| version 1.49, 2003/08/03 13:34:32 |
version 1.52, 2003/08/06 16:22:30 |
| |
| | |
| <s id="id.000042">Duobus e tuo &longs;anctiore con&longs;ilio de­<lb/>lectis con&longs;iliariis tibi, id e&longs;t patriæ <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.013.jpg"/>&longs;aluti addicti&longs;&longs;imis (permittes bona tua <lb/>venia, Rex clementi&longs;&longs;ime, honoris & <lb/>gratæ erga viros tam bene de te, totaque <lb/>Gallia meritos memoriæ no&longs;træ gratia, <lb/>hîc illos nominari) Pomponio Belle­<lb/>ureo & Nicolao Brulartio, toto tantæ <lb/>molis negotio per te commi&longs;&longs;o, pacem <lb/>tibi, tuis, toti Galliæ honorificenti&longs;&longs;i­<lb/>mam conciliaui&longs;ti: pacem inquam ab­<lb/>&longs;entem, & ad multos annos exulem re­<lb/>duxi&longs;ti: iureiurando &longs;olemni&longs;&longs;imo, &longs;i­<lb/>gillis vtriu&longs;que regni confirmatam per <lb/>præcones tuos proclamari iu&longs;&longs;i&longs;ti: arma <lb/>de manibus militum, quæ erant &longs;umpta <lb/>pro te, & contra te &longs;u&longs;tuli&longs;ti: iam tuo­<lb/>rum in ligones, aratrorum dentes, fal­<lb/>ces, vngues ferreos, vectes, trochleas, <lb/>malleos, aliaque in&longs;trumenta vitæ mi­<lb/>tioris, & pacificæ conuerti&longs;ti: iam arua <lb/>feracis Galliæ recoli cœpta, vbique re­<lb/>uire&longs;cunt: lætæ &longs;egetes, agri vberes cul­<lb/>mis ari&longs;ti&longs;que luxuriant: ex ædificijs &longs;e­<lb/>miruta re&longs;taurantur, dirutorum loco <lb/>noua &longs;tatuuntur: leges liberè pronun­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.014.jpg"/>ciant: iu&longs;ticia libritenens fide zygo&longs;tati­<lb/>ca omnia iudicat: linguarum & bona­<lb/>rum <expan abbr="artiũ">artium</expan>, te earum re&longs;tauratore, & vin­<lb/>dice & cu&longs;tode, eruditio in <expan abbr="Academiã">Academiam</expan> <lb/>reuer&longs;a frequentatur: ingenia, quæ in ea <lb/>&longs;unt præclara, in variarum artium iam <lb/>redundant elegantiam, fœtu&longs;que &longs;uos <lb/>producere ge&longs;tiunt: mercatura denique <lb/>tutò vagatur, peregrinatur, ru&longs;ticatur. <lb/></s> | <s id="id.000042">Duobus e tuo &longs;anctiore con&longs;ilio de­<lb/>lectis con&longs;iliariis tibi, id e&longs;t patriæ <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.013.jpg"/>&longs;aluti addicti&longs;&longs;imis (permittes bona tua <lb/>venia, Rex clementi&longs;&longs;ime, honoris & <lb/>gratæ erga viros tam bene de te, totaque <lb/>Gallia meritos memoriæ no&longs;træ gratia, <lb/>hîc illos nominari) Pomponio Belle­<lb/>ureo & Nicolao Brulartio, toto tantæ <lb/>molis negotio per te commi&longs;&longs;o, pacem <lb/>tibi, tuis, toti Galliæ honorificenti&longs;&longs;i­<lb/>mam conciliaui&longs;ti: pacem inquam ab­<lb/>&longs;entem, & ad multos annos exulem re­<lb/>duxi&longs;ti: iureiurando &longs;olemni&longs;&longs;imo, &longs;i­<lb/>gillis vtriu&longs;que regni confirmatam per <lb/>præcones tuos proclamari iu&longs;&longs;i&longs;ti: arma <lb/>de manibus militum, quæ erant &longs;umpta <lb/>pro te, & contra te &longs;u&longs;tuli&longs;ti: iam tuo­<lb/>rum in ligones, aratrorum dentes, fal­<lb/>ces, vngues ferreos, vectes, trochleas, <lb/>malleos, aliaque in&longs;trumenta vitæ mi­<lb/>tioris, & pacificæ conuerti&longs;ti: iam arua <lb/>feracis Galliæ recoli cœpta, vbique re­<lb/>uire&longs;cunt: lætæ &longs;egetes, agri vberes cul­<lb/>mis ari&longs;ti&longs;que luxuriant: ex ædificijs &longs;e­<lb/>miruta re&longs;taurantur, dirutorum loco <lb/>noua &longs;tatuuntur: leges liberè pronun­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.014.jpg"/>ciant: iu&longs;ticia libritenens fide zygo&longs;tati­<lb/>ca omnia iudicat: linguarum & bona­<lb/>rum <expan abbr="artiũ">artium</expan>, te earum re&longs;tauratore, & vin­<lb/>dice & cu&longs;tode, eruditio in <expan abbr="Academiã">Academiam</expan> <lb/>reuer&longs;a frequentatur: ingenia, quæ in ea <lb/>&longs;unt præclara, in variarum artium iam <lb/>redundant elegantiam, fœtu&longs;que &longs;uos <lb/>producere ge&longs;tiunt: mercatura denique <lb/>tutò vagatur, peregrinatur, ru&longs;ticatur. <lb/></s> |
| | |
| <s id="id.000043">Harum duarum rerum belli, & pacis <lb/>magnitudinem, <expan abbr="difficultat&etilde;">difficultatem</expan>, <expan abbr="impedim&etilde;-ta">impedimen­<lb/>ta</expan> &longs;oli <expan abbr="cõplectentur">complectentur</expan>, quitam di&longs;&longs;ociatas <lb/>Gallorum & Hi&longs;panorum <expan abbr="volũtates">voluntates</expan>: <expan abbr="tã">tam</expan> <lb/>multa, & multiplici <expan abbr="&longs;imultatũ">&longs;imultatum</expan> <expan abbr="atq;">atque</expan> odio­<lb/>rum crudelitate &longs;auciatas: tot mordaci­<lb/>bus dictis, &longs;criptis, factis in &longs;e&longs;e mutuis <lb/>exulceratas: tam deiecta, <expan abbr="atq;">atque</expan> perturbata <lb/>omnia ip&longs;i &longs;uis oculis viderunt. </s> | <s id="id.000043">Harum duarum rerum belli, & pacis <lb/>magnitudinem, <expan abbr="difficultat&etilde;">difficultatem</expan>, <expan abbr="impedim&etilde;­ta">impedimen­<lb/>ta</expan> &longs;oli <expan abbr="cõplectentur">complectentur</expan>, quitam di&longs;&longs;ociatas <lb/>Gallorum & Hi&longs;panorum <expan abbr="volũtates">voluntates</expan>: <expan abbr="tã">tam</expan> <lb/>multa, & multiplici <expan abbr="&longs;imultatũ">&longs;imultatum</expan> <expan abbr="atq;">atque</expan> odio­<lb/>rum crudelitate &longs;auciatas: tot mordaci­<lb/>bus dictis, &longs;criptis, factis in &longs;e&longs;e mutuis <lb/>exulceratas: tam deiecta, <expan abbr="atq;">atque</expan> perturbata <lb/>omnia ip&longs;i &longs;uis oculis viderunt. </s> |
