tou=to de\ gi/netai, e)a\n h)=| w(s h( <lb n="15"/>dia/metros tou= *h*q tumpa/nou pro\s th\n dia/metron tou= *m*n, <lb n="16"/>ou(/tws to\ plh=qos tw=n o)do/ntwn tou= *h*q pro\s to\ plh=qos <lb n="17"/>tw=n o)do/ntwn tou= *m*n (pw=s de\ tou=to gi/netai dia\ tw=n e(ch=s dh=<lb n="18"/>lon e)/stai): doqe\n me\n a)/ra e)sti\n kai\ to\ *m*n tu/mpanon. <lb n="19"/></s>

<s id="id.000135">*)epei\ ou)=n ou)k e)/xomen th\n doqei=san du/namin tala/ntwn <lb n="11"/>p#, a)lla\ tala/ntwn d#, gegone/tw e(/teros a)/cwn parakei/menos <lb n="12"/>para/llhlos tw=| *e*z o( *k*l, e)/xwn sumfue\s tu/mpanon w)don<lb n="13"/>twme/non to\ *m*n, w(/ste tou\s o)do/ntas au)tou= e)narmo/zein toi=s <lb n="14"/>o)dou=si tou= *h*q tumpa/nou: tou=to de\ gi/netai, e)a\n h)=| w(s h( <lb n="15"/>dia/metros tou= *h*q tumpa/nou pro\s th\n dia/metron tou= *m*n, <lb n="16"/>ou(/tws to\ plh=qos tw=n o)do/ntwn tou= *h*q pro\s to\ plh=qos <lb n="17"/>tw=n o)do/ntwn tou= *m*n [1pw=s de\ tou=to gi/netai dia\ tw=n e(ch=s dh=<lb n="18"/>lon e)/stai]1: doqe\n me\n a)/ra e)sti\n kai\ to\ *m*n tu/mpanon. <lb n="19"/></s>

<s id="id.000136">tw=| d' au)tw=| a)/coni tw=| *k*l sumfue\s e)/stw tu/mpanon to\ *c*o, <lb n="20"/>e)/xon th\n dia/metron diplasi/an th=s tou= *m*n tumpa/nou dia<lb n="21"/>me/trou. </s>

<s id="id.000137">dia\ dh\ tou=to deh/sei to\n boulo/menon kinei=n dia\ <lb n="22"/>tou= *c*o tumpa/nou to\ ba/ros e)/xein du/namin tala/ntwn m#, <lb n="23"/>e)peidh/per ta\ p# ta/lanta dipla/sia/ e)stin tw=n m# tala/n<lb n="24"/>twn. <lb n="25"/></s>

<s id="id.000138">*pa/lin de\ parakei/sqw tw=| *c*o tumpa/nw| [o)dontwqe/nti] <lb n="26"/><pb n="1066"/>e(/teron tu/mpanon w)dontwme/non to\ *p*r sumfue\s e(te/rw| a)/coni, <lb n="1"/>tw=| d' au)tw=| a)/coni e(/teron sumfue\s tu/mpanon to\ *s*t, e)/xon <lb n="2"/>me\n o(moi/ws diplasi/an th\n dia/metron th=s tou= *p*r tumpa/nou <lb n="3"/>diame/trou, tou\s de\ o)do/ntas mh\ sumplekome/nous toi=s o)dou=si <lb n="4"/>tou= *m*n tumpa/nou: h( a)/ra dia\ tou= *s*t tumpa/nou kinou=sa <lb n="5"/>to\ ba/ros du/namis e)/stai tala/ntwn k#. </s>

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<s id="id.000170">a)\n dh\ peri\ ta\ *q *k *l *m *n sh<lb n="9"/>mei=a gra/ywmen e)/lleiyin, o( e)la/sswn au)th=s a)/cwn dia/metros <lb n="10"/>e)/stai tou= ku/klou tou= to\n ku/lindron a)pergasame/nou. <lb n="11"/></s>

<s id="id.000172">*zhtoume/nou dh\ peri\ pe/nte ta\ doqe/nta shmei=a e)n <lb n="12"/>e(ni\ e)pipe/dw| kei/mena ta\ *q *k *l *m *n e)/lleiyin gra/yai, <lb n="13"/>perigegra/fqw, kai\ e)pizeuxqei=sai ai( *q*n *m*k pro/teron <lb n="14"/>e)/stwsan para/llhloi, kai\ di/xa tetmh/sqw e(kate/ra au)tw=n <lb n="15"/>toi=s *a *b, kai\ e)pizeuxqei=sa h( *a*b e)kbeblh/sqw e)pi\ ta\ <lb n="16"/>*e *z th=s e)llei/yews shmei=a: h( *e*z a)/ra dia/metro/s e)stin th=s <lb n="17"/>e)llei/yews dia\ to\n i# o(/ron tw=n kwnikw=n, qe/sei dedome/nh: <lb n="18"/>doqe\n ga\r kai\ e(ka/teron tw=n *a *b shmei/wn th=| qe/sei. </s>

<s id="id.000173">h)/xqw <lb n="19"/>dh\ dia\ tou= *l th=| *e*z para/llhlos h( *l*c, kai\ e)pizeuxqei=sai <lb n="20"/>ai( *c*k *l*m sumpipte/twsan th=| *q*n e)kblhqei/sh| kata\ ta\ <lb n="21"/>*p *h: doqe/nta a)/ra ta\ *g *h (doqe\n ga\r e(/kaston tw=n *l *m <lb n="22"/><pb n="1078"/>*q *n). </s>

<s id="id.000173">h)/xqw <lb n="19"/>dh\ dia\ tou= *l th=| *e*z para/llhlos h( *l*c, kai\ e)pizeuxqei=sai <lb n="20"/>ai( *c*k *l*m sumpipte/twsan th=| *q*n e)kblhqei/sh| kata\ ta\ <lb n="21"/>*p *h: doqe/nta a)/ra ta\ *g *h [1doqe\n ga\r e(/kaston tw=n *l *m <lb n="22"/><pb n="1078"/>*q *n]1. </s>

