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Colored diff for /texts/archimedes/xml/Attic/monan_mecha_01_la_1599.xml between version 1.56 and 1.57

version 1.56, 2003/08/26 21:57:25 version 1.57, 2003/08/27 15:20:09
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 <s>Similia enim <lb/>&longs;unt triangula. </s> <s>Similia enim <lb/>&longs;unt triangula. </s>
  
 <s id="id.001269">Con&longs;i&longs;tens <lb/>vero erit medium vbi e&longs;t <foreign lang="el">g. </foreign><lb/>In contrarium enim extre&shy;<lb/>mo <foreign lang="el">b,</foreign> quod in mari e&longs;t <lb/>procedit <expan abbr="extrem&utilde;">extremum</expan> <foreign lang="el">a,</foreign> quod <lb/>in nauigio e&longs;t. </s> <s id="id.001269">Con&longs;i&longs;tens <lb/>vero erit medium vbi e&longs;t <foreign lang="el">g.</foreign><lb/></s>
  
  <s>In contrarium enim extre&shy;<lb/>mo <foreign lang="el">b,</foreign> quod in mari e&longs;t <lb/>procedit <expan abbr="extrem&utilde;">extremum</expan> <foreign lang="el">a,</foreign> quod <lb/>in nauigio e&longs;t. </s>
  
 <s id="id.001270">Non autem <lb/>ad <foreign lang="el">d</foreign> procederet, ni&longs;i mo&shy;<lb/>ueretur nauis, &amp; eo vbi e&longs;t <lb/>caput remi, transferretur. </s></p><p type="margin"> <s id="id.001270">Non autem <lb/>ad <foreign lang="el">d</foreign> procederet, ni&longs;i mo&shy;<lb/>ueretur nauis, &amp; eo vbi e&longs;t <lb/>caput remi, transferretur. </s></p><p type="margin">
  
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 <s id="id.002477">Ergo in <lb/>tali Rhombo latus A B per A C vna latione motum, plus &longs;patij <lb/>confecit: quam B, quod peragrans B C duabus lationibus ferebatur. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> <s id="id.002477">Ergo in <lb/>tali Rhombo latus A B per A C vna latione motum, plus &longs;patij <lb/>confecit: quam B, quod peragrans B C duabus lationibus ferebatur. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main">
  