| | |
| <s id="id.000044"><expan abbr="Nã">Nam</expan> qui <lb/><expan abbr="nõ">non</expan> <expan abbr="viderũt">viderunt</expan>, licet ab alijs recitata <expan abbr="audiãt">audiant</expan>, <lb/>aut <expan abbr="monum&etilde;tis">monumentis</expan> <expan abbr="cõm&etilde;data">commendata</expan> <expan abbr="legãt">legant</expan>, non ar­<lb/>bitror <expan abbr="tam&etilde;">tamen</expan> vllius vlla <expan abbr="quantũuis">quantumuis</expan> elegan­<lb/>ti, & probabili narratione adduci po&longs;&longs;e, <lb/>vt <expan abbr="credãt">credant</expan>, quando <expan abbr="quid&etilde;">quidem</expan> nos, qui hæc vi­<lb/>dimus, &longs;i <expan abbr="quãdo">quando</expan> in <expan abbr="memoriãreducimus">memoriam reducimus</expan>, <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.015.jpg"/>mera &longs;omnia videre nobis videmur: <lb/>Quid igitur ab&longs;urdum? </s> | <s id="id.000044"><expan abbr="Nã">Nam</expan> qui <lb/><expan abbr="nõ">non</expan> <expan abbr="viderũt">viderunt</expan>, licet ab alijs recitata <expan abbr="audiãt">audiant</expan>, <lb/>aut <expan abbr="monum&etilde;tis">monumentis</expan> <expan abbr="cõm&etilde;data">commendata</expan> <expan abbr="legãt">legant</expan>, non ar­<lb/>bitror <expan abbr="tam&etilde;">tamen</expan> vllius vlla <expan abbr="quantũuis">quantumuis</expan> elegan­<lb/>ti, & probabili narratione adduci po&longs;&longs;e, <lb/>vt <expan abbr="credãt">credant</expan>, quando <expan abbr="quid&etilde;">quidem</expan> nos, qui hæc vi­<lb/>dimus, &longs;i <expan abbr="quãdo">quando</expan> in <expan abbr="memoriãreducimus">memoriam reducimus</expan>, <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.015.jpg"/>mera &longs;omnia videre nobis videmur: <lb/>Quid igitur ab&longs;urdum? </s> |
| | |
| |
| | |
| <s id="id.000093">Multò de his plura: quam de diuinis philo&longs;ophando <lb/>homines con&longs;ecuti &longs;unt, <expan abbr="neq;">neque</expan> &longs;ine incredibili animorum <lb/>&longs;uorum voluptate, & innumerabili ad v&longs;us humanos vti­<lb/>litate. </s> | <s id="id.000093">Multò de his plura: quam de diuinis philo&longs;ophando <lb/>homines con&longs;ecuti &longs;unt, <expan abbr="neq;">neque</expan> &longs;ine incredibili animorum <lb/>&longs;uorum voluptate, & innumerabili ad v&longs;us humanos vti­<lb/>litate. </s> |
| | |
| <s id="id.000094">Nam cum hæc ita e&longs;&longs;e homines <expan abbr="depreh&etilde;di&longs;&longs;ent">deprehendi&longs;&longs;ent</expan>, vt <lb/>ad multò plures v&longs;us, quam ad quos <expan abbr="&longs;põtè">&longs;pontè</expan> nata e&longs;&longs;e com­<lb/>perirentur, <expan abbr="trãsferri">transferri</expan> & aptati po&longs;&longs;ent, <expan abbr="perciperentq;">perciperentque</expan> non <lb/>fru&longs;trà &longs;uis animis in&longs;itas non <expan abbr="&longs;olũ">&longs;olum</expan> facultates i&longs;ta transfe­<lb/>rendi & aptandi: &longs;ed etiam congenita corporibus &longs;uis <expan abbr="in-&longs;trum&etilde;ta">in­<lb/>&longs;trumenta</expan>, quibus vel ex &longs;e, vel à &longs;e factis <expan abbr="in&longs;trum&etilde;tis">in&longs;trumentis</expan> tran&longs;­<lb/>ferrent & aptarent, non &longs;ola cognitione <expan abbr="cõtenti">contenti</expan> ad agen­<lb/>dum &longs;e <expan abbr="contulerũt">contulerunt</expan>. </s> | <s id="id.000094">Nam cum hæc ita e&longs;&longs;e homines <expan abbr="depreh&etilde;di&longs;&longs;ent">deprehendi&longs;&longs;ent</expan>, vt <lb/>ad multò plures v&longs;us, quam ad quos <expan abbr="&longs;põtè">&longs;pontè</expan> nata e&longs;&longs;e com­<lb/>perirentur, <expan abbr="trãsferri">transferri</expan> & aptati po&longs;&longs;ent, <expan abbr="perciperentq;">perciperentque</expan> non <lb/>fru&longs;trà &longs;uis animis in&longs;itas non <expan abbr="&longs;olũ">&longs;olum</expan> facultates i&longs;ta transfe­<lb/>rendi & aptandi: &longs;ed etiam congenita corporibus &longs;uis <expan abbr="in­&longs;trum&etilde;ta">in­<lb/>&longs;trumenta</expan>, quibus vel ex &longs;e, vel à &longs;e factis <expan abbr="in&longs;trum&etilde;tis">in&longs;trumentis</expan> tran&longs;­<lb/>ferrent & aptarent, non &longs;ola cognitione <expan abbr="cõtenti">contenti</expan> ad agen­<lb/>dum &longs;e <expan abbr="contulerũt">contulerunt</expan>. </s> |
| | |