<s id="id.000174">kai\ e)pei\ w(s to\ u(po\ *c*d*l pro\s to\ u(po\ tw=n *m*d*k, <lb n="1"/>ou(/tws to\ u(po\ *c*g*l pro\s e(ka/teron tw=n u(po\ *h*g*p *n*g*q, <lb n="2"/>e)/stai a)/ra i)/son to\ u(po\ *h*g*p tw=| u(po\ *n*g*q. </s>

<s id="id.000175">kai\ e)/stin <lb n="3"/>doqe\n to\ u(po\ *n*g*q (doqei=sa ga\r e(kate/ra): doqe\n a)/ra to\ <lb n="4"/>*p. </s>

<s id="id.000175">kai\ e)/stin <lb n="3"/>doqe\n to\ u(po\ *n*g*q [1doqei=sa ga\r e(kate/ra]1: doqe\n a)/ra to\ <lb n="4"/>*p. </s>

<s id="id.000179">e)pizeux<lb n="6"/>qei=sai dh\ ai( *n*c *l*q sumpipte/twsan th=| *e*z diame/trw| <lb n="7"/>e)kblhqei/sh| kata\ ta\ *r *s: e)/stai dh\ pa/lin w(s to\ u(po\ *n*g*q <lb n="8"/>pro\s to\ u(po\ *c*g*l, ou(/tws to\ u(po\ *n*a*q pro\s e(ka/teron <lb n="9"/>tw=n u(po\ *r*a*s *e*a*z, kai\ dia\ tou=to i)/son to\ u(po\ *r*a*s tw=|@3 <lb n="10"/>u(po\ *e*a*z. </s>

<s id="id.000180">kai\ e)/stin doqe\n to\ u(po\ *r*a*s (doqei=sai ga/r <lb n="11"/>ei)sin ai( *r*a *a*s): doqe\n a)/ra kai\ to\ u(po\ *e*a *a*z. </s>

<s id="id.000180">kai\ e)/stin doqe\n to\ u(po\ *r*a*s [1doqei=sai ga/r <lb n="11"/>ei)sin ai( *r*a *a*s]1: doqe\n a)/ra kai\ to\ u(po\ *e*a *a*z. </s>

<s id="id.000181">tw=| <lb n="12"/>d' o(moi/w| tro/pw| deixqh/setai kai\ to\ u(po\ *e*b*z doqe/n. </s>

<s id="id.000182">kai\ <lb n="13"/>doqe/nta ta\ *a *b: doqe/nta a)/ra kai\ ta\ *e *z, w(s e(ch=s deix<lb n="14"/>qh/setai: w(/ste h( *e*z dia/metros de/dotai tw=| mege/qei. </s>

<s id="id.000183">dh=lon <lb n="15"/>d' o(/ti kai\ h( suzugh\s au)th=|: de/dotai ga\r o( th=s *e*z plagi/as <lb n="16"/><pb n="1080"/>pro\s th\n o)rqi/an au)th=s lo/gos o( au)to\s w)\n tw=| tou= u(po\ *e*a*z <lb n="1"/>pro\s to\ a)po\ *a*n. <lb n="2"/></s>

<s id="id.000185">*to\ u(perteqe/n. </s>

<s id="id.000186">e)/stw doqe\n e(ka/teron tw=n u(po\ *a*g*b <lb n="3"/>*a*d*b, kai\ doqe/nta ta\ *g *d: o(/ti ta\ *a *b doqe/nta e)sti/n. <lb n="4"/></s>

<s id="id.000187">*)/estw ga\r tw=| me\n u(po\ *a*g*b i)/son to\ u(po\ *d*g*e, tw=| <lb n="5"/>de\ u(po\ *a*d*b i)/son to\ u(po\ *g*d*z: e)/stai a)/ra w(s h( *g*e pro\s <lb n="6"/>th\n *e*a, ou(/tws h( *a*z pro\s *z*d (dia\ ga\r th\n kataskeuh\n <lb n="7"/>e(ka/teros lo/gos o( au)to/s e)stin tw=| th=s *g*b pro\s *b*d): i)/son <lb n="8"/>a)/ra to\ u(po\ *e*g *z*d tw=| u(po\ *e*a*z, w(/ste kai\ to\ *a sh<lb n="9"/>mei=on doqe/n. </s>

<s id="id.000187">*)/estw ga\r tw=| me\n u(po\ *a*g*b i)/son to\ u(po\ *d*g*e, tw=| <lb n="5"/>de\ u(po\ *a*d*b i)/son to\ u(po\ *g*d*z: e)/stai a)/ra w(s h( *g*e pro\s <lb n="6"/>th\n *e*a, ou(/tws h( *a*z pro\s *z*d [1dia\ ga\r th\n kataskeuh\n <lb n="7"/>e(ka/teros lo/gos o( au)to/s e)stin tw=| th=s *g*b pro\s *b*d]1: i)/son <lb n="8"/>a)/ra to\ u(po\ *e*g *z*d tw=| u(po\ *e*a*z, w(/ste kai\ to\ *a sh<lb n="9"/>mei=on doqe/n. </s>

<s id="id.000190">*mh\ e)/stwsan dh\ ai( ta\ *n *q *m *k dedome/na e)pi\ <lb n="11"/>th=s e)llei/yews shmei=a e)pizeugnu/ousai para/llhloi, kai\ e)pi<lb n="12"/>zeuxqei=sai ai( *n*k *m*q temne/twsan a)llh/las kata\ to\ *t, <lb n="13"/>kai\ dia\ tou= *l para/llhlos h)/xqw th=| *m*q h( *l*u*f: e)/stai <lb n="14"/>@3dh\ lo/gos tou= u(po\ *n*u*k <lb n="15"/>pro\s to\ u(po\ *l*u*f doqei\s$ <lb n="16"/>(o( au)to\s ga\r tw=| tou= u(po\ <lb n="17"/>*n*t*k pro\s to\ u(po\ *m*t*q). <lb n="18"/></s>

