Elementa geometriae

Page 69

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')ibzopofirio ·4· "9 ,ppolimsfuerirnumcr9mi~nuaquCnummitpzimi .arti smui nO rwrnmbir cU. gliquto ~mmcruspzimus p:ctcr ll (OO llflit)DilfOO; tiStr.o.mininmo nurncrua: nwncnn9a nurnaisplintis qui fiir.b. c.d.oico <}'aliuuptimno prcrcosn6 nultlCNbir.o. £,;in au rem fir.c p1imutT nurnccia cii firn.f.qt CI"I§O qmlilxr nurncro;.b.c.d.nuntcNr .~a . .pduaii CJ c.in.f.CautCquibb«Co!UIUp~muo:fcquirurq..JJ.fcprtmi:vtqULlibctco;znumu rcr.c.,d.f.fcd.c.nulloo numcm cU fitplimua:quihbctcrgo co;t~nummu.f.!curn itllq) fit.f.ntinot.a.vrpotcqul numrnu ciifm. c.n6 mr.a. minimua nwncranro ab~ti!Wqtidlinconutn(mu. .'lfbH~pofitiO olf•. # eric cOmmfnra.bilis minimi 6m .ppouione; ponatur.b.nurllCNrc.c. oico cp.b.dl c6mcnrumbilio.f. ~ct.s. ument cui in cadi ,.ppottionc: qullluotmit nimi qui funt.k.l.m.n.c6fhu oiitq: f~ ommi w cy.f.in.m.fit.c.Qiioquln OOtint I§Cfcl dTcminuominimoqtidTc nO pordl.itoq} per concr. J 3.rcptimi crtt. b.c61 mrnfurobiU'il.f. vd.m.!p ft.f.c61lllt,ppofttum:ft<;~iit.m.fmnanf in cadi ,ppotrio nc trcs minimi qni fint.p .q.r .crltq) CJ(a$o ocreui vt. rn.f11U cy.f.in.r. nc:mtnull mimo olicjd cCcosemurc6ccdcrc :Qrc pcrpll'dicn·, cond' .b.( c6mcnfur11bllis.f.\'f r.fcd nO mt.f.f1C cni conllab:~r p:opoflrii :c6mcnfurllbilioisirur C. r. qui cum CJ fcqida octaui fi3t cy.s.in fc fcquirur q; oicto coucr.ut.b.fU c6mcnfurllbili:o.s:. qti dlp:opoftrum. 'lfblopofido .u~. fitcrinr nnmcn qnodtbcr cOrinuc pzopmtionalco i fim. opouionc minimi qn:libcr eolu311d compolirum ey. rc niop2imiad1Cnccdlilriocornp2ob9rur. 6im.a.b.c.d,c6tinuc ,.ppOttionalctJ -z minimi.oico cOpofitii c;r.a • _ c.ptimii.?f~a?:d:_?i~ni n~.numcrgbitaliquio nmncrusquifi:.c c~pofuu c:r.a.b.c.oz.d.~~pnulfli 1151~ cr~t:c.cotca•l~ alrcri tcnuinO¥ ill ius ,ppouio n.to qui f~nJt.f. -;-.s.cnt UIIq) numcr 9lt~s num~s.c.-z Q\tcrmn ono!um.f.g. qui ftt.b.qma CT!5o.b.numcrat.c.numcrabJt.d.'l copofirum CJ-11. b.c. -zquia numt/ nu.(\'d.