 <s id="id.002478"><foreign lang="el">a)/topon ga/r, w(/sper e)le/xqh, to\ <lb/>du/o fora\s fero/menon e)ni/ote bradu/teron fe/resqai tou= mi/an, <lb/>kai\ a)mfote/rwn i)sotaxw=n shmei/wn doqe/ntwn mei/zw diecie/nai <lb/>qa/teron.</foreign></s> <s id="id.002478"><foreign lang="el">a)/topon ga/r, w(/sper e)le/xqh, to\ <lb/>du/o fora\s fero/menon e)ni/ote bradu/teron fe/resqai tou= mi/an, <lb/>kai\ a)mfote/rwn i)sotaxw=n shmei/wn doqe/ntwn, mei/zw diecie/nai <lb/>qa/teron.</foreign></s>
 <s id="g0132314"><foreign lang="el">ai)/tion de\ o(/ti tou= me\n a)po\ th=s a)mblei/as ferome/nou <lb/>sxedo\n e)nanti/ai a)mfo/terai gi/nontai, h(/n te au)th\ <lb/>fe/retai kai\ h(\n u(po\ th=s pleura=s u(pofe/retai, </foreign></s> <s id="g0132314"><foreign lang="el">ai)/tion de\, o(/ti tou= me\n a)po\ th=s a)mblei/as ferome/nou <lb/>sxedo\n e)nanti/ai a)mfo/terai gi/nontai, h(/n te au)th\ <lb/>fe/retai kai\ h(\n u(po\ th=s pleura=s u(pofe/retai. </foreign></s>
 <s id="g0132315"><foreign lang="el">tou= de\ a)po\ <lb/>th=s o)cei/as sumbai/nei fe/resqai e)pi\ to\ au)to/. sunepouri/zei <lb/>ga\r h( th=s pleura=s th\n e)pi\ th=s diame/trou: kai\ o(/sw| a)\n <lb/>th\n me\n o)cute/ran poih/sh|, th\n de\ a)mblute/ran, h( me\n bradute/ra <lb/>e)/stai, h( de\ qa/ttwn.</foreign></s> <s id="g0132315"><foreign lang="el">tou= de\ a)po\ <lb/>th=s o)cei/as, w/(sper sumbai/nei fe/resqai e)pi\ to\ au)to/. </foreign></s>
 <s id="g0132316"><foreign lang="el">ai( me\n ga\r e)nantiw/terai gi/nontai <lb/>dia\ to\ a)mblute/ran gi/nesqai th\n gwni/an, ai( de\ <lb/>ma=llon e)pi\ ta\ au)ta\ dia\ to\ suna/gesqai ta\s gramma/s. <lb/>to\ me\n ga\r *b sxedo\n e)pi\ to\ au)to\ fe/retai kat' a)mfote/ras <lb/>ta\s fora/s: </foreign></s> <s id="g0132315a"><foreign lang="el">sunepouri/zei <lb/>ga\r h( th=s pleura=s, th\n e)pi\ th=s diame/trou: kai\ o(/sw| a)\n <lb/>th\n me\n o)cute/ran poih/sh|, th\n de\ a)mblute/ran, h( me\n bradute/ra <lb/>e)/stai, h( de\ qa/ttwn.</foreign></s>
 <s id="g0132317"><foreign lang="el">sunepouri/zetai ou)=n h( e(te/ra, kai\ o(/sw| a)\n <lb/>o)cute/ra gi/nhtai h( gwni/a, tosou/tw| ma=llon. to\ *a de\ e)pi\ <lb/>tou)nanti/on: au)to\ me\n ga\r pro\s to\ *b fe/retai, h( de\ pleura\ <lb/>u(pofe/rei au)to\ pro\s to\ *d.</foreign></s> <s id="g0132316"><foreign lang="el">ai( me\n ga\r e)nantiw/terai gi/nontai, <lb/>dia\ to\ a)mblute/ran gi/nesqai th\n gwni/an. </foreign></s>
  <s id="g0132316a"><foreign lang="el">ai( de\ <lb/>ma=llon e)pi\ ta\ au)ta\, dia\ to\ suna/gesqai ta\s gramma/s. <lb/></foreign></s>
  <s id="g0132316b"><foreign lang="el">to\ me\n ga\r *a sxedo\n e)pi\ to\ au)to\ fe/retai kat' a)mfote/ras <lb/>ta\s fora/s: sunepouri/zetai ou)=n h( e(te/ra, kai\ o(/sw| a)\n <lb/>o)cute/ra gi/nhtai h( gwni/a, tosou/tw| ma=llon: to\ de\ *a de\ e)pi\ <lb/>tou)nanti/on: au)to\ me\n ga\r pro\s to\ *a fe/retai, h( de\ pleura\ <lb/>u(pofe/rei au)to\ pro\s to\ *g.</foreign></s>
 <s id="g0132318"><foreign lang="el">kai\ o(/sw| a)\n a)mblute/ra h( gwni/a <lb/>h)=|, e)nantiw/terai ai( forai\ gi/nontai: eu)qute/ra ga\r h( <lb/>grammh\ gi/netai.</foreign></s> <s id="g0132318"><foreign lang="el">kai\ o(/sw| a)\n a)mblute/ra h( gwni/a <lb/>h)=|, e)nantiw/terai ai( forai\ gi/nontai: eu)qute/ra ga\r h( <lb/>grammh\ gi/netai.</foreign></s>
 <s id="g0132319"><foreign lang="el">ei) d' o(/lws eu)qei=a ge/noito, pantelw=s a)\n <lb/>ei)/hsan e)nanti/ai. h( de\ pleura\ u(p' ou)qeno\s kwlu/etai mi/an <lb/>ferome/nh fora/n. eu)lo/gws ou)=n th\n mei/zw die/rxetai.</foreign></s></p><p type="main"> <s id="g0132319"><foreign lang="el">ei) d' o(/lws eu)qei=a ge/noito, pantelw=s a)\n <lb/>ei)/hsan e)nanti/ai. h( de\ pleura\ u(p' ou)qeno\s kwlu/etai mi/an <lb/>ferome/nh fora/n. eu)lo/gws ou)=n th\n mei/zw die/rxetai.</foreign></s></p><p type="main">
  