<s id="id.000190">*mh\ e)/stwsan dh\ ai( ta\ *n *q *m *k dedome/na e)pi\ <lb n="11"/>th=s e)llei/yews shmei=a e)pizeugnu/ousai para/llhloi, kai\ e)pi<lb n="12"/>zeuxqei=sai ai( *n*k *m*q temne/twsan a)llh/las kata\ to\ *t, <lb n="13"/>kai\ dia\ tou= *l para/llhlos h)/xqw th=| *m*q h( *l*u*f: e)/stai <lb n="14"/>@3dh\ lo/gos tou= u(po\ *n*u*k <lb n="15"/>pro\s to\ u(po\ *l*u*f doqei\s$ <lb n="16"/>[1o( au)to\s ga\r tw=| tou= u(po\ <lb n="17"/>*n*t*k pro\s to\ u(po\ *m*t*q]1. <lb n="18"/></s>

<s id="id.000191">kai\ doqe\n to\ u(po\ *n*u*k: <lb n="19"/>doqe\n a)/ra kai\ to\ u(po\ <lb n="20"/>*l*u*f: kai\ doqe/nta ta\ *l*u: <lb n="21"/>doqe\n a)/ra to\ *f: a)ph=k<lb n="22"/>tai ou)=n ei)s to\ progegram<lb n="23"/>me/non, peri\ pe/nte shmei=a <lb n="24"/>ta\ *n *m *l *f *q gra/yai e)/lleiyin th\n *n*m*l*f*q parallh/<lb n="25"/>lwn u(pokeime/nwn tw=n *m*q *f*l. <lb n="26"/><pb n="1082"/></s>

<s id="id.000193">*(ra/|dion de\ suzugw=n diame/trwn e)llei/yews porisqei<lb n="1"/>sw=n w(ntinwnou=n tou\s a)/conas au)th=s o)rganikw=s eu(rei=n. </s>

<s id="id.000194">me<lb n="2"/>qodeu/etai de\ to\n tro/pon tou=ton. <lb n="3"/></s>

<s id="id.000195">*)ekkei/sqwsan ai( proeureqei=sai th=s e)llei/yews dia/me<lb n="4"/>troi suzugei=s ai( *a*b *g*d di/xa te/mnousai a)llh/las kata\ <lb n="5"/>to\ *e, kai\ dia\ me\n tou= *a th=| *g*d para/llhlos h)/xqw h( *z*h, <lb n="6"/>tw=| de\ a)po\ *d*e i)/son kei/sqw to\ u(po\ *e*a*q, kai\ h( *e*q di/xa@3 <lb n="7"/>tetmh/sqw kata\ to\ *k: e)/stai dh\ to\ *k metacu\ tw=n *a *q (mei/<lb n="8"/>zwn ga/r e)stin h( *d*e th=s *e*a), kai\ th=| *e*q pro\s o)rqa\s a)po\ <lb n="9"/>tou= *k h)/xqw h( *k*l te/mnousa th\n *z*h kata\ to\ *l, kai\ peri\ <lb n="10"/>ke/ntron to\ *l dia\ tou= *e grafome/nh ku/klou perife/reia tem<lb n="11"/>ne/tw th\n *h*z kata\ ta\ *z *h, kai\ e)pezeu/xqwsan ai( *e*h <lb n="12"/>*e*z, kai\ ka/qetoi h)/xqwsan e)p' au)ta\s ai( *a*m *a*n, kai\ tw=| <lb n="13"/>me\n u(po\ *h*e*m i)/son kei/sqw e(ka/teron tw=n a)po\ *e*o *e*p, <lb n="14"/>tw=| de\ u(po\ *z*e*n e(ka/teron tw=n a)po\ *e*r *e*s: e)/sontai ou)=n <lb n="15"/>eu(rhme/noi th=s e)llei/yews a)/cones oi( *o*p *r*s, w(=n o( e)la/xi- <lb n="16"/><pb n="1084"/>stos i)/sos e)/stai tw=| tou= kuli/ndrou pa/xei, kaqw\s e)n a)rxh=| <lb n="1"/>proei/rhtai. <lb n="2"/></s>

<s id="id.000195">*)ekkei/sqwsan ai( proeureqei=sai th=s e)llei/yews dia/me<lb n="4"/>troi suzugei=s ai( *a*b *g*d di/xa te/mnousai a)llh/las kata\ <lb n="5"/>to\ *e, kai\ dia\ me\n tou= *a th=| *g*d para/llhlos h)/xqw h( *z*h, <lb n="6"/>tw=| de\ a)po\ *d*e i)/son kei/sqw to\ u(po\ *e*a*q, kai\ h( *e*q di/xa@3 <lb n="7"/>tetmh/sqw kata\ to\ *k: e)/stai dh\ to\ *k metacu\ tw=n *a *q [1mei/<lb n="8"/>zwn ga/r e)stin h( *d*e th=s *e*a]1, kai\ th=| *e*q pro\s o)rqa\s a)po\ <lb n="9"/>tou= *k h)/xqw h( *k*l te/mnousa th\n *z*h kata\ to\ *l, kai\ peri\ <lb n="10"/>ke/ntron to\ *l dia\ tou= *e grafome/nh ku/klou perife/reia tem<lb n="11"/>ne/tw th\n *h*z kata\ ta\ *z *h, kai\ e)pezeu/xqwsan ai( *e*h <lb n="12"/>*e*z, kai\ ka/qetoi h)/xqwsan e)p' au)ta\s ai( *a*m *a*n, kai\ tw=| <lb n="13"/>me\n u(po\ *h*e*m i)/son kei/sqw e(ka/teron tw=n a)po\ *e*o *e*p, <lb n="14"/>tw=| de\ u(po\ *z*e*n e(ka/teron tw=n a)po\ *e*r *e*s: e)/sontai ou)=n <lb n="15"/>eu(rhme/noi th=s e)llei/yews a)/cones oi( *o*p *r*s, w(=n o( e)la/xi- <lb n="16"/><pb n="1084"/>stos i)/sos e)/stai tw=| tou= kuli/ndrou pa/xei, kaqw\s e)n a)rxh=| <lb n="1"/>proei/rhtai. <lb n="2"/></s>