| <s id="id.000095">Hinc quartum genus illud <expan abbr="rerũ">rerum</expan>, quas <lb/>diximus, artificialium emanauit, primùm vt credibile e&longs;t <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.021.jpg"/>nece&longs;&longs;ariarum, deinde <expan abbr="delectabiliũ">delectabilium</expan>, quod eò, imitatione <lb/>cœle&longs;tium & <expan abbr="elem&etilde;tariorũ">elementariorum</expan>, & in <expan abbr="horũ">horum</expan> nonnullis &longs;upera­<lb/>tione proce&longs;&longs;it, vt homo qui manu mentis con&longs;ilio dire­<lb/>cta tot & <expan abbr="tãta">tanta</expan>, quanta <expan abbr="nũc">nunc</expan> po&longs;&longs;idemus, peregerit, ab Ana­<lb/>xagora quia haberet <expan abbr="manũ">manum</expan>, &longs;apienti&longs;&longs;imus fuerit iudica­<lb/>tus. </s> | <s id="id.000095">Hinc quartum genus illud <expan abbr="rerũ">rerum</expan>, quas <lb/>diximus, artificialium emanauit, primùm vt credibile e&longs;t <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.021.jpg"/>nece&longs;&longs;ariarum, deinde <expan abbr="delectabiliũ">delectabilium</expan>, quod eò, imitatione <lb/>cœle&longs;tium & <expan abbr="elem&etilde;tariorũ">elementariorum</expan>, & in <expan abbr="horũ">horum</expan> nonnullis &longs;upera­<lb/>tione proce&longs;&longs;it, vt homo qui manu mentis con&longs;ilio dire­<lb/>cta tot & <expan abbr="tãta">tanta</expan>, quanta <expan abbr="nũc">nunc</expan> po&longs;&longs;idemus, peregerit, ab Ana­<lb/>xagora quia haberet <expan abbr="manũ">manum</expan>, &longs;apienti&longs;&longs;imus fuerit iudica­<lb/>tus. </s> |
| | |
| |
| <s id="id.000555">Ex quo fit vt libræ ma­<lb/>iores minoribus &longs;int <lb/>exactiores. </s></p><p type="main"> | <s id="id.000555">Ex quo fit vt libræ ma­<lb/>iores minoribus &longs;int <lb/>exactiores. </s></p><p type="main"> |
| | |
| <s><foreign lang="el">*prw=ton me\n ou)=n ta\ sumbai/nonta peri\ to\n zugo\n a)porei=tai, <lb/>dia\ ti/na ai)ti/an a)kribe/stera/ e)sti ta\ zuga\ ta\ mei/zw <lb/>tw=n e)latto/nwn.</foreign></s> | <s><foreign lang="el">*prw=ton me\n ou)=n ta\ sumbai/nonta peri\ to\n zugo\n a)porei=tai, <lb/>dia\ ti/na ai)ti/an a)kribe/stera/ e)sti ta\ zuga\ ta\ mei/zw <lb/>tw=n e)latto/nwn.</foreign></s> |
| <s id="g0120702"><foreign lang="el">tou/tou de\ a)rxh/, dia\ ti/ pote e)n tw=| ku/klw| <lb/>h( plei=on a)festhkui=a grammh\ tou= ke/ntrou th=s e)ggu\s th=| <lb/>au)th=| i)sxu/i kinoume/nhs qa=tton fe/retai th=s e)la/ttonos, to\ <lb/>ga\r qa=tton le/getai dixw=s.</foreign></s> | <s id="g0120702"><foreign lang="el">tou/tou de\ a)rxh/, dia\ ti/ pote e)n tw=| ku/klw| <lb/>h( plei=on a)festhkui=a grammh\ tou= ke/ntrou th=s e)ggu\s, th=| <lb/>au)th=| i)sxu/i kinoume/nh qa=tton fe/retai th=s e)la/ttonos, to\ <lb/>ga\r qa=tton le/getai dixw=s.</foreign></s> |
| <s id="g0120704"><foreign lang="el">a)/n te ga\r e)n e)la/ttoni xro/nw| <lb/>i)/son to/pon diece/lqh|, qa=tton ei)=nai le/gomen, kai\ e)a\n e)n i)/sw| <lb/>plei/w.</foreign></s> | <s id="g0120704"><foreign lang="el">a)/n te ga\r e)n e)la/ttoni xro/nw| <lb/>i)/son to/pon diece/lqh|, qa=tton ei)=nai le/gomen, kai\ e)a\n e)n i)/sw|, <lb/>plei/w.</foreign></s> |
| <s id="g0120705"><foreign lang="el">h( de\ mei/zwn e)n i)/sw| xro/nw| gra/fei mei/zona ku/klon: <lb/>o( ga\r e)kto\s mei/zwn tou= e)nto/s.</foreign></s></p><p type="main"> | <s id="g0120705"><foreign lang="el">h( de\ mei/zwn e)n i)/sw| xro/nw| gra/fei mei/zona ku/klon: <lb/>o( ga\r e)kto\s mei/zwn tou= e)nto/s.</foreign></s></p><p type="main"> |
| | |
| <s id="id.000557"><expan abbr="Primũ">Primum</expan> igitur qu&ecedil; circa <expan abbr="li-brã">li­<lb/>bram</expan> <expan abbr="cõtingunt">contingunt</expan>, <expan abbr="difficultat&etilde;">difficultatem</expan> <lb/><expan abbr="adferũt">adferunt</expan>. </s> | <s id="id.000557"><expan abbr="Primũ">Primum</expan> igitur qu&ecedil; circa <expan abbr="li-brã">li­<lb/>bram</expan> <expan abbr="cõtingunt">contingunt</expan>, <expan abbr="difficultat&etilde;">difficultatem</expan> <lb/><expan abbr="adferũt">adferunt</expan>. </s> |
| |
| | |
| <s id="id.000584">Ob hæc igitur, cum hic locus non tam debeat intelligi de circulis, <lb/>quam circulorum peripherijs, meritò ante, cum huius proprietatis <lb/>mentio fieret, capite præcedenti peripheriam maioris circuli periphe­<lb/>ria minoris maiorem e&longs;&longs;e demon&longs;trauimus, &longs;ed etiam huius magni­<lb/>tudinis maioris cau&longs;a, hic ab Ari&longs;totele &longs;ubiungitur. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> | <s id="id.000584">Ob hæc igitur, cum hic locus non tam debeat intelligi de circulis, <lb/>quam circulorum peripherijs, meritò ante, cum huius proprietatis <lb/>mentio fieret, capite præcedenti peripheriam maioris circuli periphe­<lb/>ria minoris maiorem e&longs;&longs;e demon&longs;trauimus, &longs;ed etiam huius magni­<lb/>tudinis maioris cau&longs;a, hic ab Ari&longs;totele &longs;ubiungitur. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
| | |
| <s id="id.000585"><foreign lang="el"> ai)/tion de\ tou/twn o(/ti fe/retai <lb/>du/o fora\s h( gra/fousa to\n ku/klon.</foreign></s> | <s id="id.000585"><foreign lang="el"> ai)/tion de\ tou/twn, o(/ti fe/retai <lb/>du/o fora\s h( gra/fousa to\n ku/klon.</foreign></s> |
| <s id="g0120707"><foreign lang="el">o(/tan me\n ou)=n e)n lo/gw| <lb/>tini\ fe/rhtai, e)p' eu)qei/as a)na/gkh fe/resqai to\ fero/menon, <lb/>kai\ gi/netai dia/metros au)th\ tou= sxh/matos o(\ poiou=sin ai( <lb/>e)n tou/tw| tw=| lo/gw| sunteqei=sai grammai/.</foreign></s> | <s id="g0120707"><foreign lang="el">o(/tan me\n ou)=n e)n lo/gw| <lb/>tini\ fe/rhtai, e)p' eu)qei/as a)na/gkh fe/resqai to\ fero/menon, <lb/>kai\ gi/netai dia/metros au)th\ tou= sxh/matos o(\ poiou=sin ai( <lb/>e)n tou/tw| tw=| lo/gw| sunteqei=sai grammai/.</foreign></s> |
