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Show ·"---•S ~--'' -~___!_j ' . ,____, '---' ,, LIBER 1t:nopofitio ·•· I oucqmmtit~rro incqu;alro.O.'l.b.c. fkq} maiot .b.c. zp:o/ po:tioncmur ad c11ndcm quanworc_nt qnc fit.d.olc;' cp:m11io:ctl pr~~:tio. b.c. 11d.d.(j;.11.Bd.d.'l<_p cconrntiomatotcft.d.ad.l1.q).d.ad .b.c. ~Miu ftc ptOt b2tur:pom1m.c.b.cqualctn.o.t mulliplimbo tolicna.c.c.'J' p1oucniat qmllllihw maiot.d.fitq:,.f.s;. 'l fumom.k.f.ito multipliwn.b.c.'l fimilitcr .b.itoa nmltiplic(. 11-ficut.f.l§.cft nmlriptcy.c.c.crtrq; per Pl~nam buiua. b.ita mnl!iptq; .a.ftcut.l\. s-dl mul!ip{CJ:.b.c.crit cri;un.b.cquali~.lt.f.pwptcrboc~~run_l fubmulfipliccs que rum.o. 'l.b.c.pofirc(unt cqual~:pomun quoq' cp.b.uo ftt ~1110l.d. fed aJUa lla:aurmoio::toticnucnim multiphcobo vmiqu(q~rriumquanm!llum.c.c.b.c.'t o.cquolircr:QJ.f.g.multiplcy.c.c.p:oucnhlt maicn.d.'l C)'.b.mulri~.a.n6 p:ouc niar minot eadem: ocindc rotlcno mulripllc\lbo.d.qood p1ourniat qnantitas ma Un.b.firq;.m.p:tma qmititas mnl!lplidU.d.Q fitmalo1.b.'Sub qua fumi ma}ll mammultiplican.d.aur ftbi cqnolan :fi. m.cftprfma in otdincmultiplicium .d. que fit.l.critq; m.l.non fir maiot.b.'lconllabit.m.CJ.d.!'Z.I. ptoptcr idqti omnc multiplq: conrtar c~ pwpmop:<:c.cdcnri mutffplid 'l runplo:'t triplumCJ ouplo: 'Z fimplo.c~ccpto prime multiplid quod confht cy. bls fimplo. ([ .Quia crg:o.b.C (qualis.k.f.non ait.ld.mino:.l.lraq;.k.f.'Z.d.nO efficient minUG(j;.l. -:.d. qua rc non efficient mlnll9q).m.'Zquia.f.1Ji.t1l mai01.d.Cfit.lq~.malot'i;.m. ([3nt rdlis:o i!)irurqnanriti11Cin.b.c.primam.d.fccundam.a. tmiam.d. qusrtam: 1:qt ld ptimam 'liCTti:lm fump~ font cqucmult,iplidla Videlicet. k.g:.1.b. 5imtlitcr quoq;<ad fromdam 'l quartl1m cquc mult!§:'licia:imrno idem in rorlonc Otlo:ii qtS tft.m.'Zaddit.k.g.mu\Upk~plimcfupcr.m.mulriplc):fccundc: nonodditaurwt b.~ltiplcy tcrticfupcr .m.multip\CJquarrc:air per oiffinirtonan maio:W im,pt pOHfomllitlltio maio1 p:opo:rio.b.c.ptimc ad.d.fcrund.l Q;.o.tatic od.d. quar 1 IQm qtidl primum. «<ScamdUp:obabis pcrC\lndan Oiftlnitionon conucrfo(iz dinc:rt.d.fitplim11'l lcrtia.a.faunda.b.c.qullrto:Qdditmim.m.maltiplcy ptit ntt:fupcr.b.nwlllplicanfoomdc.11onaddil:auran.m.mnltip~raticfupa.k.g. muttiplfcanquarrc:quarc m'JiOl dt propouio.d.ad.11.ij;.d.ad.b .c. qaoddl fa Gndum.([.fy. blHus au ran toononllnuionismodoplltctfuffidcnria oiffinitio/ nioma~oriB imp:opo:tionalitolio: ~; pofuit 11uao2 in p:iucipio buioo quinri. flufqno cnlm dl mafo1 PtopOttio prllnc quatuot quantitatnm ad ftnidam ij; ta &fcad qullrtllm.qnin cominsmr tliqu; cqucmultlplici; odp:irnlltn 1: rcntam ro pniti:quc rum rdatll IUcrinr ad aliqu; cquc multipUdll fcomdc-: quartc: ihiKllfc rurmutriplq:ptimcaddcrcfupamllltiplc): fCCUIIdc. 