<s id="id.000197">*sfai/ras metew/rou doqei=san qe/sin e)xou/shs pro\s <lb n="3"/>to\ u(pokei/menon, eu(rei=n to/ te shmei=on e)f' o(\ pi/ptei kaqeti<lb n="4"/>kw=s e)nexqei=sa [kai\ kaq' o(\ pi/ptei shmei=on] kai\ th\n e)la<lb n="5"/>xi/sthn a)potemnome/nhn a)po\ th=s kaqe/tou metacu\ tw=n du/o <lb n="6"/>shmei/wn tou= te kata\ th\n e)pifa/neian th=s sfai/ras kai\ tou= <lb n="7"/>kata\ to\ e)pi/pedon. </s>

<s id="id.000198">progra/fetai de\ to\ ku/klou doqe/ntos me<lb n="8"/>tew/rou mh\ e)n o)rqw=| e)pipe/dw| pro\s to\ u(pokei/menon eu(rei=n th/n <lb n="9"/>te koinh\n tomh\n tw=n e)pipe/dwn a)mfote/rwn kai\ th\n kli/sin. <lb n="10"/></s>

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<s id="id.000221">*sfai/ras u(pokeime/nhs kai\ shmei/ou doqe/ntos e)kto\s <lb n="21"/>au)th=s, eu(rei=n to\ shmei=on kaq' o(\ h( a)po\ tou= doqe/ntos e)pi\ <lb n="22"/>to\ ke/ntron e)pizeugnume/nh te/mnei th\n e)pifa/neian. <lb n="23"/></s>

<s id="id.000222">*)/estin de\ fanero/n: a)\n ga\r h(tisou=n a)po\ tou= doqe/ntos <lb n="24"/>eu)qei=a prospesou=sa pro\s th\n e)pifa/neian perienexqh=|, kai\ <lb n="25"/>au(/th gra/yei ku/klon kai\ po/los au)tou= to\ zhtou/menon e)/stai <lb n="26"/>shmei=on. <lb n="27"/></s>

<s id="id.000223">*(upokei/sqw pa/lin h( sfai=ra, kai\ du/o shmei=a dedo/sqw <lb n="28"/>th=s e)pifanei/as e)kto\s a)mfo/tera, kai\ prokei/sqw ta\ sh<lb n="29"/>mei=a labei=n kaq' a(\ h( e)pi\ ta\ doqe/nta e)pizeugnume/nh te/mnei <lb n="30"/>th\n e)pifa/neian. <lb n="31"/><pb n="1096"/></s>

<s id="id.000224">*kei/sqw ga\r h( sfai=ra peri\ ke/ntron to\ *b, kai\ ta\ do<lb n="1"/>qe/nta shmei=a e)kto\s e)/stw ta\ *a *g, kai\ kaq' a(\ sumba/llousin <lb n="2"/>th=| e)pifanei/a| ai( a)po\ tw=n *a *g e)pi\ to\ *b e)pizeugnu/menai <lb n="3"/>ei)lh/fqw shmei=a ta\ *d *e, di' w(=n gegra/fqw me/gistos ku/klos <lb n="4"/>o( *d*e*z*h: doqei=sai a)/ra ai( *a*d *g*e (lh=mma ga/r): kai\ dia\ <lb n="5"/>to\ dedo/sqai th\n e)k tou= ke/ntrou th=s sfai/ras kai\ o(/lai do<lb n="6"/>qh/sontai ai( *a*b *g*b. </s>

<s id="id.000224">*kei/sqw ga\r h( sfai=ra peri\ ke/ntron to\ *b, kai\ ta\ do<lb n="1"/>qe/nta shmei=a e)kto\s e)/stw ta\ *a *g, kai\ kaq' a(\ sumba/llousin <lb n="2"/>th=| e)pifanei/a| ai( a)po\ tw=n *a *g e)pi\ to\ *b e)pizeugnu/menai <lb n="3"/>ei)lh/fqw shmei=a ta\ *d *e, di' w(=n gegra/fqw me/gistos ku/klos <lb n="4"/>o( *d*e*z*h: doqei=sai a)/ra ai( *a*d *g*e [1lh=mma ga/r]1: kai\ dia\ <lb n="5"/>to\ dedo/sqai th\n e)k tou= ke/ntrou th=s sfai/ras kai\ o(/lai do<lb n="6"/>qh/sontai ai( *a*b *g*b. </s>

<s id="id.000225">e)/stin de\ kai\ h( ta\ doqe/nta e)pizeu<lb n="7"/>gnu/ousa h( *a*g doqei=sa. </s>

<s id="id.000226">e)k triw=n ou)=n tw=n *a*b *a*g *g*b <lb n="8"/>tri/gwnon sunesta/tw to\ *q*k*l, kai\ peri\ ke/ntron to\ *q ge<lb n="9"/>gra/fqw ku/klos i)/sos tw=| *e*d*z*h o( *s*m*n*o. </s>

<s id="id.000227">e)a\n me\n ou(=tos <lb n="10"/>te/mnh| th\n *k*l, dh=lon o(/ti kai\ h( e)pi\ ta\ *a *g e)pizeugnume/nh <lb n="11"/>te/mnei th\n sfai=ran, ei) de\ mh/, ou) te/mnei. </s>

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<s id="id.000232">*)/estw o( doqei\s ku/klos peri\ ke/ntron to\ *h, kai\ kei/sqw <lb n="25"/>peri\ to\ au)to\ ke/ntron e(cagw/nou pleura\ h( *q*k, w(/ste e)/stai <lb n="26"/><pb n="1098"/>to\ a)po\ th=s *q*k a)nagrafe\n e(ca/gwnon th\n *m*n pleura\n e)/xon <lb n="1"/>e)nhrmosme/nhn th=| tou= ku/klou periferei/a|, kai\ e)pezeu/xqw h( <lb n="2"/>*h*k: e)p' eu)qei/as a)/ra e)sti\n th=| *k*l pleura=| tou= e(cagw/nou, <lb n="3"/>dia\ to\ dimoi/rou me\n ei)=nai th\n u(po\ *h*k*q, o)rqh=s de\ kai\ <lb n="4"/>tri/tou th\n u(po\ *q*k*l. </s>