| <s id="g0120708"><foreign lang="el">e)/stw ga\r o( lo/gos <lb/>o(\n fe/retai to\ fero/menon, o(\n e)/xei h( *a*b pro\s th\n *a*g: <lb/>kai\ to\ me\n *a*g fere/sqw pro\s to\ *b, h( de\ *a*b u(pofere/sqw <lb/>pro\s th\n *h*g: e)nhne/xqw de\ to\ me\n *a pro\s to\ *d, h( de\ e)f' <lb/>h(=| *a*b pro\s to\ *e. ei) ou)=n e)pi\ th=s fora=s o( lo/gos h)=n o(\n h( <lb/>*a*b e)/xei pro\s th\n *a*g, a)na/gkh kai\ th\n *a*d pro\s th\n <lb/>*a*e tou=ton e)/xein to\n lo/gon.</foreign></s> | <s id="g0120708"><foreign lang="el">e)/stw ga\r o( lo/gos <lb/>o(\n fe/retai to\ fero/menon, o(\n e)/xei h( *a*b, pro\s th\n *a*g, <lb/>kai\ to\ me\n *a*g fere/sqw pro\s to\ *b, h( de\ *a*b u(pofere/sqw <lb/>pro\s th\n *h*g: e)nhne/xqw de\ to\ me\n *a pro\s to\ *d, h( de\ e)f' <lb/>h(=| *a*b pro\s to\ *e. </foreign></s> |
| <s id="g0120709"><foreign lang="el">o(/moion a)/ra e)sti\ tw=| lo/gw| to\ <lb/>mikro\n tetra/pleuron tw=| mei/zoni, w(/ste kai\ h( au)th\ dia/metros <lb/>au)tw=n, kai\ to\ *a e)/stai pro\s *z.</foreign></s> | |
| | <s id="g0120708a"><foreign lang="el">ou)kou=n e)pi\ th=s fora=s o( lo/gos h)=n, o(\n h( <lb/>*a*b e)/xei pro\s th\n *a*g, a)na/gkh kai\ th\n *a*d, pro\s th\n <lb/>*a*e, tou=ton e)/xein to\n lo/gon, o(/moion a)/ra e)sti\ tw=| lo/gw| to\ <lb/>mikro\n tetra/pleuron tw=| mei/zoni, w(/ste kai\ h( au)th\ dia/metros <lb/>au)tw=n, kai\ to\ *a e)/stai pro\s to\ *z.</foreign></s> |
| <s id="g0120801"><foreign lang="el">to\n au)to\n dh\ tro/pon <lb/>deixqh/setai ka)\n o(pouou=n dialhfqh=| h( fora/: ai)ei\ ga\r <lb/>e)/stai e)pi\ th=s diame/trou.</foreign></s> | <s id="g0120801"><foreign lang="el">to\n au)to\n dh\ tro/pon <lb/>deixqh/setai ka)\n o(pouou=n dialhfqh=| h( fora/: ai)ei\ ga\r <lb/>e)/stai e)pi\ th=s diame/trou.</foreign></s> |
| <s id="g0120802"><foreign lang="el">fanero\n ou)=n o(/ti to\ kata\ th\n dia/metron <lb/>fero/menon e)n du/o forai=s a)na/gkh to\n tw=n pleurw=n <lb/>fe/resqai lo/gon.</foreign></s></p><p type="main"> | <s id="g0120802"><foreign lang="el">fanero\n ou)=n o(/ti to\ kata\ th\n dia/metron <lb/>fero/menon e)n du/o forai=s, a)na/gkh to\n tw=n pleurw=n <lb/>fe/resqai lo/gon.</foreign></s></p><p type="main"> |
| | |
| <s id="id.000586">Horum vero cau&longs;a e&longs;t, <lb/>quod recta de&longs;cribens <expan abbr="cir­culũ">cir­<lb/>culum</expan> <expan abbr="&longs;ecundũ">&longs;ecundum</expan> duas latio­<lb/>nes fertur. </s> | <s id="id.000586">Horum vero cau&longs;a e&longs;t, <lb/>quod recta de&longs;cribens <expan abbr="cir­culũ">cir­<lb/>culum</expan> <expan abbr="&longs;ecundũ">&longs;ecundum</expan> duas latio­<lb/>nes fertur. </s> |
| | |
| |
| <s id="id.000656">Agitur hîc autem de &longs;implicibus tantum, <lb/>quæ vno &longs;implici motu, vel &longs;i duobus, ijs &longs;imilibus creantur, & &longs;i­<lb/>milares &longs;unt: quales cum duæ tantum &longs;int recta &longs;cilicet & circula­<lb/>ris, inde bene inferetur è po&longs;ita &longs;implicè &longs;i recta non e&longs;t, e&longs;&longs;e cir­<lb/>cularis. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> | <s id="id.000656">Agitur hîc autem de &longs;implicibus tantum, <lb/>quæ vno &longs;implici motu, vel &longs;i duobus, ijs &longs;imilibus creantur, & &longs;i­<lb/>milares &longs;unt: quales cum duæ tantum &longs;int recta &longs;cilicet & circula­<lb/>ris, inde bene inferetur è po&longs;ita &longs;implicè &longs;i recta non e&longs;t, e&longs;&longs;e cir­<lb/>cularis. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
| | |
| <s id="id.000657"><foreign lang="el">o(/ti me\n toi/nun h( to\n ku/klon gra/fousa <lb/>fe/retai du/o fora\s a(/ma, fanero\n e)/k te tou/twn, <lb/>kai\ o(/ti to\ fero/menon kat' eu)qei=an e)pi\ th\n ka/qeton a)fi­<lb/>knei=tai, w(/ste ei)=nai pa/lin au)th\n a)po\ tou= ke/ntrou ka/qeton.</foreign></s> | <s id="id.000657"><foreign lang="el">o(/ti me\n toi/nun h( to\n ku/klon gra/fousa <lb/>fe/retai du/o fora\s a(/ma, fanero\n e)/k te tou/twn, <lb/>kai\ o(/ti to\ fero/menon kat' eu)qei=an e)pi\ th\n ka/qeton a)fi­<lb/>knei=tai, w(/ste ei)=nai pa/lin au)th\n a)po\ tou= ke/ntrou ka/qeton.</foreign></s> |
| <s id="g0121001"><foreign lang="el"><lb/>e)/stw ku/klos o( *a*b*g, to\ d' a)/kron to\ e)f' ou(= *b fere/sqw <lb/>e)pi\ to\ *d. a)fiknei=tai de/ pote e)pi\ to\ *g.</foreign></s> | <s id="g0121001"><foreign lang="el"><lb/>e)/stw ku/klos o( *a*b*g, to\ d' a)/kron to\ e)f' ou(= *b, fere/sqw <lb/>e)pi\ to\ *d: a)fiknei=tai de/ pote e)pi\ to\ *g.</foreign></s> |
| <s id="g0121002"><foreign lang="el">ei) me\n ou)=n e)n tw=| <lb/>lo/gw| e)fe/reto o(\n e)/xei h( *b*d pro\s th\n *d*g, e)fe/reto a)\n <lb/>th\n dia/metron th\n e)f' h(=| *b*g.</foreign></s> | <s id="g0121002"><foreign lang="el">ei) me\n ou)=n e)n tw=| <lb/>lo/gw| e)fe/reto o(\n e)/xei h( *b*d, pro\s th\n *d*g, e)fe/reto a)\n <lb/>th\n dia/metron th\n e)f' h(=| *b*g.</foreign></s> |
| <s id="g0121003"><foreign lang="el">nu=n de/, e)pei/per e)n ou)deni\ <lb/>lo/gw|, e)pi\ th\n perife/reian fe/retai th\n e)f' h(=| *b e *g.</foreign></s></p><p type="main"> | <s id="g0121003"><foreign lang="el">nu=n de/, e)pei/per e)n ou)deni\ <lb/>lo/gw|, e)pi\ th\n perife/reian fe/retai th\n e)f' h(=| *b e *g.</foreign></s></p><p type="main"> |
