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Show . ·~: ~u::P • LJBER -tqnarra P,i linca.\l.c.ofuifllll t~ia.mctro .b.g.on~nBfr '1 P. ~lilia i p~icro.k.qt ai fCiuirin'uluo.b.a.g.fit ci}lis fcmLctrculo.b.c.~.'larc· .b.r-:~~01- b. c.ft~ur :;>flu q.21.tcnij cnrarCU9.1l.s.rcfidn"cquall~arcuL.C-S-tCf(duo:toq) 'F vlt~ma fc~1i 11ngulu\J.Q.b.g.c~!is Clii an~lo.c.b.g.cn i~aq; o~o Ia rem. a. b.-: .b.lt .lnll~II)Uii.ll b. k. fint c&li:~ ouobno hucnb 9 ·!·b: ot .b .. k.man~t~lt.c.b: k. 'l angt~luo.b . ~~~m~ nn 1 guto.b.llltcrius:crit (!Jquartll prm baft~.a.k.cqhu ~af1.k.c. 'l oro ansu_l! qm func sd. 1:;, runt recti c;c ~nirna P.tc tcrric rcrriJ:Oilmctcr 11u t.a.b. fccct Ia ruo pcrasoni .c. d.in puncto.l.fritq; f1lirn linro.c.d. oiuifo.ll cia metro.~-.b. oHbogonlll'r~ P5f tqu\1\ia in puMo.I.Cti cni lint ouo armu.a.d.b.':.ll.C.b.cqk:\J 'l ~rcno.'l.~f~r cq1 liollrcul.a.d.crunt ono rcf1dui fcmi<irculo;zqui fur.c.b.-..d.b. cqlc~J qml> f1 fubl rcndanf ouc cb01dcquc funr .c.b.-..d.b.ipfcqnoq;cJ.l&.rcnij crunr C~lU!lka o;"qt ormo' .a.c.C co.ualt\J armt.a.d.crit c): ...trimll fcyti angu\ua.c.b.t.dilia gngulo.d.b t.tdcoq;pcrquartii p:intl bali~ .c.Ldl cquoii\Jbaft.d.I.'Z onmro lllll)l!!i q~1i funt ad.\. recti c;c p1i1111l P.tc tcnfc rcnij .fll!q) ouo lrianguli .a.c.l.'l.u.f.t;.fut cqan;ju/ li c;c.p.jimi.£11 cni ailgulull .t.moiotis cqua ansulo.k.mino:iaco q' ,.1er9~ dl rccrua -zansnlua .11.Cc6ia vtriq;:quarccy quart a fcyti ,ppotrio.\.c.l1d.c.a. c f1mt k.f.ad.f.a. Sumllf igi( cyotanlctro.b.g.linca.f.m.cqnaliaquam pan! fcmidio/ mmicritq; pcrcquam pwponionalirarC p:oponio.c.l.lldqmutj pan~ Iince. a.( que fir.c.q.ficut .k. f.11dquamun p-arrChncc.f.a.quc dl.f.m. zq1 ~· 15.quinri ,pt po:rio.c.d.od.c.k.cll firut.c.l.ad.c.q.ficcni ell ouplum ad Dl!?lurn. fi~n f1~nplu:; ad fimplum:crit P.· 1 •. quinU.d.c.ad.c.k.firnr. k. f .ad. f.m. 'l comncttlmce coil ant ria c~.d.c.-::.c.k.od.c.ldicut.lt.m.ad.m.f.'l iO per p1imam parran.::. .Jc~i p:ot poulo qnadrati lin"cOpofit~ cy.d.c.'l.c.k.ad quildrarti Iince. c.k. finll quadrati limc.k.m.odquadratii linec.m.f.cOilat 11111( c,: pmula g> fi linro. u. c.oiuidarur lim p:oponionC bJbcntC medium ouoq;c,:mma maio1 po1tio ci9 crit dilislincc d.c.il)ifUncaconllahac~.d.c.t.c.k. cOponi[c~ tnlliOli po:tionc oiuifcfm p~ot po:tion~ lnba1tC mediii ouoq:; q:trcma "c;c medietate toli9 \incc fie oimfc:C mi. c.lt.rncdictaa.a.<.ihlq; P.Ptinli tlliua. •!.libll qu\ldratii Iince compof11Cq:. d. c. -r.c.k.quintuplum CIIKk\5 Cod quadroui lincc.c.'