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Show 14-6 113M SECVNDI, PARC ".147 ARITHMETICORVM (hmrc per 5'35 ipfa d. porcntior critqufim nexcelfigcui" ra: dix 6H: commenfirrabilis ipfi (1. Cf] ipflzrfird c. porcnrizt {int k Hraqucpcr (I iflinirioncm totum d cubjnomium primum 1 PR0P051110.64;. Omni: qtmntitas commmfitmlzilés rupiam cxz'rratfamlizzm cfldpfi ii [3 c. Commiumbilc, quod cmt dcmonflmndfi. Si- "ordinc, eff ciufilsm gmerz's z'rrflfomlix. lit habct cidem proportionalia (5r cawzyzc'fljkrsbéfia noim'nx. Bio 31 qu-m rims , qux- milircrpro binomio ibcrrndofi: rro rcrtio proadcmus. E: Piamwcl porcmia mnn‘ua I‘flt'iOIIELHSfl'Ql nardmhsnci bimé pro quarto $2 quanto & {cxto oihndcmusquoi maior For: do potcntior (Fr minori in qumh'aro luxdicis Iibi incémmfu [abjhgfiyllogzizires Per P" ibxri,& per portiOnS vorikm. Scd per 5 2.2‘ &‘. 52:19. iduccmus duo corolhrm fcquériaqux agar bris, fiuc rcfidmlis : 1:1(10'1; a. cummcnfirrmms fro b. Aio, qubd 1:. vii ciufdcm gmcris irrcfionolis , cuius a. Diuidatut cnim [Lin [pi-7am afic Proucniat c. Cliujuc per 5 ["1212th c.1'a dcincémeniurn' Hibus: qu trioquidé, in 4° 56 5" IX: 6f,‘bi'. iam amulriplicaus aficit ipfi 2.11 b.Rnrion.rlis aucrm nomijsgmaior porno-potsnrior ciE minori'in quadrato. radi tur per 49‘ bums, 11 :1. fit vmlncnfivrrs quantlms, ii bum-rm cis. {1131' incém:nfnrabrlislrépro rcru'o & 1L>:tobinomijs,in bris,ve1ruiichi;1lis,pcr prscccdcntcmfirr: bxiufltm generis, cuius a. Sécidcm commcnfhrnbilis :quod at propofirnm. Qubd rmrcm blmbcat nomina proporaiomlia & chcn fil- quibus porriones {amt potc‘uria rn'] rationalss, ad oflcndend5. porrioqfi I'M-drum incémcnfirrabilimtcm,Cimbjmus 485 liuius.Simiiirer,fi araricmlis m ulriph'cc't R cfidlulxn.cuius membra fun: b c. acproducar d c. oflcndcmus (I) de. eff rcfiduum ipti b c. commenfirrabaie, tin-titan (peas. Ouod cnim d'cmonf'cmtur dumcmbris binomi} , demcnflmthT‘dc mcmbris ccucllrumi v‘cfldm‘: qunndoquidcm in diflinirionibus roman: caflcm conditioncs. Rcé‘ccipituridcmd: wrorluc proponitur dcmonfbmmdumgr U PROPOSITXO' 653'. Omnfs q." ‘T‘timx ‘Patiomli: 7".':r'rfgr'z'n1xzs 13:13.1": airmfio‘a‘v mfézmz qr . mt m, flue bfmr792.'v‘€;7z,fi,:c £1":9;"cllaz.7"3rrr'i« (1211.16: "fodfti‘ffC'itififf‘ii'sziZL‘.‘25p; . ' .15, ac mulréblmgm‘ comincwfu'abk.' gerC " "a: Binm'nfa , z ior prrmiflh: ibi chim dc‘ o, : hic Vcrq d; (EU Hiker duo~ cam irra- tionalisCL‘lm Vcro quoriés m diuif'orcm producu diuif‘um, gi- rahflia nomini'ous iprlus aconfiabigfi qm {cmrur a.eadcm rénc in mé'bra {ccccur & b. qd era: propofitionis rcliqufi. Pnovosxrro. 65". 07717235 qzmmmrr fmzlamii: diuZflr per qmmuis rationalcm, exhiln; 52.721011: sic. ' m‘rvctcm fibicogizomiizcm wrommcnfl4r.zbize;,r1.li‘ my? "aria,b.qugmrims irrationalis, fiuc vni- mcmbris, {Eur himunbris, fiuc rcfidualis, diuidarurper C. 'rationnlczn, G: proumiat a. Dico,quo;{ 3.. eff ciufdcm gene‘ris, cums ‘L'v. CY ipi} commmé‘umbihs. Nam cfim druiiorin quormcmProducarmudumzmm om awudafzzuct xpiam b. Ducamrigitur c. in {Finn d. [1131' xquakm , 56 prod-um: I ipfzrm c.crirqucc. rationuli r pct 1w mum [Examicut d ad 2. 11C cad blirpurrnrztmiknficur (bra ‘. ‘c mud hCommcn- UL' rrlrionalis. Igi,. r 2})11 b. gunrc , pct mom-1""; 1' ,- ‘ cxcmp‘ign;‘xtia,ratioznlis aqua! mnlrzr-Lrus normed-dc fccu::dmn,& Prorlucat c. Aio,q) C. fursbilis nutcm cf‘r ddpfi c. quOv ‘ tur Pcr48"‘huiu§,& :1. ccrrxmv. aei‘r‘ilmdi prcccdcnrc1n,crjt 6; axiutdcm gem-r13, anus 1111a b._fuypo~ nebamr. quod crat demon:"tmndum. l'kopos ‘r 'r x o 66‘. A {ccunr‘rum it ipfi 1). commcnfirmbilcéir enim. lphus .".(!",11er.50 ciLquod rationale crit,:1tquc ipfius b. quadurum 1'1: aquorfivcr :1:2it:qmgcflmamoéhmm 11mm, 'rir Bin/miner [crrifi : DJndc dbmultiphcans c.1a1cmt ipfhm F. crirq‘, flpn‘ prxcczisnt5,binomi{2 trrtid. Scd per corollarifi, 1 1‘7 huius {quadratum‘ effipfius C; ergo per 52/511an C. radix ipfips f. binomij terrified: bimcviialc {:cundum, (1d filit propohrnm. Eadcm penitus argunrenmtionc wens pro rc- liquis irruioxmlium‘gencribuv, mm bimcmbrib L19, qhém re fiduahb'usficd in rcfidualibus, pro quinquagcfima oéhua, &F57 .crmbis {exagcfi‘mam primam 7. Scfcxagéfinmmqug dc gumduxs loquuncur : mquc confht Vcriras Propofiriom's. 0mm: (Em: qumzrimtcsi rm: commerfimbiles conizmizrc, confidant eiufdcm gem-fix quantmrcm (17 fit: (ommrnfumbzlé'. Sumo a b. quantitates inuiccm Commenfin‘abilrs: Aio, quod return :1 b. crit quantitas child-cm gcmris, & ‘Jrrrqu‘c ipfarum a b. Commcnfilrnbilis. (god cmm a bxotum 1plrs a b. fingulis CHE Communfurnhk , Lonihr, pcr quadrv‘rgcfh mam fexmm huius.Qu€)daurcm cmflirm gemris Cum lphS. Confiat Per prgmiifinrfcxagcflmam qrmrramxonflm ergo totum Propofitum. [ C O R OI F ‘ 1? my» I. ' |