~J.qno;ii Vtcrq; numeral vmiq; mcdiomm -z Hmplieitcr o..1JH pli::~ ouo1 buo fun:c:r kc~d~ O(taui ~~qmf u~ ip.f~l.IUII!crct:~·u.crso u.q: numcrot totum a.b.c .. n? funt •su -~--z._d.? f' pnu qoc mcoucmro 1~-J .octaui:ftl'r quoq; conftabit ,ppofttnc;r.a.b.d.ptltt~ cc ~d.c.f1 cui \'t pliUil.c.nmnnat iibos fcqtn{ ~ j>mtiTam ut ahql~kliiiUncnts qntc~ulir .b.nun.'c_.m.c.~ altcni ouon1.f.g.itQq).b.numCTQt C-'liOtn.a.b.d.fcd ~-b.cu vmtq) rodtcu numcrclomnromcdtoo :tstf'l c6pofitii ' c:r.a.oz.d. '< q1 :JCCC1!eri~ n~mcrot11hcni ou_olli.ll.d.c•i numcrctoltcn1 ouo:ii.f.s-. num~robtr -. n:hquu.llo fur •strur 11-'<-d.corro f( p11mi:'l ira idC ur pn' C:ocm6 n_~jr o.~r idCa.lttcr 0( rnb; c~nm~e_Jyo~l!~alibq1 mimlo nne amin1cu!o ~nilfc,pl bJtcntc;cqn~ou.f'-1) ouob ~10f11n ~'tnu ccad rcliquii.ftllt itgq;, . .J.c6ltlmc ppot/ nonn!cu " mnm.ll.b.c.qno;.: 1cnnu ti .d. -z .c. toKO ttic compofuutn c;c .a. 'l.b .'p:imii IX CITe ad.c . ..- c6pofttti q:.b. 'l:.c.\ld.a.il(q} ey.G . ..-.c.ad.b.uumifcilii cnfm dl c:r fc1 cundaoctauiq6cy.d.itt fcfir.ll.'l! in.c.f1t.b. -.cy;.c. in fc. c.-.:q.u.fcptimi.qci.d. 'l:.diir c6trlt fc ptitni:itllq) CJ Plnlli?fC.l?.ciufdCl. T\1 tot'. d.c.f-n' ad ftn'iq) co;.: q11gif vrcrq; OIIOJ.! tmmcro,.-.d .... d.c.pnm' C lld.c.liiti2-Zf.CJUfdCqu'i cy.d.in.d c.;pducimr-:- ipfc CcOpofiruil CJ.II.t.b.j.lnuo:ad.e.fcquif ergo jp6.oufdC.ut ctili c0pofltu9 cpa.'< .b.f1t i)in99d.c.fit cni.c.c;c.c.i fcC.6imili quoq} ocmO!lrarOc .VI babis c6pofirii c;r.b.-:.c.j)ruii dTc ad .a.:ar vcro c6pof111i q:.a. 1.c.V.mi dTc ad.b; fie l>abcto!ni fit cni \"!cr<)3 ouo;.d. t.c.Prnus ad roru1n.d.e.cril ~~.1 5 .feplimlqui ,;r.d.h~.c.,pduClf:-z ipfcdl.b.jl.nus lld.d .c.ira~l:·l6.dnf0C qm c;c. d. c.in fc ,pi ucnit:oz ipl'cdl qui c6pomt q:.<;~.oz.C.'l ouplo.b.)nimu\3 crit 'ld.b.fcqmt crso corn polirii c;r.o.-z.c.j}tmi dk ad.b.ncc,ni: cni i:ut q: ouobuu c6pofiruscii plimuu fnc rit 11d \lmi co;: c:rqulb" co•npomf:flt prirnuo 11d rdtqmi:oonoutlrarutn aln C boc: fup711.l9.fcpttlni.Opotfct 111it ftabihrc ad robur itliull oononftratiOio compoftrti ey.a.oz.b.Jlduci c;c.d.in c6pofir1i c;c.d.-z.c.fuppof1tO I}'CJ.d.m fc ftt.a.-;: c;c code; iu.c.b.itl'<U 9' cy.d.c.i fc ,pducat c6pofir1i (J.IJ. u. '< ouplo.b.fuppofiro co quod ~~tiWr~r~:~~~~~r~;~i~:;::~~~~N~'~~o~~b~'~::tr:~~~~~~ocyoucrll e , s ~i::~~'lii~~r~~i~.;,~~'.