Elementa geometriae

Page 13

lincli .o.c.it1 piicro .t . .z,prrobomlincl1;.c.c.'lt1tliil trionguluocb.c.dt cqnali6 tri~llSUIO \l.b.C.Q.)7·'l triansulus .d.b.c. pofituo C cqualio lrillngulo \l.IJ.c.cnr trlangnluo.d.b.c.cqu.alio trbngulo c.b.c .par>J tO! i quod dl impolfi1Jdc.110 ig1{ pcrrr11nf•bit lin ell que 'l puilcro a oudtur ClJIIC oirtanrcr . ~,c.fnpla.d.t r>~nfcat.cr go Infra. 'l fit.a.f. fccon tJ iincam d.b.in puncto.f.p:Citrobi:uncrgq.~incllm.f.c." quia pcr.}7.tliongulns.f.IJ.c. cllcqu:dh.Jtriongu!o.ll.b.c. lpfc"-am clit cqua; ha tm111SIIIO.d.b.c.paro tori quod dl impofftbdc . .Quill Cl1)0 Uncoil PIIIICIO 11. cqukhlhmtcr .b.c. non rranfit nift per punctum .d. p:ltct p1opofitum. «< .fJ. bac ontmt 'l p:anitlllnoro w f1o!iquolinco mta Duo alicuius tlianguh larcro. P. cqmt f(cct vr fccncrlt ipfo mr frio cquidillomilJnod flc p1obatnr.6it rliongulno a.b.uulus Duo l:ltcra que funt\l.b.oz .b.c.fccct hncam.d.c.pcrcquah\l.\l.b,qti i puncto.d. 'l.b.c.in puncto.c.Qico ~ linca.d.c.Cn cquidithns .o.c. coaiurcrou connncri. d.c.f .cqnalcsconrlituti fupcr ouao eadem pane oico coo dfc inter oulo hnCils cquidillanrro. oz l>cc ell conucti'o. 3S. "- p1obaturpa ipfam ficut pKc<d(ll per .p.a puncto.~.onc\lturlinell cquidiftat/IJ lincc.b.f.r,uc fi tmnficrit per pull/ ctum.d.~atct PlopofltUIII.rin aurau pcn. .m ficrit fup1a v-r.a.g. 'l p1oducarur.c. d. \i'q~ 11d _ipfumquc fit .c.g.z tmcamrlinca.g.f.critq) per. ~S .rriangu lut'l.~.b.c. i - ------''--L ___ __, ~~,~~~~~·~::~~~;~;~~~~~~c~~~~~:~~~f~,;;~~~~~~c~';:r~~at•.~,fr~~~5ie~~·r, 'W',e c u_am~.d.e.inpuncro.b.ozour~turlinCil.f.b.frirq)pcr .3s.rriansuhm.b.c.f.ciJI ho tnansuto.IJ.b.c.quorc -z mangulo.d.c.f: paro totiqnod ell iJIIpofliiJilc. qm\l ergo nonrranf1bit nifi pcrpull<lllm.d.parcr ,ppofitum. Y Qal~llosr~mti ni.gngnl!tfq) in eadem b-afi o;~rq~ i c1fdcm / ::~1~'df~~:~~i~~mr ?finnr'3 J?Jidlugr-an~ii ttt{isulo nu fi6it P.Oidlosrnn~'' .~.b. c.d.-: rrl:igul" .c.b.d. fu~~ b11fun b.d. 'l.int 'b[ SIu Zco:lda:fi] ' . hn~a.ua.c.oz.IJ.d.qlimcqucdillamco:Dimr.atcll~ronii oupliidTc c ~~~llgulo,ptrab? 'n r.ol~tosrano?ian_•crmrn.~.d.critq;r~a•1gulua.a.b.d.Dil!li / dmP,(li~IIO.Sranny.coln: ·~4·_"~~~~~rnonguluoc.b.d.crtcqlio rriaugu!o.a .b.d. Q • ~7 ·.P' !nansu~u .c .~ .d.cc oumd1~ P.~kUosmmi.a.b.c.d. qti C ,-ppofitii .6iJnilit quoq, _po~ ~an <]) ~11!\l l~ltogro. mu tn\lngulufq; in cquo.hb9 boflb9arq; intqlil IICQO c.q ~lllUICIJ_fu_cnr :Jrll!lllll ~(d(ogram~1 oup!ii crit tliagulo: qti i6n0 pofuir cu~~dro. qt lc1~1r P>CJ. bac pcedctc coudariu . ..