<s id="id.000233">e)pezeu/xqw h( *h*n. </s>

<s id="id.000234">e)pei\ i)/sai ai( <lb n="5"/>*h*k *k*l, diplh= e)sti\n h( *h*l th=s *l*n. </s>

<s id="id.000235">kai\ doqei=sa h( *l <lb n="6"/>gwni/a (o)rqh=s ga\r kai\ tri/tou): doqe\n a)/ra to\ *n*l*h tri/gwnon <lb n="7"/>tw=| ei)/dei: lo/gos a)/ra th=s *h*n pro\s *n*l doqei/s. </s>

<s id="id.000235">kai\ doqei=sa h( *l <lb n="6"/>gwni/a [1o)rqh=s ga\r kai\ tri/tou]1: doqe\n a)/ra to\ *n*l*h tri/gwnon <lb n="7"/>tw=| ei)/dei: lo/gos a)/ra th=s *h*n pro\s *n*l doqei/s. </s>

<s id="id.000236">kai\ doqei=sa <lb n="8"/>h( *h*n: doqei=sa a)/ra kai\ h( *n*l pleura\ tou= e(cagw/nou. <lb n="9"/></s>

<s id="id.000237">*to\ de\ o)rganiko\n ou(/tws: e)kkei/sqw th=s e)k tou= ke/ntrou <lb n="10"/>tou= ku/klou tri/ton me/ros h( *a*g, kai\ e)p' au)th=s tmh=ma ku/<lb n="11"/>klou to\ *a*b*g gwni/an dexo/menon dimoi/rou o)rqh=s, kai\ oi(/wn <lb n="12"/>e)sti\n h( *a*g e#, toiou/twn d# a)peilh/fqw h( *g*e, kai\ h)/xqw <lb n="13"/>e)faptome/nh h( *b*e: le/gw o(/ti h( *a*b e)pizeuxqei=sa i)/sh e)sti\n <lb n="14"/>th=| *q*k tou= e(cagw/nou pleura=|. <lb n="15"/></s>

<s id="id.000238">*)ekbeblh/sqw h( *b*g, kai\ th=| *a*b i)/sh a)fh|rh/sqw h( *b*d: <lb n="16"/>i)so/pleuron a)/ra to\ *a*b*d. </s>

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<s id="id.000259">kai\ fanero\n o(/ti <lb n="8"/>a)po\ th=s i)/shs th=| *a*b eu)qei/as gi/netai h( tw=n z# ei)s to\n <lb n="9"/>ku/klon e(cagw/nwn e)ggrafh/. <lb n="10"/></s>

<s id="id.000261">*pw=s de\ kai\ h( tw=n proeirhme/nwn tumpa/nwn gi/netai <lb n="11"/>para/qesis, nu=n e)rou=men. <lb n="12"/></s>

<s id="id.000262">*)/estw ga\r du/o tu/mpana e)/ntorna kai\ parakei/mena a)l<lb n="13"/>lh/lois ta\ *a *b, kai\ e)/stw w(s h( dia/metros tou= *a pro\s th\n <lb n="14"/><pb n="1104"/>dia/metron tou= *b, ou(/tws to\ plh=qos tw=n o)do/ntwn tou= *a <lb n="1"/>pro\s to\ plh=qos tw=n o)do/ntwn tou= *b: ou(/tws ga\r h( para/<lb n="2"/>qesis tw=n tumpa/nwn sw/|zetai dia\ to\ ei)=nai w(s th\n peri/<lb n="3"/>metron tou= ku/klou pro\s th\n peri/metron, ou(/tws th\n dia/<lb n="4"/>metron pro\s th\n dia/metron (tou=to ga\r e(ch=s). </s>

<s id="id.000263">u(pokei/sqw <lb n="5"/>dh\ to\ me\n *a o)do/ntwn c#, to\ de\ *b o)do/ntwn m#: le/gw o(/ti <lb n="6"/>e)sti\n w(s to\ ta/xos tou= *a pro\s to\ ta/xos tou= *b, ou(/tws to\ <lb n="7"/>plh=qos tw=n o)do/ntwn tou= *b pro\s to\ plh=qos tw=n o)do/ntwn <lb n="8"/>tou= *a. <lb n="9"/></s>

<s id="id.000264">*)epei\ ga\r para/keitai a)llh/lois ta\ *a *b, o(/sous a)\n <lb n="10"/>o)do/ntas kinhqh=| to\ *b, tosou/tous o)do/ntas kinhqh/setai kai\ <lb n="11"/>to\ *a: o(/tan a)/ra to\ *b strefo/menon mi/an a)pokata/stasin <lb n="12"/>poih/shtai, to/te to\ *a m# o)do/ntas kinhqh/setai, w(/ste kai/, <lb n="13"/>o(/tan to\ *b c# a)pokatasta/seis poih/shtai, o(/son e)sti\n to\ <lb n="14"/>plh=qos tw=n o)do/ntwn tou= *a, to/te to\ *a o)do/ntas kinhqh/<lb n="15"/>setai #22bu#, o(/son e)sti\n to\ plh=qos tw=n o)do/ntwn tou= *a e)pi\ <lb n="16"/>to\ plh=qos tw=n o)do/ntwn tou= *b. </s>

<s id="id.000265">o(moi/ws de\ deixqh/setai <lb n="17"/>kai/, o(/tan to\ *a m# a)pokatasta/seis poih/shtai, o(/son e)sti\n <lb n="18"/>to\ plh=qos tw=n o)do/ntwn tou= *b, to/te to\ *b o)do/ntas kekinh<lb n="19"/>me/non #22bu#, o(/son e)sti\n to\ plh=qos tw=n o)do/ntwn tou= *b e)pi\ <lb n="20"/>to\ plh=qos tw=n o)do/ntwn tou= *a: o(/tan a)/ra to\ *a a)pokata<lb n="21"/>sta/seis poih/shtai m#, o(/son e)sti\n to\ plh=qos tw=n o)do/ntwn <lb n="22"/>tou= *b, to/te kai\ to\ *b a)pokatasta/seis poiei=tai c#, o(/son <lb n="23"/>e)sti\n to\ plh=qos tw=n o)do/ntwn tou= *a: e)/stin a)/ra w(s to\ <lb n="24"/>ta/xos tou= *a pro\s to\ ta/xos tou= *b, ou(/tws to\ plh=qos tw=n <lb n="25"/>o)do/ntwn tou= *b pro\s to\ plh=qos tw=n o)do/ntwn tou= *a. <lb n="26"/></s>