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 <s id="id.002511">H&aelig;c cum ita <lb/>&longs;int nemini ab&longs;urdum videri debet, duo puncta duabus motionibus <lb/>&aelig;quali celeritate mota non &aelig;quale pertran&longs;ire &longs;patium: &longs;ed mu&longs;t&ograve; <lb/>plus maiu&longs;que illorum alterum, vt ex Rhombi natura cert&ograve; demon&shy;<lb/>&longs;tratum e&longs;t. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> <s id="id.002511">H&aelig;c cum ita <lb/>&longs;int nemini ab&longs;urdum videri debet, duo puncta duabus motionibus <lb/>&aelig;quali celeritate mota non &aelig;quale pertran&longs;ire &longs;patium: &longs;ed mu&longs;t&ograve; <lb/>plus maiu&longs;que illorum alterum, vt ex Rhombi natura cert&ograve; demon&shy;<lb/>&longs;tratum e&longs;t. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main">
  
 <s id="id.002512"><foreign lang="el">*dia\ ti/ o( mei/zwn ku/klos <lb/>tw=| e)la/ttoni i)/shn e)celi/tte&shy;<lb/>tai.</foreign></s></p></subchap1></chap><chap><subchap1><p type="main"> <s id="id.002512">25. <foreign lang="el">*dia\ ti/ o( mei/zwn ku/klos <lb/>tw=| e)la/ttoni i)/shn e)celi/tte&shy;<lb/>tai.</foreign></s></p></subchap1></chap><chap><subchap1><p type="main">
  
 <s id="id.002513">25. Cur maior circulus cum <lb/>minore per &aelig;qualem re&shy;<lb/>uoluitur. </s></p><p type="main"> <s id="id.002513">25. Cur maior circulus cum <lb/>minore per &aelig;qualem re&shy;<lb/>uoluitur. </s></p><p type="main">
  
