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Show 154. ARITHMET'ICORVM {um dc qmuis bim embri quantitatcfimcjuc refidu LTBRI SECVNDL PA RS IL 155 hnrcpremiflim F. binomium primum.$cd psr cm‘olhr. I r" ali of'ccn dctur flcutpropopomtur. Pnoro'sxnto huius,ipflus f: radix eff c. igimr 13(31‘57i hnius c. binomium 831. eff, quod cf} propofitum. fimilirerfi a. qnmcunquc rsfidu a- Si binomz'mnfccctw per RKfIn'mm proportimmlium cf; com. lis,& b. cins bimcmbris quantitas propomonalium 8: com menfilmbilium mcmbrorum fuyponétur, {cmPer c. bino- mium crit.5icutdcmonfirandum propom'tur. mmfiwalrflizmz 7102;257:1155; , pron/mid ex dizlé'z‘ onc flinomium prim/ML). EGO a. l‘cfidi‘L m. b Verb bino mium : quorum nominanominibus prc‘porcicmlia & commenfilmbil m, mnius maion' , 5»: minus minori. Sccetur autcm b. in ipfum a.& proueniat c.'Aio,q: 32d C. binomium primum crit.P 0natur cnim (Lbinominm, cuius nominal, ipfius 'n. rcfidui nominibus, fingula fingnl'is {Intozqualix : CY ex d. in mproueniat c. .I-rircjuc per {TSP:mgciimamquarmm iurum, ema- PROPOSITIO Si qmeliber rcjiduali: quanriras ficcmr per bimcmL-rcm quamfi. tatcm proportionaléum (r commmflirabilz‘um nomimmz : prouem'ct ex dim/Pane tali rqfldmmb . Ofl'cndetur 11x: non aliwr, quflm prccccdc‘ns. St‘d vbu'n prasmiflh proponimr rcfidunlis quantitasflfic ponatur bnnembrisfi: é commriot& pm 3‘ 2." tionfialisltcm ex (Lin [Liar F. aria/{newer lbgtuzgcfimi pmmifllm f. binomium primum : quandoquidcm d 1:. (mi: bi. nomia inuiccm commmfizmbilia. Cumrjue pct Prima m (25.: 57‘ citanu'x fint, 8 5‘ 6c 60", & dcfcrifrio mancac c1d3m. {exti , ficur 3. ad I). tic c. ail f. Izzm idcirco, f1 {eccrurfi in e. P‘I‘Olléniilt-Cilu‘L‘J: prpucnicbnrclx diuifione iplius b. 1'11 :1.Verum e.‘rac10mns fingatque F. bmomium primum : igitur Bd Pkorosxrxo c. per {exagclimnmquintzm huiugbinomium primum crir. quod cmtdcmonitmndum. \ Pnoposxrro 84', Si refidnumfacctur per bincminm proportionaliztm (from; menfiuabilium immimzm. , pronmzfct m: dixifione Fania/ 4:22 primum L ch Purim ofh'n‘limv' fimilitcr per fidcm , ficur Pram ‘ led i‘bim prgméifil Fa) ' :1: r:!.i duum, hic p0 fun-r,bf‘%:'uf1fxn'y ":6 conrrxng: it pro 701.09;qu 7 If, qua: oquum _L.c ~leduumbus. ngus cXcePns dcfcr mrzo cf}: eadcm. ‘_ , ~ PROPOSITIO 85". _ S2 quwlébet bimemltris qwmtfimsfcccmr parrefidual em (plan? tz'tamn pzfoportionaiium (9- minmmfurszxiifi izamimmz, pronenmt ex dag/50m tafi Binomimp. Exemph‘ Marimfi . a.Rclidufi medialcfecundum argue bbimcdialc {cg-.mddm oroporrio naiiuxn inuiccm,& com menfumbih'um 1ncmbmzfum .D-:in- dc {ccetur bin ipfum 21.5: proueniat c. Aio,au<‘,~d chinomifi cm. Sumo snim igl'brum a I). quadram d céyiu iue per 61‘i d.rcfidufl terriu'mfic Per 535 e. binomium tertifx: pct 805 36 8c 8 1"" prgmiflas proportionalium 85 comme nfin'abiliil‘m nominumfltaziuc {cccturain d. & proueniat f. critq .1: per ant6= 86‘. S7". Impofibile gfl,£5:¢amium alibi, qzm‘m Enfwo punfio dfvia'ifirJ uam membromm diffiriizfonc) . EHO binomévzm cc ms cx membris a b. mniori, b c. z::inorf,vtr1:f'?niti::c ' '. Mag; impombilc cflcipfinn a cl‘rinomium alibi, (Nam) . :mfi‘o bfccari, vrpotcin punfio «Lira, \Ita d. d c. msm'nm inn; mtiomliaék potentialircr antum commenfiu‘n'bihr: ngd flc confhtSit binomium a optimum;{IrcunJmmquartmnv. vcl quintum : in quo vm portionum :1 [Lb c. rmionalis cf}: & tunc,fi punfium dfucririn portions mtionali , erit 131m portio a d. rationalis : {Cd dclfimcmbris, mm confinbitcx d b. rariomli, & b C. porcmialirc: tzmmm rationali : 11031 igitur Hit ('1 c.[‘orcxlti.1mti01m1i5, Vt gofiuht binomy‘ difh. Si vc‘ré punélum d. fllcritin portions b C1p0t6nfla tantum rariomli: coqeturaducrfarius Facerc iplam a d. rationalcm : Vnde b a. rationalis Crif, 01271 a. I). [it per hyp. mtionalis. Scd I) apatcmia ranri‘zm 1‘(tiCllfIliS : ergo d C. rc~ fiduum , & ncquaquam potenti: uriomiis. Hoc‘anrcm Pro Einomiis Primo ncquarm,m quflu‘s porzlic mzium' n b. ratiomlis ErgonirurJ'ro fecundo "it ;:c 5" m q11_1b:.2> bc. ferric minor mtionahs {upponitur transfix'c; ("11 £121 -munLPw tertio autem 8: 11x10 bincm‘tjsfln mubus vrrulz‘c C ponie Potentialiccr mnmm rarionaiis cf‘t, [is ifucgul. 1:. ~------« ' 01121111: |
