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Show 11~ .---,---,~ '·--· ., _ ___ } b.,...__z I> 9 6 6 •- -----' .....--------<1 ,_:-----~1~ ~ b--· I I fupta.b.amri.c.mumir.a.g.-=.f.fumlitcrminnar.ab.b cqu:tlh;.g. -; Cimilitcr.r.:ftt cqudc.b.tuncplOPOltio.a.nd.b. cfl finn.c 11d.d.fimilirudo au rem in addcndo aut oiminumdo imdli3arur bic fimr in 01fftt nitiouccOtinuc J'pouioua!iti:l'iddiw nO quantti ad quantitlltCq;ccn·ui!. fed ii,n tum ad p:opo!tiorrC.«Lotiaiit oicit cod.;' otdinc fumpfCintdligaturficnr cypofv ttundl:viddicct: l't nmltiplidanon rd'cranf odinuiccm frn o:dtnC carum quanti / mum:quibus cqucmulriptidJ all'urnunf. ft umlti~ltq:: p!ttncnon rcfcraf ad mull tiplc~ rcrtic:aur rnulriplcy feN ad mutriptc~quanc.fcd rdcratur fm primii 01dmC ipfa¥·4-GUIIntitarum:viddiccr multiple,: p1imc ad multiple~ fc& .1mulriplcy rcr tic ad multiplc,rquarre.([frit iraq; !01fuo illiuo oiffmirionts. 3nc6rinuc J'POl/ tionalc\J fumquatnotqu\itihnca 'l,PPOltiO;tllimcad fcOOm C fiwr ferric ad quar/ tamai ftunptis cquc multiphdbu ;;ad ptilllj-; tcrtiam. 3rCq; cquc mulrtpliobuu 11d fct\am1qn:uti crit ,ppo1tio multiplicls p1imc od multiplq:fc&: ficut multipli ci~J tcrticod mulrip!cyquarrc:fcd nOt~iffininit fub bac fo1ma.p:oprcr cam p:cdit ct..i.liccto r.rc rcfu:tCfit.llO Com( nccdTanti ur quaruotqnQntitlltco.a.b.c.d. finr riufdongcncrlo:co <p.b.n6 continuaf in p:opo1tione:nnn.c. fed pon·unr cC one prlmc~niuascncris:-z ouc fcqucnrc~> altcriuo.~~ qOpatct <p nccdfccfl ref em: mut tiplg prime od mulriplcy fccundc:-; multipkJ tcrtic od multtplc.t quanc. nO ilut~ multiplcy p:ime ad multipk,r tcnic:nut multiplq: fctic od multiplq: quartc q1non fanP.fnnt ctufdCscncrio.multipkJ Pm~-; tcrtie:ncc mu\tip!cJfctic-; 'irtdmt a uti nccc!Tcfumcrccqmultipliccood j'Jtwj-.rcniii:itCq;cq;:cmultiplicro adfcOOnt'l i]rtam:1 nO cquc mnlliplicru ad p1imi 'l fcOOm:1 irC non cquead tertii 1 quarrj q1nifi P. ~lliipliciti ft~ptionCcOtinuM tcrmiuiPtne,ppo:HOto cii rcnniniu fctic.n6 iOlffmitio . . 7, II' I 1 qu:ititotibuo p:opolriong,libth.i oitfmit quantita!co im,ppO!IiOako 5iit a tit im,ppolttonalcu intcrquoo C ftl'ttudo piopolltotni qti c6ti51t ouphctlcr aut quia maior co- ,wouio !Xttc ad fccundi \i.; rerttead quanei: aut quill minot 1" idl'O ciuo fuLit one fpccfro.1'::1:ima qmwdo maiot ctl ,ppottto p1imi ad fcOm Cj:; tertii odquatlum:'i otcimrboc moio: itup!opoltionahrao.([5cciido \"cro qitml 1101 ell p:opo:tio p!imi ad fctim (j; rcrttj ad quanli:'l: O\Cl[ lllUIOl tmpropomona lttas.oiffiuit ergo ens inter quao dl matol proponioprimi ad fctiam (j; tcrtic od quarrli qucctl maior unproponiona.hto:l :ottfLL!inonCaur( Cllnun i111crquau dt minorproponio primc~td fakrm (j; tcrUead quarroi non poult qULa tpf!l patct CJ alia.