 <s id="id.002514"><foreign lang="el">*)aporei=tai dia\ ti/ pote o( mei/zwn ku/klos tw=| e)la/ttoni <lb/>ku/klw| i)/shn e)celi/ttetai grammh/n, o(/tan peri\ to\ au)to\ ke/ntron <lb/>teqw=si; xwri\s de\ e)kkulio/menoi, w(/sper to\ me/geqos au)tw=n <lb/>pro\s to\ me/geqos e)/xei, ou(/tws kai\ ai( grammai\ au)tw=n <lb/>gi/nontai pro\s a)llh/las.</foreign></s> <s id="id.002514"><foreign lang="el">*)aporei=tai dia\ ti/ pote o( mei/zwn ku/klos tw=| e)la/ttoni <lb/>ku/klw| i)/shn e)celi/ttetai grammh/n, o(/tan peri\ to\ au)to\ ke/ntron <lb/>teqw=si. </foreign></s>
 <s id="g0132402"><foreign lang="el">e)/ti de\ e(no\s kai\ tou= au)tou= ke/ntrou <lb/>o)/ntos a)mfoi=n, o(te\ me\n thlikau/th gi/netai h( grammh\ h(\n <lb/>e)kkuli/ontai, h(li/khn o( e)la/ttwn ku/klos kaq' au(to\n e)kkuli/etai, <lb/>o(te\ de\ o(/shn o( mei/zwn.</foreign></s> <s id="g0132401a"><foreign lang="el">xwri\s de\ e)kkulio/menoi, w(/sper to\ me/geqos au)tw=n <lb/>pro\s to\ me/geqos e)/xei, ou(/tws kai\ ai( grammai\ au)tw=n <lb/>gi/nontai pro\s a)llh/las.</foreign></s>
 <s id="g0132403"><foreign lang="el">o(/ti me\n ou)=n mei/zw e)kkuli/etai <lb/>o( mei/zwn, fanero/n. gwni/a me\n ga\r dokei= kata\ th\n <lb/>ai)/sqhsin ei)=nai h( perife/reia e(ka/stou th=s oi)kei/as diame/trou, <lb/>h( tou= mei/zonos ku/klou mei/zwn, h( de\ tou= e)la/ttonos e)la/ttwn, <lb/>w(/ste to\n au)to\n tou=ton e(/cousi lo/gon, kaq' a(\s e)cekuli/sqhsan<lb/> ai( grammai\ pro\s a)llh/las kata\ th\n ai)/sqhsin.</foreign></s> <s id="g0132402"><foreign lang="el">e)/ti de\ e(no\s kai\ tou= au)tou= ke/ntrou <lb/>o)/ntos a)mfoi=n, o(te\ me\n thlikau/th gi/netai h( grammh\, h(\n <lb/>e)kkuli/ontai, h(li/khn o( e)la/ttwn ku/klos kaq' au(to\n e)kkuli/etai, <lb/>o(te\ de\ o(/shn o( mei/zwn.</foreign></s>
 <s id="g0132404"><foreign lang="el">a)lla\ mh\n <lb/>kai\ o(/ti th\n i)/shn e)kkuli/ontai, o(/tan peri\ to\ au)to\ ke/ntron <lb/>kei/menoi w)=si, dh=lon: kai\ ou(/tws gi/netai o(te\ me\n i)/sh th=| <lb/>grammh=| h(\n o( mei/zwn ku/klos e)kkuli/etai, o(te\ de\ e)la/ttwn.</foreign></s> <s id="g0132403"><foreign lang="el">o(/ti me\n ou)=n mei/zw e)kkuli/etai <lb/>o( mei/zwn, fanero/n. </foreign></s>
  <s id="g0132403a"><foreign lang="el">gwni/a me\n ga\r dokei= kata\ th\n <lb/>ai)/sqhsin ei)=nai h( perife/reia e(ka/stou th=s oi)kei/as diame/trou, <lb/>h( tou= mei/zonos ku/klou mei/zwn, h( de\ tou= e)la/ttonos, e)la/ttwn <lb/>w(/ste to\n au)to\n tou=ton e(/cousi lo/gon, kaq' a(\s e)cekuli/sqhsan<lb/> ai( grammai\ pro\s a)llh/las kata\ th\n ai)/sqhsin.</foreign></s>
 <s id="g0132405"><foreign lang="el"><lb/>e)/stw ga\r ku/klos o( mei/zwn me\n e)f' ou(= ta\ *d*z*g, o( de\ <lb/>e)la/ttwn e)f' ou(= ta\ *e*h*b, ke/ntron de\ a)mfoi=n to\ *a: kai\ <lb/>h(\n me\n e)celi/ttetai kaq' au(to\n o( me/gas, h( e)f' h(=s *z*i e)/stw, <lb/>h(\n de\ o( e)la/ttwn kaq' au(to/n, h( e)f' h(=s *h*k, i)/sh th=| *a*z.</foreign></s> <s id="g0132404"><foreign lang="el">a)lla\ mh\n <lb/>kai\ o(/ti th\n i)/shn e)kkuli/ontai, o(/tan peri\ to\ au)to\ ke/ntron <lb/>kei/menoi w)=si, dh=lon, kai\ ou(/tws gi/netai, o(te\ me\n i)/sh th=| <lb/>grammh=|, h(\n o( mei/zwn ku/klos e)kkuli/etai, o(te\ de\ e)la/ttwn.</foreign></s>
 <s id="g0132406"><foreign lang="el"><lb/>e)a\n dh\ kinw= to\n e)la/ttona, to\ au)to\ ke/ntron kinw=, e)f' ou(= <lb/>to\ *a: o( de\ me/gas proshrmo/sqw. o(/tan ou)=n h( *a*b o)rqh\ ge/nhtai <lb/>pro\s th\n *h*k, a(/ma kai\ h( *a*g gi/netai o)rqh\ pro\s th\n <lb/>*z*l, w(/ste e)/stai i)/shn a)ei\ dielhluqui=a, th\n me\n *h*k, e)f' <lb/>w(=| *h*b perife/reia, th\n de\ *z*l h( e)f' h(=s *z*g.</foreign></s> <s id="g0132405"><foreign lang="el"><lb/>e)/stw ga\r ku/klos o( mei/zwn me\n, e)f' ou(= ta\ *d*z*g, o( de\ <lb/>e)la/ttwn e)f' ou(= ta\ *e*h*b: ke/ntron de\ a)mfoi=n to\ *a, kai\ <lb/>h(\n me\n e)celi/ttetai kaq' au(to\n o( me/gas, h( e)f' h(=s *z*l e)/stw. <lb/></foreign></s>