~r~~~::;'~~'-'i~.~~~:.~~~~~~·;~r-~.~~~~~~~~:;~~ Z --, - ·--. -· cOpofitii c,u.v.f. oz.g.fcqnif cni c,t c6ucrfionc oitHnirionis due qti mulriphrot nt tot'> poro: fit.b.e. -zrora.c.f.fed oz.d.rota.g.quotll C futtao.ll. per quinr:i 113q~ fcl prhni!tota qooq} i:OS mt c.;pofitthJ CJ. b. oz.c. '<.d.compol~i CJ-'-"· f. t.g.quora ell . ~-· \'Uilas.a.crgo per oifhni1iouC q:.a.in c6pofitti q:.b.t.c. 'i.d.f11 c6pofitnt~ c,:.c.-z r.~.g.q;;dlp:opoftlli.C:./Qtifireyl:lncmqucthbctrmmcrolutlllll"'lltut ,......._.!_ -· -·~ ~'- eqm1 ( ci qti fir cy cOpolirc emil in cund~. (I t>oc C c6ucrf1i c1utJ qti modo q oauontlr.uiiC:vtftc;c.b.'i.c.'l:.d.in.a.filnt.c.'l.f.'l.g.llctqnOQ)COpofuutJcJcO ~ ~ 0 poftto icund(:qtic;c .• ,..fl-ptimi 'l fxtcmonflmo factkc6chKhf.([..!Oti flrc1= ou >-----' cru quotlibet numero-r: in quorlibcr.atioo:cqmi dl ci qD fir q: cO port f~,~~!~~~~~~!f~~~~~~~c~l~~~:a~r~.;;~;:;:~~~:;~~~;~·~~~!; - ,-' - -7-' fitocy.ll.'l-b.u.incOpofniic,:.d.~.c.'t.f.ctl cni Qptcmifftun qtifuc;c cOpoftro ......____. ----. -- c;r.a.b.c.in.d.qultii qtiq:finsulis in illii.d.fic -z in.'c.'< in.f.c:rc6pofito mit bo:.i <;~ .b.c.in quCbbct llioiZ.d.c.f.P.Iltltc pmilli fit quitti c;cc6pofato 111 c6pof1tii.it'Jq) (onllar ,ppofirii.U"!Rumcro in quodiba P,tCG omifo: mnn1 eft qo fit c,:: toto coin fe quanni q6c,::co inomncoluaGP.fCG.U)dt; ,pponil fc~3 fCI >-·-;:-~-;,..::,-. ~·~ omdi oc linl'ia. VI (i.ll.oiuidaf in.b. oz.c.t.d.oicoqti tatttum fit c,.· .a.m fcquantii in OCs iRou.b.c.d.pofito cni.i:.cqnali.a.conftar cy;p!fmg bavinridcnrui uii fieri .:;r.c.in.a.qujcti in oCu 1~1cs.11.fed P. cOccpr.c).".c.in.a.fit qulrum CJ.a.ln fc.o:- c;c.c in l~rOJ.\l.qullii c;r.a.i1t ufdi.Dl1anifdhi ergo C -rev dfc qt) oictf .(IlJ.lumcro in ouo t'liuaro qti fir~ roro in ~II rerum oiuidmnum:rtil ell qmwni qti ~~~~~~-~-'!.~~~~!~ ~~r~~~~~~~~~~~~~r;;.~~.:.~~~~r~~:.1~i~'.~~ ~~~~~~i-~~ --'--?--: , i quiriiqticy.c.in.II.P.·•'.fcptintl.fumptoitaq;.d.cquali.c.cn:t.ll.fn.c. quamum ~ d.iu.a.1H per ptbuil borU.d.in.a.iquantti iu.b.oz.C.Ql c:rso.d.itt.ll.'l! i.b.oz.i.c.C quanrum.c.iu.<;~.oz UJ.b,-z in Cc p1optCT cqualitatcm.c.'l:.d.conllat p1opofunm.