- .~s.oluifo ~lcllognuno p oiamc b u, 11 tmm ouooma n sutoo.vdfnP.bllfim ~ld1 ognuniini Cllfdi linca~J cC)oifl11mt» ' ' Dim!dil1 1 • • a puncro.b.ouco.b.(. cquidi!lanran c.d.tri~<U per· J 9.trlaugulthJ,b.c.d.cqua'ia ltillngulo.b.c.c.qu:are rrianguhro .b. c d.cn ouuidni roralis tliangnli.b.c.d.igif fupt:r puncrU.c.lmu.d.c .ccnlliwo 1111 1 sulum.d.c.g._c9uala~ lliiSUIG.IIA _Pcrfirio paruld~ogf,UIIIi .g. (.d. f. quod ctij ql per pKccdancc ouplu11d rnangutu.b.c.d.cril crla cqualc rnaugulo.b.c. d.n b3c cOon fcicndo.m:quop oimidla fum cqualia ipfa quoq; fmu cqnaliJ , ell mi iri:m guluo:.b.c.d.vtliufq) olmidni quuc ocfcrtpfinllll' natdlogro;~mii. g.c .d. f. cquak triangulo.b. c.d.cuiua vrcrq; ou~;z angulo;z.g.c.d. f.d.f.g.cOrufc pofiromm eft cijlis WII)UIO.\l.quod fuit p:opofatum. 1tl>>opofitio ·••· ronil:' porl1lcllog:roan.ri lp:mj eomm qoetiml twamcrrU funt i?Jidlog:roamo¥ lupplcmcnroa i:QOillibi lnuicC dlCnc cctfccfl. , fi5it p:uulcUogurm1.a.b.c.d.in quo ptotrab:am b!Jmctrum.b.c .. . oz ~:otrlllnm.c.f.cquldLfhmrC \"fCTq) ouo;z llnc;z.11.b.oz-.c.d.quc fcl CCC oramctrumm_puncto.lt.a quo ouci.lt.g.cqui<Manrcft '!liq; ouo;z latmi.a. c.oz.b.d.t: ptoducu em~ quoufq:; fcca vmiq:; lar".o.b t:.c.d.fitq} !Otll.g.k.b .ait 'U rorum 1231cUognJ~nu · ~ .b.c.d .Olui!~m in quaruo1 P.ll!dl~ramll quo;z Dno f'3 .c c.k.b.1.g .lt.b.f. oacunr confallcrc mca.c.b.q_~ oiamctnun lranfitpcrmcdium connntt i&ofuntcirca oialtlctrum :r11"'iqua ooofcihccr .1l.q;.k.1.k.b.f.d.oi/ nif fnpptcmira bee ouo fupplcn~c~_u~ oirunf cCcquali~.rum cni ouo trilmgn\Lo. b.c. t:.c.d.b.cqualm l~ co::c\. J4-fllr quoca ouo trillnBulLg.k.b." .f. k.b.ftit cqu\11 fcs per idCc_ot:cl'. J4.llt o~o ari:~ ng~<.l! .c.c .k .t:.k.b.d! l'r O.JUlks P. ide co:tdniu; ocmpuo igtrur <~nobuo rmmguho.b.g.k. t:. k.c.c.oc lot ali rrtisni::l. o.b .c.~c ouo' btJ<J triangulio rdiqniu. b.f.k.1.1t.c.b.oc totali triJnsulo rdiquo.c.d.IJ • .:run! per c6cm frio.m t(fidua:quc fu nt ouo oiCIIl fuppl<'!nCtil C..JUilhl:quod crt p1opofirum. 1t::>1opofino ·••· (qnidi!lamiii larqz it\11}1 hnca.a.b.fit Vnii eyl:ataibuscioocuhta \'tcrq; ouonun cmsu.tooum comra fc porltomm fit cqualia angulo.c:..- ipfa totalio fu ~fieiro fir ,q "" tmiiiSIIIO .d.c.f.o1tfcrt ourem bccll.4r.q1 bic oar larua VIIi no fUP.fLcid odcril bo1dc fc; linca.3.b. !bi aurannuUum.cU Cfi!O ~olucro faccrcadiunsO liJicam.o.!J L~i ' ' . fVI IT---j-' ' .