 <s id="g0132407"><foreign lang="el">ei) de\ to\ <lb/>te/tarton me/ros i)/shn e)celi/ttetai, dh=lon o(/ti kai\ o( o(/los ku/klos <lb/>tw=| o(/lw| ku/klw| i)/shn e)celixqh/setai, w(/ste o(/tan h( *b*h <lb/>grammh\ e)/lqh| e)pi\ to\ *k, kai\ h( *z*g e)/stai perife/reia e)pi\ <lb/>th=s *z*l, kai\ o( ku/klos o(/los e)ceiligme/nos.</foreign></s> <s id="g0132405a"><foreign lang="el">h(\n de\ o( e)la/ttwn kaq' au(to/n, h( e)f' h(=s *h*k, i)/sh th=| *a*z.</foreign></s>
 <s id="g0132408"><foreign lang="el">o(moi/ws de\ kai\ <lb/>e)a\n to\n me/gan kinw=, e)narmo/sas to\n mikro/n, tou= au)tou= ke/ntrou <lb/>o)/ntos, a(/ma th=| *a*g h( *a*b ka/qetos kai\ o)rqh\ e)/stai, h( <lb/>me\n pro\s th\n *z*i, h( de\ pro\s th\n *h*q.</foreign></s> <s id="g0132406"><foreign lang="el"><lb/>e)a\n dh\ kinw= to\n e)la/ttona, to\ au)to\ ke/ntron kinw=, e)f' ou(= <lb/>to\ *a. </foreign></s>
 <s id="g0132409"><foreign lang="el">w(/ste o(/tan i)/shn h( <lb/>me\n th=| *h*q e)/stai dielhluqui=a, h( de\ th=| *z*i, kai\ ge/nhtai <lb/>o)rqh\ pa/lin h( *z*a pro\s th\n *z*l, kai\ h( *a*g o)rqh\ pa/lin, <lb/>w(s to\ e)c a)rxh=s e)/sontai e)pi\ tw=n *q*i.</foreign></s> <s id="g0132406a"><foreign lang="el">o( de\ me/gas proshrmo/sqw. </foreign></s>
 <s id="g0132410"><foreign lang="el">to\ de\ mh/te sta/sews <lb/>ginome/nhs to\ mei=zon tw=| e)la/ttoni, w(/ste me/nein tina\ xro/non <lb/>e)pi\ tou= au)tou= shmei/ou: kinou=ntai ga\r sunexw=s a)/mfw a)mfotera/kis. <lb/>mh\ u(perphdw=ntos tou= e)la/ttonos mhqe\n shmei=on, <lb/>to\n me\n mei/zw tw=| e)la/ttoni i)/shn diecie/nai, to\n de\ tw=| mei/zoni, <lb/>a)/topon.</foreign></s></p><p type="main"> <s id="g0132406b"><foreign lang="el">o(/tan ou)=n h( *a*b o)rqh\ ge/nhtai <lb/>pro\s th\n *h*k, a(/ma kai\ h( *a*g gi/netai o)rqh\ pro\s th\n <lb/>*z*l: w(/ste e)/stai i)/shn a)ei\ dielhluqui=a: th\n me\n *h*k, e)f' <lb/>w(=| *h*b perife/reia, th\n de\ *z*l, h( e)f' h(=s *z*g.</foreign></s>
  <s id="g0132407"><foreign lang="el">ei) de\ to\ <lb/>te/tarton me/ros i)/shn e)celi/ttetai, dh=lon o(/ti kai\ o( o(/los ku/klos <lb/>tw=| o(/lw| ku/klw| i)/shn e)celittetai, w(/ste o(/tan h( *b*h <lb/>grammh\ e)/lqh| e)pi\ to\ *k, kai\ h( *z*g e)/stai perife/reia e)pi\ <lb/>th=s *z*l, kai\ o( ku/klos o(/los e)ceiligme/nos.</foreign></s>
  <s id="g0132408"><foreign lang="el">o(moi/ws de\ kai\ <lb/>e)a\n to\n me/gan kinw=, e)narmo/sas to\n mikro/n, tou= au)tou= ke/ntrou <lb/>o)/ntos, a(/ma th=| *a*g, h( *a*b ka/qetos kai\ o)rqh\ e)/stai, h( <lb/>me\n pro\s th\n *z*i, h( de\ pro\s th\n *h*q.</foreign></s>
  <s id="g0132409"><foreign lang="el">w(/ste o(/tan kat' i)/shn, h( <lb/>me\n th=| *h*q e)/stai dielhluqui=a, h( de\ th=| *z*i, kai\ ge/nhtai <lb/>o)rqh\ pa/lin h( *a*g pro\s th\n *z*i, kai\ h( *a*b o)rqh\ pa/lin, pro\s th\n <lb/>*h*q w(s to\ e)c a)rxh=s e)/sontai e)pi\ tw=n *q*i.</foreign></s>
  <s id="g0132410"><foreign lang="el">to\ de\ mh/te sta/sews <lb/>ginome/nhs tou= mei=zonos tw=| e)la/ttoni, w(/ste me/nein tina\ xro/non <lb/>e)pi\ tou= au)tou= shmei/ou: kinou=ntai ga\r sunexw=s a)/mfw a)mfotera/kis. <lb/></foreign></s>
  <s id="g0132410a"><foreign lang="el">mh/ te u(perphdw=ntos tou= e)la/ttonos mhqe\n shmei=on, <lb/>to\n me\n mei/zw tw=| e)la/ttoni i)/shn diecie/nai, to\n de\ tw=| mei/zoni, <lb/>a)/topon.</foreign></s></p><p type="main">
  