-.ideoq; quadroumtlmcc. k. m. quintuplii quoq;C ad qulildraui lincc.m.f.cum ftt bo;z quadnuo¥ 'l tl!..,wm ~n:t ppo11io C aiir linca.b.m.qulmupla od lincj .m.f.crat a:i .m. f.quana P." f01tidi~ mctri plopofiricirro\i:crgoquadratii lincc.'-.tn.11d quadrlltti lincc.m.f.cll lintt 11 ncc.b.nudlinc\1ltl.tn.f.crquiacyfccunda r.rc. ,s.fcyti quadratii lincc. lt.m.ad quadT\1lum Uucc.m .f.dl ficut Iince. '-.m.od lincarn.m. f. oq.plieiuo:crir c,: fndcci ma quinn linca.b.nud !incQln,m.f.fiOll linca.lt.m.Qd lincam.m.f. onplicar11: igiturlinca.k.m.dlmcdioloco p:opOJtionolia inter ouaa lincas.b .m.oz.m.f.qO ficconllar.eitatim linN.n.p.mcdio lom,wouionaliaintcrc.asfiipta ~moot ctrinii ttonc fq:ticrirq)c,: oiffinitionc ,wottionmouplicorcquc pof1ta C i Pncipio quimi ,ppottio.b.m.ad.m .f. firur .b .m.ad.n.p. oup!icara:" q!.b.m.ud.n. p. fimr n.p .\1d. m. f .crit ([\3 Cf. 1 1 .quinri ppmtio.b.m. ad.m. f. ficur .11. p.ad.m.f. Dltpli' cara (Sif CJ p1ima P.:"· 9.quinti ouc lincc.k.t,n. 'l:.n.p. funt c(jlro: iOq; c;c p!irno 1~re 7.qulnli1CJfc6a ~tcciufdilin(!;l.k.m. Cmcdio loco,.ppo:tionalia inrcr. b.m.ct m.f.quarcc;t<oucf.ts-.fc}"ti p:opo1tio quadrotllincc .b .m.11d quadrarumlincc m.k.ificut( linu.b.m.lldlint111n.m.f.'lquialtnco.b.m.i quintuplaadlincam m.f.critquadfl1tunllincc.b.m.qolntuptU ad quad~tai lincc.m.k.lmca atir.b.nl. XIII ttl rcin~liu lttlo.)nsirudiuc:cr<J:o Per \!lrimii P.:tC.7.bc<ittti linea .m.k. ell rciualill ill potcnua t1it1 q: lht(J.b.m.C porcmio: littca.m.k.fn qnadroro hncc ftbf in<Omcn furab•lis in l\)\tgttudutc vr in c6riuuo ,pbabtr crit liltcJ.b.k.rcfidmi qulrtli c:c ofF ftuirionc rcfu!m qmarri..Qti :1tit p:obandii ll\Tumpfunuo f!Cparct.ftt lllmtcrua.r; quintuplu\Jadnumc;z.f.futtq;.t.'l.f.quanui.r.ocfi!cffcc,r.qumq;.f."nli.r.quarn o::'lftt !incJ .b.m.porcmioJ linca.m.lt.in quadr..:aro lincc.,:.cii (:!Lf fir qnadrawm li.ncc.~.m:1d quad~!lrti lincc.m.!;.ftcur uurncrq.r.nd ntuuq.>.f.cnr ~~ cucrfJ .PPO! t•onahrarc qmtd.Ntt~ ltncc.~.lll.lld quadrani hncc.,:.f!Cill numcr9.r.ad nu1ncy.r. quare per \!lnm.t ~~c. 7.Dcctiln linca.,:.C inc6mcnfurobi\16lincc.b.m.in !onsirudi nc.nOcfl" ~rso oubui ~uin .b.~> .ftr rcftduii quarrfi .V!Janifcllti ~cro C q:. 14.rmij: -;ptUudqi:l fu c,:.b.k.m.k.g.ccqnalcciqtiftt.a k.m.l\.c.tdcoq;cnj ipfti id~mdl cquolc quJdr~to.k.~.c~ q:.a.k.C cquJ\io.k.c. ergo qnad\"lto,). b.l;.addito vtriq) cntcJpcnulrnna p:nmqoftt c.r.b.k iu fc'lin.l\.s.cqnalc quadraro .b.c. ct q!C): ~rimll fccundi quo;;, ht c,: .b.l,,u• k_-. i.l;.s.cll cqualc ct qcifit c,:.b.l\.in .