<s id="id.000267">*(/oti de\ ai( tw=n ku/klwn perife/reiai pro\s a)llh/las <lb n="27"/>ei)si\n w(s ai( dia/metroi, nu=n dei/comen. <lb n="28"/><pb n="1106"/></s>

<s id="id.000268">*)/estwsan ga\r du/o ku/kloi oi( *a*b *g*d, kai\ dia/metroi <lb n="1"/>au)tw=n ai( *a*b *g*d: le/gw o(/ti e)sti\n w(s h( tou= *a*b ku/klou <lb n="2"/>perife/reia pro\s th\n tou= *g*d ku/klou perife/reian, ou(/tws h( <lb n="3"/>*a*b dia/metros pro\s th\n *g*d. <lb n="4"/></s>

<s id="id.000269">*)epei\ ga/r e)stin w(s o( *a*b ku/klos pro\s to\n *g*d ku/klon, <lb n="5"/>ou(/tws to\ a)po\ th=s *a*b tetra/gwnon pro\s to\ a)po\ th=s *g*d <lb n="6"/>tetra/gwnon, a)lla\ tou= me\n *a*b ku/klou tetrapla/sio/n e)stin <lb n="7"/>to\ periexo/menon o)rqogw/nion u(po/ te th=s *a*b diame/trou kai\ <lb n="8"/>th=s tou= *a*b periferei/as, tou= de\ *g*d ku/klou tetrapla/sio/n <lb n="9"/>e)stin to\ u(po\ th=s *g*d kai\ th=s tou= *g*d periferei/as (to\ ga\r <lb n="10"/>u(po\ th=s e)k tou= ke/ntrou tou= ku/klou kai\ th=s perime/trou tou= <lb n="11"/>ku/klou periexo/menon o)rqogw/nion dipla/sio/n e)stin tou= e)m<lb n="12"/>badou= tou= ku/klou, w(s *)arximh/dhs, kai\ w(s e)n tw=| ei)s to\ <lb n="13"/>prw=ton tw=n maqhmatikw=n sxoli/w| de/deiktai kai\ u(f' h(mw=n <lb n="14"/>di' e(no\s qewrh/matos), kai\ w(s a)/ra to\ u(po\ th=s *a*b kai\ th=s <lb n="15"/>periferei/as tou= *a*b pro\s to\ u(po\ th=s *g*d kai\ th=s tou= *g*d <lb n="16"/>ku/klou periferei/as, ou(/tws to\ a)po\ th=s *a*b tetra/gwnon <lb n="17"/>pro\s to\ a)po\ th=s *g*d. </s>

<s id="id.000269">*)epei\ ga/r e)stin w(s o( *a*b ku/klos pro\s to\n *g*d ku/klon, <lb n="5"/>ou(/tws to\ a)po\ th=s *a*b tetra/gwnon pro\s to\ a)po\ th=s *g*d <lb n="6"/>tetra/gwnon, a)lla\ tou= me\n *a*b ku/klou tetrapla/sio/n e)stin <lb n="7"/>to\ periexo/menon o)rqogw/nion u(po/ te th=s *a*b diame/trou kai\ <lb n="8"/>th=s tou= *a*b periferei/as, tou= de\ *g*d ku/klou tetrapla/sio/n <lb n="9"/>e)stin to\ u(po\ th=s *g*d kai\ th=s tou= *g*d periferei/as [1to\ ga\r <lb n="10"/>u(po\ th=s e)k tou= ke/ntrou tou= ku/klou kai\ th=s perime/trou tou= <lb n="11"/>ku/klou periexo/menon o)rqogw/nion dipla/sio/n e)stin tou= e)m<lb n="12"/>badou= tou= ku/klou, w(s *)arximh/dhs, kai\ w(s e)n tw=| ei)s to\ <lb n="13"/>prw=ton tw=n maqhmatikw=n sxoli/w| de/deiktai kai\ u(f' h(mw=n <lb n="14"/>di' e(no\s qewrh/matos]1, kai\ w(s a)/ra to\ u(po\ th=s *a*b kai\ th=s <lb n="15"/>periferei/as tou= *a*b pro\s to\ u(po\ th=s *g*d kai\ th=s tou= *g*d <lb n="16"/>ku/klou periferei/as, ou(/tws to\ a)po\ th=s *a*b tetra/gwnon <lb n="17"/>pro\s to\ a)po\ th=s *g*d. </s>

<s id="id.000270">kai\ e)nalla\c w(s to\ u(po\ th=s tou= *a*b <lb n="18"/>ku/klou periferei/as kai\ th=s *a*b pro\s to\ a)po\ th=s *a*b, <lb n="19"/>ou(/tws to\ u(po\ th=s tou= *g*d ku/klou periferei/as kai\ th=s *g*d <lb n="20"/>pro\s to\ a)po\ th=s *g*d: kai\ w(s a)/ra h( tou= *a*b ku/klou pe<lb n="21"/>rife/reia pro\s th\n *a*b, ou(/tws h( tou= *g*d perife/reia pro\s th\n$ <lb n="22"/>*g*d (tou=to ga\r prw=to/n e)stin e)n tw=| #2# lambano/menon), kai\ <lb n="23"/>e)nalla\c w(s h( tou= *a*b perife/reia pro\s th\n tou= *g*d peri<lb n="24"/>fe/reian, ou(/tws h( *a*b pro\s th\n *g*d. <lb n="25"/></s>