11onourcmmuttiplcJ taric fupn mulriplcy quartc.bcc: au rem molriplida fie rtpaianus :ftcut oanoollrabil ttll»lnfnlfup:a.r:.baiue. 'llb•opofit\o .,, v ·9 fitcrit 11fiquaF qnantimnam ad \tnllrn quantirarcm p1o po~rio : \'IT :I lplllscflC clil(o. SOl vcro \1niuslld cas pto, pomo '(lmt 1pE1s cqnalcsdfe nccdTc eft. J ~~!~~~~;~~:·o~;~~~~u11;:;~&":~bp~~~f~~'~:~ :~ri:~~~~~=J~ bucvicoclladfccqualro .bactlconncr(a.7. ?lill¥1111 ficparcr.fi cnim non runt cqua!ro:fcd alrcra cammmaio::\'tporc.a.crit pcrprirnam parrC.p'!CinUTc 11111'10! pwpo:tio.a.ad.c.Cj;.b.ad.c.quod c1l conrm ypotbc. Secundum quoqJp3tct: qt fi.ullmalo:.b.ctir pcrfccund11m panan ptanilTc mafot pwpou{o.c.ad.b. Cis ad.a.quoddl ctiam contra fPOtbcfint. ~:opolitio oiO. 11 fitcrfr \fni'?ad qniitimtC vmi aliqu5 ,ppo:rio maio~ qui ~~~~~:~~~!~~~~~~1~~~~,~~fc dt~usad candc; p2opo11 Qti fi fuctit m~iOl p~opoltio.o.ad.c.q;.b.ad.c.oico.o,"ctTc ma;io rcm.b. 'l fi fnclir maiol.c.ad.b.q';.c .ad. a.odbuc ofco.o.dTc ma;iozi ll.bcc c1l conunfa.s. 'f::>litnmn p3tcr pcrp1imam p'lrran.7.t prrp:imam .s.n3m pcrp:imam Pltrtanfcptnnc:non rrir.a.cquahn.b.nccctlam mino: pa pmnllm ocrauc.5cnntdmn l'CfO po;cr CJ fccm1din panibtwcamndan. 1tb-~opolirfo .11: fitcrfnt qnanriramm pzopomoncG a1kni \mi cqn~lcs iplilt.'lqnoq;,pponionro f1bi inuicCrqualrocC ncc(nrc. ?lOPOllionan bflcqui cudidro in p:incipio ptiml annun~enwit mrcr c&nuncsllninn conccptionro:qucddCfnnt cquali:~ ftbi quo/ tUfmucqnalia:,puttc quanrlratlbua inrclligiturbic oanonllnn p:ouc p:opotrlonibtroaccomodarur .~ergo \'tfllQ} Ollarmn p:opo2flonnm que iuur .a. ad.b. 'l.C .ad .d.cqua\is ptl."pottioni que cll.c.ad.f .oico pwponloncs que funr .o.ad.b. 'Z.c.~ad.d.ftbi inn lean dl'c cqua!eo.Sum'lrn Cllim.g.lld.lill.t .b.ad.c. .,.l;:.ad.c.cqucmulriplicco. 3tcmq~.l .ad.b .t.m.ad.d.'l.n.ad.f. c.quc mulrfpbl cro:tqnill per )'PO(bcfim plopOltio.c.ad.f.dl fimr.a.11d.b . .z funilircr fimr.c. ad d.ctir per conucrfionan olffini.tionill in continue pwpo;tiona!ilatio bio fnrnptG fi.k .addir fupcr .n.cp.g.addit f upcr .t. 'l. b.fupcr .m. 1 f1.k .minuir ab.n ·ll' .g.mit nmu ab.l.t.b.ob.m.t f1.k.dl cquatio.n.qd.g.ftr cqaali~>.l.-: .b. cqmllio.m. quio igitur .g:.ad.l.'l.b.ad.m.ftmilitcrfc b3bcm ln~tddcndo oiminucndo 'l cquondo; mcdianlibno.k.'Z.n.cril per oiffinilionon incominuc pwpoltionalitaris.ll .ad.b fU:ut.c.ad.d.quod dl pwpofirum. 1tl>>opofirio ·"· 'Y fiJcrirp2opo~rio pzimi ad rcrnndnm fknrrarij ad qttllr n1m. rcrtij \'croadqu11m1m m11i01 ii;qninri adfc~ru crit ptopotriO p:imi ad rcamdutn JnlliOl ii; quinri ad l'cytum. Sirut in ptcccdCti 9' bic ocmonllrat in p!opOltlonalibDo concct ptibilcdl in ijntiiatibuo:9iddj 'l' ri aucijntitii[Cl.l fuait!ibi, in,uk i . ;'. .___ ~!...--?,!.._.____! ~-- (-- ! ~ "',.._____!. , ~· '- - · ~~-'-~" L |