• g.b.crit lmca.b.c .llllull tctNij:omoi fu,~ficict conrcnn a ouabu::~ linci.~.g:.b .... 1\.b .-::quia li IICl.g.b.Cr.Sualio:linc..svcro.b.k.~rcfidmlqulrtll.'lql lliiCapotm:;in fnpcrftelC e linea r6nali rcftdll1Xl3 quarto c6rcnra dllincamitiO! "c Co.)llJlttr CJ.S?.O(cimi hb:l r, nc(dTccll bncj,b,c.quc dllarut~ pcuragoui cqmlatct1 ,ppolito nrwlo lnfcripti c( \ lmci nuno:cm q~~na r cy p:in~!p_io ~nonll_raudti.!Jcc LTSO m6 fcquif p 1Jt9pcn ~~~:·;;~~~~:~~;~\~~~J::;~~~~~~~~~~c~i~l1t~~~:;~~~~l1;:~:l~~~r~:~l~~~i,~1~~~;1~:~ ' G _____.-;, ·_ ttn.'ldbuc ncce1Tc dl VIIJtus pcnt!lgoulcquilarcti f1bl in(nipti fit linea mio:. cllo cni lm~J.a.r6ualio tn porcnril nil ful):a quj .xfcribamrcirrulu:>clq; oc(cripto il fmbar pcm«gonu9cqmbtcmpcuiuo fmi laruufit. b.c. oiconfq; Pl11l'3S:Ollll:J Ct armlntJ.a.otco 1}1 linca.b.c.C Iitteii minOl.Sumatur cui aliqna linea r6netlll\ i lou giluditlc que fir .d.~ fupcr ci linccturcirculHo em infmi.Y.If pcntag:otmo (<)Uilltcr? ~fir vnialawo ipfiu\3 hncJ.c.f oironfq; pcntagonua oz cirmluo.d.conllar iguur q: bac.1 L'J'.c.U lincl minol cti ora~ncrc~ .d. fir r6tu~ill in lon:)imdinc.Otii "cro ,pi p0!1:10paHa~om.o.odpcnt\1gonu.d.cfu:ut\lUildrariliucc.b.c.adquadrJtum lil H na.c.f.m\lq;cniCc.tf~r.rc.ts.fcyrl:fimr hncc.b.c.od !inc,i.c.f.onplicar11 pm (C o Jagonl Olit.a.ad pcmagomi .d.C fiCUI qdrori.b.c.ad quadrJUi lincu.f.OtlniCfri o.od quJdratfi rxatnctli.d.c;c p:imo. 12.cnr C}".1 1.qut11ti quadrururn lincc.c.b.ad quadrarii IUtCi:.c.f.ftcutqnmdraui oialllctri.a.od quadralli oillnctn.d. aiq;qua , ~· . _ 1 dmta oua;: ohlmCJt{'JZ.11.'2' .d.Cmt c5iCJ111iJ:ql ambo flir rOnalut q: rporbcfi cnit qtlt'q) c;tplimJ ~~rc.ta.occirtl{ q:tadrara oua;; huC\l~'.b.C.'i".c.f. c6iclntta :ergo til nca.b.c.c6im i porCriacii linca.c.f.-:qJ linca.c.f. C.mino:: fcqui(c;c.loo.occimi: '.l'<ti.i.b.c.flt linc:l minoJqOC ,ppofitii.fiucrrgooillmdcrahmiu:> ClTCll\i firro/ tionalm inlongitudinc fiuc i potCtill 11ii nccciTcC vriJmg pcttr:t;joni cqntlJtcli fi1 btiltfcripri fir lincomino:. 1fblopolirto .1 ;. ]'mmidi:i.}tuOl barui tri:iguigriii 1nihtrcnu; nl>gnig:m1 f\1 fpcrn drcUhipribiiC fJb:icarc b9 crgtJ fplTC oi:Jruct rroGoad Ia[') ipft9piramidtn fcyQafrcr .1 ,ppo:rionC potcn ri{lliter babcrc ,vbaf .C:6u huca.a.b.o!omcrcrallignolc (perc que oiuid3mrin pnncto.c.ira q,.a.c.fir oup!m tad.b.c.-; hnccf fnpcr c,lm fcmltir, culuo .o.d.b." plodOOJtur linc~J.c.d.ottbogonohtcr fnP. Itttc.i.'l.b." ,pdurof hnca |