<s id="id.000270">kai\ e)nalla\c w(s to\ u(po\ th=s tou= *a*b <lb n="18"/>ku/klou periferei/as kai\ th=s *a*b pro\s to\ a)po\ th=s *a*b, <lb n="19"/>ou(/tws to\ u(po\ th=s tou= *g*d ku/klou periferei/as kai\ th=s *g*d <lb n="20"/>pro\s to\ a)po\ th=s *g*d: kai\ w(s a)/ra h( tou= *a*b ku/klou pe<lb n="21"/>rife/reia pro\s th\n *a*b, ou(/tws h( tou= *g*d perife/reia pro\s th\n$ <lb n="22"/>*g*d [1tou=to ga\r prw=to/n e)stin e)n tw=| #2# lambano/menon]1, kai\ <lb n="23"/>e)nalla\c w(s h( tou= *a*b perife/reia pro\s th\n tou= *g*d peri<lb n="24"/>fe/reian, ou(/tws h( *a*b pro\s th\n *g*d. <lb n="25"/></s>

<s id="id.000272">*tumpa/nou doqe/ntos kai\ tou= plh/qous tw=n o)do/ntwn <lb n="26"/>au)tou=, e)piteta/xqw paraqei=nai au)tw=| tu/mpanon doqe\n e)/xon <lb n="27"/><pb n="1108"/>to\ plh=qos tw=n o)do/ntwn kai\ eu(rei=n th\n dia/metron tou= para<lb n="1"/>tiqeme/nou tumpa/nou. <lb n="2"/></s>

<s id="id.000273">*)/estw tu/mpanon to\ *a, ou(= to\ plh=qos tw=n o)do/ntwn <lb n="3"/>e)/stw o( *b a)riqmo\s [mona/dwn c#], kai\ parakei/sqw tw=| *a <lb n="4"/>to\ *g tu/mpanon, ou(= to\ plh=qos tw=n o)do/ntwn e)/stw o( *d <lb n="5"/>a)riqmo\s [mona/dwn m#]: dei= dh\ tou= *g th\n dia/metron eu(rei=n. <lb n="6"/></s>

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<s id="id.000275">w(s de\ h( peri/metros pro\s th\n pe<lb n="12"/>ri/metron, ou(/tws h( dia/metros pro\s th\n dia/metron. </s>

<s id="id.000276">lo/gos <lb n="13"/>de\ tou= *b a)riqmou= pro\s to\n *d a)riqmo\n doqei/s [e)/stin ga\r <lb n="14"/>o( tw=n c# pro\s ta\ m#]: lo/gos a)/ra kai\ th=s diame/trou tou= *a <lb n="15"/>pro\s th\n dia/metron tou= *g doqei/s [o( tw=n c# pro\s ta\ m#]. <lb n="16"/></s>

<s id="id.000277">kai\ e)/stin doqei=sa h( dia/metros tou= *a: doqei=sa a)/ra kai\ <lb n="17"/>h( dia/metros tou= *g [dei= ga\r poiei=n w(s to\n c# a)riqmo\n pro\s <lb n="18"/>to\n m#, ou(/tws th\n dia/metron tou= *a pro\s a)/llhn tina/, kai\ <lb n="19"/>o( peri\ dia/metron e)kei/nhn grafo/menos ku/klos i)/sos e)/stai tw=| <lb n="20"/>zhtoume/nw| tumpa/nw|]. <lb n="21"/></s>

<s id="id.000278">*)organikw=s de\ ou(/tws: e)kkei/sqw tis eu)qei=a h( *e*z te<lb n="22"/>tmhme/nh ei)s i)/sa, i)/sa to\ plh=qos toi=s o)dou=si tou= *a tum<lb n="23"/>pa/nou [toute/stin c#], kai\ pro\s o)rqa\s au)th=| a)xqei=sa kei/sqw <lb n="24"/>diame/trw| tou= *a tumpa/nou i)/sh h( *z*h, kai\ e)pezeu/xqw h( <lb n="25"/>*e*h, kai\ [oi(/wn h( *e*z c#, toiou/twn m#] a)peilh/fqw h( *e*q <lb n="26"/>tou= plh/qous tw=n o)do/ntwn tou= *g ginome/nh, kai\ dia\ tou= *q <lb n="27"/>para/llhlos th=| *z*h h)/xqw h( *q*k: kai\ e)/stai a)/ra h( *q*k i)/sh <lb n="28"/>th=| diame/trw| tou= *g tumpa/nou (fanera\ ga\r h( a)po/deicis). <lb n="29"/></s>

<s id="id.000278">*)organikw=s de\ ou(/tws: e)kkei/sqw tis eu)qei=a h( *e*z te<lb n="22"/>tmhme/nh ei)s i)/sa, i)/sa to\ plh=qos toi=s o)dou=si tou= *a tum<lb n="23"/>pa/nou [toute/stin c#], kai\ pro\s o)rqa\s au)th=| a)xqei=sa kei/sqw <lb n="24"/>diame/trw| tou= *a tumpa/nou i)/sh h( *z*h, kai\ e)pezeu/xqw h( <lb n="25"/>*e*h, kai\ [oi(/wn h( *e*z c#, toiou/twn m#] a)peilh/fqw h( *e*q <lb n="26"/>tou= plh/qous tw=n o)do/ntwn tou= *g ginome/nh, kai\ dia\ tou= *q <lb n="27"/>para/llhlos th=| *z*h h)/xqw h( *q*k: kai\ e)/stai a)/ra h( *q*k i)/sh <lb n="28"/>th=| diame/trw| tou= *g tumpa/nou [1fanera\ ga\r h( a)po/deicis]1. <lb n="29"/></s>

<s id="id.000280">*pw=s de\ kataskeua/zetai koxli/as th\n e(/lika a(rmo<lb n="30"/>sth\n e)/xwn toi=s locoi=s o)dou=si tou= doqe/ntos tumpa/nou, fa<lb n="31"/>nero\n ou(/tws e)/stai. <lb n="32"/><pb n="1110"/></s>