| | |
| <s id="id.000658">Quod vero recta <expan abbr="de&longs;cri-b&etilde;s">de&longs;cri­<lb/>bens</expan> circulum duabus &longs;imul <lb/>lationibus feratur, <expan abbr="cũ">cum</expan> ex his <lb/>e&longs;t <expan abbr="manife&longs;tũ">manife&longs;tum</expan>, <expan abbr="tũ">tum</expan> quod lata <lb/><expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan> fieret num­<lb/>quam perpendicularis. </s> | <s id="id.000658">Quod vero recta <expan abbr="de&longs;cri-b&etilde;s">de&longs;cri­<lb/>bens</expan> circulum duabus &longs;imul <lb/>lationibus feratur, <expan abbr="cũ">cum</expan> ex his <lb/>e&longs;t <expan abbr="manife&longs;tũ">manife&longs;tum</expan>, <expan abbr="tũ">tum</expan> quod lata <lb/><expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan> fieret num­<lb/>quam perpendicularis. </s> |
| |
| | |
| <s id="id.000671">hoc enim e&longs;t quod an­<lb/>tea e&longs;t demon&longs;tratum. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> | <s id="id.000671">hoc enim e&longs;t quod an­<lb/>tea e&longs;t demon&longs;tratum. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
| | |
| <s id="id.000672"><foreign lang="el">e)a\n <lb/>de\ duoi=n ferome/noin a)po\ th=s au)th=s i)sxu/os to\ me\n e)kkrou/oito <lb/>plei=on to\ de\ e)/latton, eu)/logon bradu/teron kinhqh=nai <lb/>to\ plei=on e)kkrouo/menon tou= e)/latton e)kkrouome/nou: o(\ dokei= <lb/>sumbai/nein e)pi\ th=s mei/zonos kai\ e)la/ttonos tw=n e)k tou= <lb/>ke/ntrou grafousw=n tou\s ku/klous.</foreign></s> | <s id="id.000672"><foreign lang="el">e)a\n <lb/>de\ duoi=n ferome/noin a)po\ th=s au)th=s i)sxu/os, to\ me\n e)kkrou/oito <lb/>plei=on, to\ de\ e)/latton, eu)/logon bradu/teron kinhqh=nai <lb/>to\ plei=on e)kkrouo/menon tou= e)/latton e)kkrouome/nou, o(\ dokei= <lb/>sumbai/nein e)pi\ th=s mei/zonos kai\ e)la/ttonos, tw=n e)k tou= <lb/>ke/ntrou grafousw=n tou\s ku/klous.</foreign></s> |
| <s id="g0121102"><foreign lang="el">dia\ ga\r to\ e)ggu/teron <lb/>ei)=nai tou= me/nontos th=s e)la/ttonos to\ a)/kron h)\ to\ th=s mei/zonos, <lb/>w(/sper a)ntispw/menon ei)s tou)nanti/on, e)pi\ to\ me/son bradu/teron <lb/>fe/retai to\ th=s e)la/ttonos a)/kron.</foreign></s> | <s id="g0121102"><foreign lang="el">dia\ ga\r to\ e)ggu/teron <lb/>ei)=nai tou= me/nontos th=s e)la/ttonos to\ a)/kron, h)\ to\ th=s mei/zonos, <lb/>w(/sper a)ntispw/menon ei)s tou)nanti/on, e)pi\ to\ me/son bradu/teron <lb/>fe/retai to\ th=s e)la/ttonos a)/kron.</foreign></s> |
| <s id="g0121201"><foreign lang="el">pa/sh| me\n ou)=n <lb/>ku/klon grafou/sh| tou=to sumbai/nei.</foreign></s></p><p type="main"> | <s id="g0121201"><foreign lang="el">pa/sh| me\n ou)=n <lb/>ku/klon grafou/sh| tou=to sumbai/nei.</foreign></s></p><p type="main"> |
| | |
| <s id="id.000673">Si vero duorum eadem <lb/>vi latorum vnum plus re­<lb/>pellitur, alterum minus: <lb/>æquum e&longs;t, plus repul&longs;um, <lb/>altero minus repul&longs;o tar­<lb/>dius ferri. </s> | <s id="id.000673">Si vero duorum eadem <lb/>vi latorum vnum plus re­<lb/>pellitur, alterum minus: <lb/>æquum e&longs;t, plus repul&longs;um, <lb/>altero minus repul&longs;o tar­<lb/>dius ferri. </s> |
| |
| | |
| <s id="id.000688"><emph type="italics"/>Illu&longs;trari hæc <expan abbr="cõclu&longs;io">conclu&longs;io</expan> po&longs;&longs;et &longs;imilitudine ampli & latè patentis re­<lb/>gni, in cuius medio tanquam centro, cum rex præ&longs;ideat, partes me­<lb/>dio vicinæ regis legibus magis coarctantur & continentur: quam <lb/>remotæ. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> | <s id="id.000688"><emph type="italics"/>Illu&longs;trari hæc <expan abbr="cõclu&longs;io">conclu&longs;io</expan> po&longs;&longs;et &longs;imilitudine ampli & latè patentis re­<lb/>gni, in cuius medio tanquam centro, cum rex præ&longs;ideat, partes me­<lb/>dio vicinæ regis legibus magis coarctantur & continentur: quam <lb/>remotæ. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
| | |
| <s id="id.000689"><foreign lang="el">kai\ fe/retai th\n me\n <lb/>kata\ fu/sin kata\ th\n perife/reian, th\n de\ para\ fu/sin <lb/>ei)s to\ pla/gion kai\ to\ ke/ntron. mei/zw d' a)ei\ th\n para\ <lb/>fu/sin h( e)la/ttwn fe/retai: dia\ ga\r to\ e)ggu/teron ei)=nai tou= <lb/>ke/ntrou tou= a)ntispw=ntos kratei=tai ma=llon.</foreign></s></p><p type="main"> | <s id="id.000689"><foreign lang="el">kai\ fe/retai th\n me\n <lb/>kata\ fu/sin, th\n de\ para\ fu/sin kata\ th\n perife/reian <lb/>ei)s to\ pla/gion kai\ to\ ke/ntron. mei/zw d' a)ei\ th\n para\ <lb/>fu/sin h( e)la/ttwn fe/retai: dia\ ga\r to\ e)ggu/teron ei)=nai tou= <lb/>ke/ntrou tou= a)ntispw=ntos, kratei=tai ma=llon.</foreign></s></p><p type="main"> |
| | |
| <s id="id.000690">Et fertur motu <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <lb/>naturam per peripheriam: <lb/>præter <expan abbr="naturã">naturam</expan> vero in <expan abbr="trã&longs;-uer&longs;um">tran&longs;­<lb/>uer&longs;um</expan>, & centrum ver&longs;us. <lb/></s> | <s id="id.000690">Et fertur motu <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <lb/>naturam per peripheriam: <lb/>præter <expan abbr="naturã">naturam</expan> vero in <expan abbr="trã&longs;-uer&longs;um">tran&longs;­<lb/>uer&longs;um</expan>, & centrum ver&longs;us. <lb/></s> |