 <s id="id.002515"><expan abbr="Dubi&utilde;">Dubium</expan> e&longs;t cur maior cir&shy;<lb/>culus <expan abbr="&aelig;qual&etilde;">&aelig;qualem</expan> minori circu&shy;<lb/>lo orbitam volutione pera&shy;<lb/>gret, <expan abbr="qu&atilde;do">quando</expan> circa <expan abbr="id&etilde;">idem</expan> <expan abbr="c&etilde;tr&utilde;">centrum</expan> <lb/>po&longs;itus e&longs;t: At <expan abbr="c&utilde;">cum</expan> &longs;eor&longs;um <lb/>voluuntur, vt <expan abbr="hor&utilde;">horum</expan> magni&shy;<lb/>tudines &longs;e <expan abbr="hab&etilde;t">habent</expan> inter &longs;e, ita <lb/><expan abbr="eti&atilde;">etiam</expan> <expan abbr="eor&utilde;">eorum</expan> orbit&aelig;. </s> <s id="id.002515"><expan abbr="Dubi&utilde;">Dubium</expan> e&longs;t cur maior cir&shy;<lb/>culus <expan abbr="&aelig;qual&etilde;">&aelig;qualem</expan> minori circu&shy;<lb/>lo orbitam volutione pera&shy;<lb/>gret, <expan abbr="qu&atilde;do">quando</expan> circa <expan abbr="id&etilde;">idem</expan> <expan abbr="c&etilde;tr&utilde;">centrum</expan> <lb/>po&longs;itus e&longs;t: At <expan abbr="c&utilde;">cum</expan> &longs;eor&longs;um <lb/>voluuntur, vt <expan abbr="hor&utilde;">horum</expan> magni&shy;<lb/>tudines &longs;e <expan abbr="hab&etilde;t">habent</expan> inter &longs;e, ita <lb/><expan abbr="eti&atilde;">etiam</expan> <expan abbr="eor&utilde;">eorum</expan> orbit&aelig;. </s>
  

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