<s id="id.000281">*noei/sqw ku/lindros i)sopaxw=s tetorneume/nos o( *a*d*e*z, <lb n="1"/>pleura\ d' au)tou= h( *a*e, kai\ ei)lh/fqw monostro/fou e(/likos <lb n="2"/>e)p' au)th=s dia/sthma to\ *a*b, kai\ lepi/dion xalkou=n gegenh/<lb n="3"/>sqw, ou(= to\ me\n *h*q*k me/ros tri/gwnon o)rqogw/nion e)/stw <lb n="4"/>o)rqh\n e)/xon th\n *q gwni/an, to\ de\ loipo\n parallhlo/grammon <lb n="5"/>o)rqogw/nion to\ *q*k*l, i)/sh de\ kei/sqw h( *q*h th=| *a*b, h( de\ <lb n="6"/>*q*k th=| perime/trw| tou= *a*d*e*z kuli/ndrou, kai\ perikampte/<lb n="7"/>sqw to\ lepi/dion peri\ to\n ku/lindron, i(/na kai\ to\ *q*k*l <lb n="8"/>parallhlo/grammon ku/lindros ge/nhtai a(pto/menos tou= *d*e, <lb n="9"/>o(/tan ei)saxqh=|, kai\ kei/sqw to\ me\n *q e)pi\ to\ *a, to\ de\ *h <lb n="10"/>e)pi\ to\ *b, kai\ ou(/tws gra/yomen dia\ th=s *h*k u(poteinou/shs <lb n="11"/>kamfqei/shs [de\] th\n kaloume/nhn mono/strofon e(/lika w(s th\n <lb n="12"/>*b*a. </s>

Line 314

<s id="id.000297">pe/nte toi/nun ou)sw=n duna/mewn di' w(=n to\ doqe\n <lb n="7"/>ba/ros th=| doqei/sh| bi/a| kinei=tai, a)nagkai=o/n e)stin ta/ te <lb n="8"/>sxh/mata au)tw=n kai\ ta\s xrei/as e)/ti de\ kai\ ta\ o)no/mata <lb n="9"/>e)kqe/sqai. </s>

<s id="id.000298">a)pode/dotai de\ u(po\ tou= *(/hrwnos kai\ *fi/lwnos <lb n="10"/>kai\ dio/ti ai( proeirhme/nai duna/meis ei)s mi/an a)/gontai fu/sin, <lb n="11"/>kai/toi para\ polu\ dialla/ssousai toi=s sxh/masin. </s>

<s id="id.000299">o)no/mata <lb n="12"/>me\n ou)=n e)stin ta/de: a)/cwn e)n peritroxi/w|, moxlo/s, polu/<lb n="13"/>spaston, sfh/n, kai\ pro\s tou/tois o( kalou/menos a)/peiros <lb n="14"/>koxli/as. <lb n="15"/></s>

<s id="id.000300">*(o me\n ou)=n a)/cwn o( e)n tw=| peritroxi/w| kataskeua/zetai <lb n="16"/>ou(/tws: cu/lon dei= labei=n eu)/tonon tetra/gwnon (kaqa/per do<lb n="17"/>@3ki/da) kai\ tou/tou ta\ a)/kra si<lb n="18"/>mw/santa stroggu/la poih=sai <lb n="19"/>kai\ xoiniki/das periqei=nai <lb n="20"/>xalka=s sunararui/as tw=| a)/coni, <lb n="21"/>w(/ste e)mblhqei/sas au)ta\s ei)s <lb n="22"/>trh/mata stroggu/la e)n a)kinh/<lb n="23"/>tw| tini\ ph/gmati eu)lu/tws stre/<lb n="24"/>fesqai tw=n trhma/twn tribei=s <lb n="25"/>xalkou=s e)xo/ntwn u(pokeime/nous <lb n="26"/>tai=s xoiniki/si: kalei=tai de\ to\ <lb n="27"/>ei)rhme/non cu/lon a)/cwn. </s>

<s id="id.000300">*(o me\n ou)=n a)/cwn o( e)n tw=| peritroxi/w| kataskeua/zetai <lb n="16"/>ou(/tws: cu/lon dei= labei=n eu)/tonon tetra/gwnon [1kaqa/per do<lb n="17"/>@3ki/da]1 kai\ tou/tou ta\ a)/kra si<lb n="18"/>mw/santa stroggu/la poih=sai <lb n="19"/>kai\ xoiniki/das periqei=nai <lb n="20"/>xalka=s sunararui/as tw=| a)/coni, <lb n="21"/>w(/ste e)mblhqei/sas au)ta\s ei)s <lb n="22"/>trh/mata stroggu/la e)n a)kinh/<lb n="23"/>tw| tini\ ph/gmati eu)lu/tws stre/<lb n="24"/>fesqai tw=n trhma/twn tribei=s <lb n="25"/>xalkou=s e)xo/ntwn u(pokeime/nous <lb n="26"/>tai=s xoiniki/si: kalei=tai de\ to\ <lb n="27"/>ei)rhme/non cu/lon a)/cwn. </s>

<s id="id.000301">peri\ <lb n="28"/>de\ me/son to\n a)/cona periti/<lb n="29"/>qetai tu/mpanon e)/xon trh=ma <lb n="30"/>tetra/gwnon a(rmosto\n tw=| a)/coni, w(/ste a(/ma stre/fesqai to/n <lb n="31"/>te a)/cona kai\ to\ peritro/xion. <lb n="32"/><pb n="1118"/></s>

<s id="id.000302">*(h me\n ou)=n kataskeuh\ dedh/lwtai, xrei/a d' e)sti\n h( <lb n="1"/>me/llousa le/gesqai. </s>

<s id="id.000303">o(/tan ga\r boulw/meqa mega/la ba/rh <lb n="2"/>kinei=n e)la/ssoni bi/a|, ta\ e)kdedeme/na e)k tou= ba/rous o(/pla <lb n="3"/>periqe/ntes peri\ ta\ sesimwme/na tou= a)/conos, kai\ e)mbalo/n<lb n="4"/>tes skuta/las ei)s ta\ e)n tw=| peritroxi/w| trh/mata, e)pistre/<lb n="5"/>fomen to\ peritro/xion kata/gontes ta\s skuta/las, kai\ ou(/tws <lb n="6"/>eu)ko/pws kinhqh/setai to\ ba/ros u(po\ e)la/ssonos duna/mews <lb n="7"/>tw=n o(/plwn peri\ to\n a)/cona e)peiloume/nwn [h)\ kai\ diamhruo<lb n="8"/>me/nwn u(po/ tinos pro\s to\ mh\ a(/pan to\ o(/plon perikei=sqai <lb n="9"/>tw=| a)/coni]. </s>

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