| | |
| |
| | |
| <s id="id.000702">Relinquitur ergo vt ea <lb/>&longs;it contra <expan abbr="naturã">naturam</expan> & per accidens, qua ad ip&longs;um centrum reuellitur. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> | <s id="id.000702">Relinquitur ergo vt ea <lb/>&longs;it contra <expan abbr="naturã">naturam</expan> & per accidens, qua ad ip&longs;um centrum reuellitur. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
| | |
| <s id="id.000703"><foreign lang="el">o(/ti de\ mei=zon <lb/>to\ para\ fu/sin kinei=tai h( e)la/ttwn th=s mei/zonos tw=n e)k tou= <lb/>ke/ntrou grafousw=n tou\s ku/klous, e)k tw=nde dh=lon.</foreign></s> | <s id="id.000703"><foreign lang="el">o(/ti de\ mei=zon <lb/>to\ para\ fu/sin kinei=tai h( e)la/ttwn th=s mei/zonos, tw=n e)k tou= <lb/>ke/ntrou grafousw=n tou\s ku/klous, e)k tw=nde dh=lon.</foreign></s> |
| <s id="g0121302"><foreign lang="el">e)/stw <lb/>ku/klos e)f' ou(= *b*g*d*e, kai\ a)/llos e)n tou/tw| e)la/ttwn, <lb/>e)f' ou(= *x*n*m*c, peri\ to\ au)to\ ke/ntron to\ *a: kai\ e)kbeblh/sqwsan <lb/>ai( dia/metroi, e)n me\n tw=| mega/lw|, e)f' w(=n *g*d <lb/>kai\ *b*e, e)n de\ tw=| e)la/ttoni ai( *m*x *n*c: kai\ to\ e(tero/mhkes <lb/>parapeplhrw/sqw, to\ *d*y*r*g. ei) dh\ h( *a*b gra/fousa <lb/>ku/klon h(/cei e)pi\ to\ au)to\ o(/qen w(rmh/qh e)pi\ th\n *a*e, dh=lon <lb/>o(/ti fe/retai pro\s au(th/n.</foreign></s> | <s id="g0121302"><foreign lang="el">e)/stw <lb/>ku/klos e)f' *b*g*d*e, kai\ a)/llos e)n tou/tw| e)la/ttwn, <lb/>e)f' ou(= *x*n*m*c, peri\ to\ au)to\ ke/ntron to\ *a, kai\ e)kbeblh/sqwsan <lb/>ai( dia/metroi, e)n me\n tw=| mega/lw|, e)f' w(=n *g*d <lb/>kai\ *b*e, e)n de\ tw=| e)la/ttoni ai( *m*x *n*c: kai\ to\ e(tero/mhkes <lb/>parapeplhrw/sqw, to\ *d*y*r*g. </foreign></s> |
| <s id="g0121303"><foreign lang="el">o(moi/ws de\ kai\ h( *a*x pro\s th\n <lb/>*a*x h(/cei.</foreign></s> | |
| <s id="g0121304"><foreign lang="el">bradu/teron de\ fe/retai h( *a*x th=s *a*b, w(/sper <lb/>ei)/rhtai, dia\ to\ gi/nesqai mei/zona th\n e)/kkrousin kai\ a)ntispa=sqai <lb/>ma=llon th\n *a*x.</foreign></s> | <s id="g0121302a"><foreign lang="el">ei) dh\ h( *a*b gra/fousa <lb/>ku/klon h(/cei e)pi\ to\ au)to\ o(/qen w(rmh/qh e)pi\ th\n *a*e, dh­<lb/>lono/ti fe/retai pro\s au(th/n.</foreign></s> |
| <s id="g0121401"><foreign lang="el">h)/xqw de\ h( *a*q*h, kai\ a)po\ <lb/>tou= *q ka/qetos e)pi\ th\n *a*b h( *q*z e)n tw=| ku/klw|, kai\ pa/lin <lb/>a)po\ tou= *q h)/xqw para\ th\n *a*b h( *q*w, kai\ h( *w*u <lb/>e)pi\ th\n *a*b ka/qeton, kai\ h( *h*k.</foreign></s> | <s id="g0121303"><foreign lang="el">o(moi/ws de\ kai\ h( *a*x, pro\s th\n <lb/>*a*x h(/cei.</foreign></s> |
| <s id="g0121402"><foreign lang="el">ai( dh\ e)f' w(=n *w*u kai\ <lb/>*q*z i)/sai. h( a)/ra *b*u e)la/ttwn th=s *x*z:</foreign></s> | <s id="g0121304"><foreign lang="el">bradu/teron de\ fe/retai h( *a*x th=s *a*b, w(/sper <lb/>ei)/rhtai, dia\ to\ gi/nesqai mei/zona th\n e)/kkrousin, kai\ a)ntispa=sqai <lb/>ma=llon th\n *a*x.</foreign></s> |
| <s id="g0121403"><foreign lang="el">ai( ga\r i)/sai <lb/>eu)qei=ai e)p' a)ni/sous ku/klous e)mblhqei=sai pro\s o)rqa\s th=| <lb/>diame/trw| e)/latton tmh=ma a)pote/mnousi th=s diame/trou e)n <lb/>toi=s mei/zosi ku/klois, e)/sti de\ h( *w*u i)/sh th=| *q*z.</foreign></s> | <s id="g0121401"><foreign lang="el">h)/xqw de\ h( *a*q*h, kai\ a)po\ <lb/>tou= *q ka/qetos e)pi\ th\n *a*b h( *q*z e)n tw=| ku/klw|, kai\ pa/lin <lb/>a)po\ tou= *q h)/xqw para\ th\n *a*b h( *q*w, kai\ h( *w*u, <lb/>e)pi\ th\n *a*b ka/qeton, kai\ h( *h*k.</foreign></s> |
| <s id="g0121404"><foreign lang="el">e)n o(/sw|<lb/> dh\ xro/nw| h( *a*q th\n *x*q e)nhne/xqh, e)n tosou/tw| xro/nw| e)n <lb/>tw=| ku/klw| tw=| mei/zoni mei/zona th=s *b*w e)nh/nektai to\ a)/kron <lb/>th=s *b*a.</foreign></s> | <s id="g0121402"><foreign lang="el">ai( dh\ e)f' w(=n *w*u kai\ <lb/>*q*z i)/sai. </foreign></s> |
| <s id="g0121501"><foreign lang="el">h( me\n ga\r kata\ fu/sin fora\ i)/sh, h( de\ para\ <lb/>fu/sin e)la/ttwn: h( de\ *b*u th=s *z*x.</foreign></s></p><p type="main"> | <s id="g0121402a"><foreign lang="el">h( a)/ra *b*u e)la/ttwn th=s *x*z: ai( ga\r i)/sai <lb/>eu)qei=ai e)p' a)ni/sous ku/klous e)mblhqei=sai pro\s o)rqh=| th=| <lb/>diame/trw|, e)/latton tmh=ma a)pote/mnousi th=s diame/trou e)n <lb/>toi=s mei/zosi ku/klois.</foreign></s> |
| | <s id="g0121402b"><foreign lang="el">e)/sti de\ h( *w*u i)/sh th=| *q*z.</foreign></s> |
| | <s id="g0121404"><foreign lang="el">e)n o(/sw|<lb/> dh\ xro/nw| h( *a*q th\n *x*q e)nhne/xqh, e)n tosou/tw| xro/nw| e)n <lb/>tw=| ku/klw| tw=| mei/zoni, mh\ mei/zona th=s *b*w e)nh/nektai to\ a)/kron <lb/>th=s *b*a.</foreign></s> |
| | <s id="g0121501"><foreign lang="el">h( me\n ga\r kata\ fu/sin fora\, i)/sh: h( de\ para\ <lb/>fu/sin e)la/ttwn, h( *b*u, th=s *z*x.</foreign></s></p><p type="main"> |
| | |
| <s id="id.000704">Quod vero minor plus <lb/>præter naturam moueatur: <lb/>quam maior earum, qu&ecedil; ex <lb/>centro <expan abbr="de&longs;cribũt">de&longs;cribunt</expan> circulos, <lb/>ex his erit manife&longs;tum. </s> | <s id="id.000704">Quod vero minor plus <lb/>præter naturam moueatur: <lb/>quam maior earum, qu&ecedil; ex <lb/>centro <expan abbr="de&longs;cribũt">de&longs;cribunt</expan> circulos, <lb/>ex his erit manife&longs;tum. </s> |