([£tiisiffucriur.4.quanlitlltroadquanunjlfnam'l:tcrtiilfurnprafnn cquc mulripltcill.'l ad fcOOnt-; qu:md cque muluplfda-; mnlttphd:t p,nc '2 fctic rd~ttll adumicc; nou fc babcbum fumlircr mulriplinbus tcrmc "qmmc rdJii\J adinut/ con itlllddtriouc oiminurionc-; c'i,lit'ltc:ll'c ·+quanrtf.liCJ cmm unpropomon~t ICG.([QOfi itll fucrit w multtplu p1ime f1t cqualc mu\ripllct fc.X. muluplq: vcro tcrticfirminu:lmulripbCiqu.artc.l!urg,muluplc):j}lne(tlrna•uv nu.l iphci fete. umlripl~ aUt rcrtic ftt cqualc.aut mutulJ mulriphci quorre.l!ur <p mu:rtplc,r i'llnc fttmaius multiplici feet! de: 'l: fumhtcr mulnplcj: tcmc multtphc1 quartc: wnito/ men pluac,:cccltr qu:itum od proporuoucmnon quantum od qu·:ttttatC c~cclfua. multiple,: prime mulnpk,: faX. i]; mulnr k.t tcrric multiplq {jrtc. :am ~V multipk~ prime fir min9 mu1riphci fctic. 'l: ftli"mulnpk,: twic multiphciquarte. \"crtitil nnt mm minuit quiui ad proponionC non quitU lldqu:itiratC c~celfuo: multiplCJpr[ mcmultlplici fcciidc:q; mutup1c,r roue a mulrirlici qu:me:cnr quohbct tno;: ·+ modo;z maior proportio prime ad fccii-;1i q; rcn tc ltd qmmj. Q uatuor aut( mol di& illio oppofttio cnt mioor .vponio !Xnc ad fmid:i q; tcrttcad ~in~ . .E,~:onp11 eiir iflo;:oium cuidcntcr fumii CJ numcrio.itddi!to @tl!a mu!riplkia j)!nc fupa multiple,: fcc(id( .1lon atir muhiphcto rcrtic fuc mnlttplq: quarrc: oc qull toquuur ancrorin Oitfinittonc:lfltltudm(babcr ad illoo.4.tnodoo p1cdictoa "ipfoo com prdXdit, \"il fcnfuo HH9 otlftntTLOIII:l C cii ftipth> ftt mulripltob9 'ft proponit fuc 1 rirmaior proportto mulnp!idu !X•~e ad multip!q: fcetidc (j; mnlciplicio rcnic od mliiplc~ qrrc:qitmaior,.pportio ~ne ad ~JJII Ci; tcrtic od (jmi:n6 oilftniuitoutC fub boc fonna.,pptcr cOe)citll Pull oictli.lld po1Tum9oiccrc ')' addi:lo ml'riplicfu Pmc fuP.tnll l!tplq:fcnldc:'l: u0mu1tiplici9 tcrtic fu~ rn!riplc,: ~rtc: N:q loqmf m Pntillil Ditfinirtonc maioria i,pponton~liraris .wncaccipit prom tcrt>a ourmu tionio fonoit: -;u6 fe q;tCdit nifi od fcOm (jtuor prcdtcto;t modo;z: I; mtrn quo/ tiber illo;z 'i,ruormodo;z fit maior ,.pportio printcad fcaidj (\; tcnic ad qua nom \"it fcnftro illtuo oi!l'inilionia Cell ftiptia Cit mulriphC1b" l't ,.pponir fi mulriplici pri mccyiJtemoiorimultiplicifcctidc:notJfltnccdl'omi<pmnltiplcytcrticflt maiua mnltiplici qnartc:tiiccrir maior ,ppooio prune ad fcctid.lli; rcnie ad quanorn. p1optcr boc aurcm non pofuit rchquoo trc~J GdditionhJmodoo in p:cdicta otffil nirionc:q1 iflc d1 illia: om nib "magla plan~!tltd oictii 01ffinitionC fuff ICifu:.llulq; f " ~~ ' . ,, ,..._._.'_, ~.. ~ ~"- · ' ~ ~ ,____"_ ___, " ~ ....L ..---1-. ~ ' ' ,, ' . .' b ' ~-·~-- ~ ,', ,_____"_ ___., ,___:____. 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