| | |
| |
| | |
| <s id="id.000775"><foreign lang="el">dei= de\ a)na/logon ei)=nai, <lb/>w(s to\ kata\ fu/sin pro\s to\ kata\ fu/sin, to\ para\ fu/sin <lb/>pro\s to\ para\ fu/sin.</foreign></s> | <s id="id.000775"><foreign lang="el">dei= de\ a)na/logon ei)=nai, <lb/>w(s to\ kata\ fu/sin pro\s to\ kata\ fu/sin, to\ para\ fu/sin <lb/>pro\s to\ para\ fu/sin.</foreign></s> |
| <s id="g0121503"><foreign lang="el">mei/zona a)/ra perife/reian dielh/luqe <lb/>th\n *h*b th=s *w*b.</foreign></s> | <s id="g0121503"><foreign lang="el">mei/zona a)/ra perife/reian dielh/luqe <lb/>th\n *h*b th=s *w*b.</foreign></s> |
| <s id="g0121504"><foreign lang="el">a)na/gkh de\ th\n *h*b e)n tou/tw| tw=| xro/nw| <lb/>dielhluqe/nai: </foreign></s> | <s id="g0121504"><foreign lang="el">a)na/gkh de\ th\n *h*b e)n tou/tw| tw=| xro/nw| <lb/>dielhluqe/nai: e)ntau=qa ga\r e)/stai, o(/tan a)na/logon a)mfote/rws <lb/>sumbai/nh| to\ para\ fu/sin, pro\s to\ kata\ fu/sin.</foreign></s> |
| <s id="g0121505"><foreign lang="el">e)ntau=qa ga\r e)/stai, o(/tan a)na/logon a)mfote/rws <lb/>sumbai/nh| to\ para\ fu/sin pro\s to\ kata\ fu/sin.</foreign></s> | <s id="g0121506"><foreign lang="el">ei) dh\ <lb/>mei=zo/n e)sti to\ kata\ fu/sin e)n th=| mei/zoni ku/klw|, kai\ to\ para\ fu/sin <lb/>mei=zon, a)\n e)ntau=qa sumpi/ptoi monaxw=s, w(/ste to\ *b, e)nhne/xqai <lb/>a)\n th\n *b*h e)n tw=| e)f' ou(= *x shmei=on. </foreign></s> |
| <s id="g0121506"><foreign lang="el">ei) dh\ <lb/>mei=zo/n e)sti to\ kata\ fu/sin e)n th=| mei/zoni, kai\ to\ para\ fu/sin <lb/>ma=llon a)\n e)ntau=qa sumpi/ptoi monaxw=s, </foreign></s> | <s id="g0121506a"><foreign lang="el">e)ntau=qa ga\r <lb/>kata\ fu/sin me\n gi/netai tw=| *b shmei/w| h( *k *b. </foreign></s> |
| <s id="g0121507"><foreign lang="el">w(/ste to\ *b e)nhne/xqai <lb/>a)\n th\n *b*h e)n tw=| e)f' ou(= *x shmei=on. e)ntau=qa ga\r <lb/>kata\ fu/sin me\n gi/netai tw=| *b shmei/w| to\ ke/ntron [1e)/sti ga\r <lb/>au)th\ a)po\ tou= *h ka/qetos]1, para\ fu/sin de\ e)s to\ *k*b.</foreign></s> | <s id="g0121506b"><foreign lang="el">e)/sti ga\r <lb/>au)th\ a)po\ tou= *h ka/qetos, para\ fu/sin de\ e)s th\n *k*b.</foreign></s> |
| <s id="g0121508"><foreign lang="el">e)/sti <lb/>de\ w(s to\ *h*k pro\s to\ *k*b, to\ *q*z pro\s to\ *z*x. fanero\n <lb/>de\ e)a\n e)pizeuxqw=sin a)po\ tw=n *b*x e)pi\ ta\ *h*q.</foreign></s> | <s id="g0121508"><foreign lang="el">e)/sti <lb/>de\ w(s th\n *h*k pro\s th\n *k*b, h( *q*z pro\s th\n *z*x. </foreign></s> |
| <s id="g0121509"><foreign lang="el">ei) de\ <lb/>e)la/ttwn h)\ mei/zwn th=s *h*b e)/stai, h(\n h)ne/xqh to\ *b, ou)x o(moi/ws <lb/>e)/stai ou)de\ a)na/logon e)n a)mfoi=n to\ kata\ fu/sin pro\s to\ <lb/>para\ fu/sin.</foreign></s> | <s id="g0121508a"><foreign lang="el">fanero\n <lb/>de\ e)a\n e)pizeuxqw=sin, a)po\ tw=n *b, *x e)pi\ ta\ *h, *q.</foreign></s> |
| <s id="g0121510"><foreign lang="el">di' h(\n me\n toi/nun ai)ti/an a)po\ th=s au)th=s <lb/>i)sxu/os fe/retai qa=tton to\ ple/on a)pe/xon tou= ke/ntrou shmei=on, <lb/>dh=lon dia\ tw=n ei)rhme/nwn.</foreign></s></p><p type="main"> | <s id="g0121509"><foreign lang="el">ei) de\ <lb/>e)la/ttwn h)\ mei/zwn th=s *h*b e)/stai, h)ne/xqh to\ *b, ou)x o(moi/ws <lb/>e)/stai ou)de\ a)na/logon e)n a)mfoi=n to\ kata\ fu/sin pro\s to\ <lb/>para\ fu/sin.</foreign></s> |
| | <s id="g0121510"><foreign lang="el">di' h(\n me\n toi/nun ai)ti/an a)po\ th=s au)th=s <lb/>i)sxu/os fe/retai qa=tton to\ ple/on a)pe/xon tou= ke/ntrou shmei=on [1kai\ m gra/fei h( mei/zwn]1 <lb/>dh=lon dia\ tw=n ei)rhme/nwn.</foreign></s></p><p type="main"> |
| | |
| <s id="id.000776">At oportet analoga e&longs;&longs;e, <lb/>vt id quod <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="naturã">naturam</expan>, <lb/>ad id quod <expan abbr="&longs;ecũdum">&longs;ecundum</expan> natu­<lb/>ram: &longs;ic quod præter natu­<lb/>ram, ad id quod præter <expan abbr="na-turã">na­<lb/>turam</expan>. </s> | <s id="id.000776">At oportet analoga e&longs;&longs;e, <lb/>vt id quod <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="naturã">naturam</expan>, <lb/>ad id quod <expan abbr="&longs;ecũdum">&longs;ecundum</expan> natu­<lb/>ram: &longs;ic quod præter natu­<lb/>ram, ad id quod præter <expan abbr="na-turã">na­<lb/>turam</expan>. </s> |
| | |
| |
| <s id="id.000795">Ob hanc igitur cau&longs;am.] <emph type="italics"/>Conclu&longs;io qua tandem concludi­<lb/>tur punctum à centro di&longs;tantius, vt eadem vi &longs;it motum, celerius <lb/>ferri, id e&longs;t eodem tempore maius loci &longs;patium conficere. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> | <s id="id.000795">Ob hanc igitur cau&longs;am.] <emph type="italics"/>Conclu&longs;io qua tandem concludi­<lb/>tur punctum à centro di&longs;tantius, vt eadem vi &longs;it motum, celerius <lb/>ferri, id e&longs;t eodem tempore maius loci &longs;patium conficere. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
| | |
| <s id="id.000796"><foreign lang="el">dio/ti de\ ta\ me\n mei/zw zuga\ <lb/>a)kribe/stera/ e)sti tw=n e)latto/nwn, fanero\n e)k tou/twn.</foreign></s> | <s id="id.000796"><foreign lang="el">dio/ti de\ ta\ me\n mei/zw zuga\ <lb/>a)kribe/stera/ e)sti tw=n e)latto/nwn, fanero\n e)k tou/twn.</foreign></s> |
| <s id="g0130102"><foreign lang="el">gi/netai <lb/>ga\r to\ me\n spa/rton ke/ntron [1me/nei ga\r tou=to]1, to\ de\ e)pi\ <lb/>e(ka/teron me/ros th=s pla/stiggos ai( e)k tou= ke/ntrou.</foreign></s> | <s id="g0130102"><foreign lang="el">gi/netai <lb/>ga\r to\ me\n spa/rton ke/ntron.</foreign></s> |
| <s id="g0130103"><foreign lang="el">a)po\ ou)=n <lb/>tou= au)tou= ba/rous a)na/gkh qa=tton kinei=sqai to\ a)/kron th=s <lb/>pla/stiggos, o(/sw| a)\n plei=on a)pe/xh| tou= spa/rtou, </foreign></s> | <s id="g0130102a"><foreign lang="el">me/nei ga\r tou=to. </foreign></s> |
| <s id="g0130104"><foreign lang="el">kai\ e)/nia <lb/>me\n mh\ dh=la ei)=nai e)n toi=s mikroi=s zugoi=s pro\s th\n ai)/sqhsin <lb/>e)pitiqe/mena ba/rh, e)n de\ toi=s mega/lois dh=la </foreign></s> | <s id="g0130102b"><foreign lang="el">to\ de\ e)pi\ <lb/>e(ka/teron me/ros th=s pla/stiggos, ai( e)k tou= ke/ntrou.</foreign></s> |
| <s id="g0130105"><foreign lang="el">ou)qe\n ga\r <lb/>kwlu/ei e)/latton kinhqh=nai me/geqos h)\ w(/ste ei)=nai th=| o)/yei <lb/>fanero/n.</foreign></s></p><p type="main"> | <s id="g0130103"><foreign lang="el">a)po\ ou)=n <lb/>tou= au)tou= ba/rous a)na/gkh qa=tton kinei=sqai to\ a)/kron th=s <lb/>pla/stiggos, o(/sw| a)\n plei=on a)pe/xh| tou= spa/rtou, kai\ e)/nia <lb/>me\n mh\ dh=la ei)=nai e)n toi=s mikroi=s zugoi=s pro\s th\n ai)/sqhsin <lb/>e)pitiqe/mena ba/rh: e)n de\ toi=s mega/lois, dh=la. </foreign></s> |
| | <s id="g0130105"><foreign lang="el">ou)qe\n ga\r <lb/>kwlu/ei e)/latton kinhqh=nai me/geqos, h)\ w(/ste ei)=nai th=| o)/yei <lb/>fanero/n.</foreign></s></p><p type="main"> |
| | |
| <s id="id.000797">Quod vero propterea li­<lb/>br&ecedil; maiores minoribus &longs;int <lb/>exactiores, <expan abbr="manife&longs;tũ">manife&longs;tum</expan> ex his <lb/>erit. </s> | <s id="id.000797">Quod vero propterea li­<lb/>br&ecedil; maiores minoribus &longs;int <lb/>exactiores, <expan abbr="manife&longs;tũ">manife&longs;tum</expan> ex his <lb/>erit. </s> |
| | |
| |
| <s id="id.000812">id e&longs;t minores <lb/>ponderum differentias patefaciet. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> | <s id="id.000812">id e&longs;t minores <lb/>ponderum differentias patefaciet. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
| | |
| <s id="id.000813"><foreign lang="el">e)pi\ de\ th=s mega/lhs pla/stiggos poiei= o(rato\n to\ <lb/>au)to\ ba/ros me/geqos.</foreign></s> | <s id="id.000813"><foreign lang="el">e)pi\ de\ th=s mega/lhs pla/stiggos poiei= o(rato\n to\ <lb/>au)to\ ba/ros me/geqos.</foreign></s> |
| <s id="g0130107"><foreign lang="el">e)/nia de\ dh=la me\n e)p' a)mfoi=n e)sti/n, <lb/>a)lla\ pollw=| ma=llon e)pi\ tw=n meizo/nwn dia\ to\ pollw=| <lb/>mei=zon gi/nesqai to\ me/geqos th=s r(oph=s u(po\ tou= au)tou= ba/rous <lb/>e)n toi=s mei/zosi.</foreign></s> | <s id="g0130107"><foreign lang="el">e)/nia de\ dh=la me\n e)p' a)mfoi=n e)sti/n, <lb/>a)lla\ pollw=| ma=llon e)pi\ tw=n meizo/nwn, dia\ to\ pollw=| <lb/>mei=zon gi/nesqai to\ me/geqos th=s r(oph=s u(po\ tou= au)tou= ba/rous <lb/>e)n toi=s mei/zosi.</foreign></s> |
| <s id="g0130108"><foreign lang="el">kai\ dia\ tou=to texna/zousin oi( a(lourgopw=lai <lb/>pro\s to\ parakrou/esqai i(sta/ntes, to/ te spa/rton <lb/>ou)k e)n me/sw| tiqe/ntes, kai\ mo/lubdon th=s fa/laggos ei)s <lb/>qa/teron me/ros e)gxe/ontes, h)\ tou= cu/lou to\ pro\s th\n r(i/zan <lb/>pro\s o(\ bou/lontai r(e/pein poiou=ntes, h)\ e)a\n e)/xh| o)/zon: baru/­<lb/>teron ga\r e)n w(=| me/ros h( r(i/za tou= cu/lou e)sti/n, o( de\ o)/zos r(i/za <lb/>ti/s e)stin.</foreign></s></p><p type="main"> | <s id="g0130108"><foreign lang="el">kai\ dia\ tou=to texna/zousin oi( a(lourgopw=lai <lb/>pro\s to\ parakrou/esqai i(sta/ntes, to/, te spa/rton <lb/>ou)k e)n me/sw| tiqe/ntes, kai\ mo/lubdon th=s fa/laggos ei)s <lb/>qa/teron me/ros e)gxe/ontes, h)\ tou= cu/lou to\ pro\s th\n r(i/zan <lb/>pro\s o(\ bou/lontai r(e/pein poiou=ntes, h)\ e)a\n e)/xh| o)/zon. </foreign></s> |
| | <s id="g0130108a"><foreign lang="el">baru/­<lb/>teron ga\r e)n w(=| me/ros h( r(i/za tou= cu/lou e)sti/n. </foreign></s> |
| | <s id="g0130108b"><foreign lang="el">o( de\ o)/zos r(i/za <lb/>ti/s e)stin.</foreign></s></p><p type="main"> |
| | |
| <s id="id.000814">In magno <expan abbr="aut&etilde;">autem</expan> librili <expan abbr="id&etilde;">idem</expan> <lb/><expan abbr="põdus">pondus</expan> <expan abbr="magnitudin&etilde;">magnitudinem</expan> reddet <lb/><expan abbr="a&longs;pectabil&etilde;">a&longs;pectabilem</expan>. </s> | <s id="id.000814">In magno <expan abbr="aut&etilde;">autem</expan> librili <expan abbr="id&etilde;">idem</expan> <lb/><expan abbr="põdus">pondus</expan> <expan abbr="magnitudin&etilde;">magnitudinem</expan> reddet <lb/><expan abbr="a&longs;pectabil&etilde;">a&longs;pectabilem</expan>. </s> |
| | |
![[BACK]](http://archimedes.mpiwg-berlin.mpg.de/arch/img/icons/back.gif){kind=icon}
Return to monan_mecha_01_la_1599.xml
CVS log ![[TXT]](http://archimedes.mpiwg-berlin.mpg.de/arch/img/icons/text.gif){kind=icon}
![[DIR]](http://archimedes.mpiwg-berlin.mpg.de/arch/img/icons/dir.gif){kind=icon}
Up to [CVSROOT] / texts / archimedes / xml
