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Show • tI >--- ,I D'- I LillER linro.b.c. r.utonalls m ton ~irudcnccui ~tdiunsarur fup~r,om . b.d .. cquahol qu11 dnuo tin~c . a.q, bocmodo fict :fubumgatur _tllLilbml lmc~. b.c . .z.a:lmro.c. d.i ,5 Unu:a ptopomonahHuc:ut ooar .• o.fc,rtt:cnrq) fupcrfiCic"' c;c.b .C. IIl -~.d . cqmdtil quadraro lmcc.a.pcr . t6.cfnfck: :oicolat m~ ctu~J ~ quoddl.d.c.dlc ron~lc 1t1 ~~ roui;a nil 'l tncOmcnfuf>lbLk 111 lOIJBttudutc lat~l"\.b . c . .Eruq; CJptcnntl a ,~ oolv nitionilhtumcd•alio utlmca.a.potfil in aliquC fupcrfieiC ronrcumm a Onllbua tincte: potcntio riii r6nahbu~l cOrnuniu.nribua que fit fupcrfKtro.q~.cuius b rcra c. f. 'l. f.~.crunrq~ ouc f upcrfieictJ.b.d. 'l.qj;.pcr p1imam parren1.1 J.fCJ.ld arcnun mutnommploptcr boc ll' tpft fum cqu;alC>J_'1 Whllll)tllc: ,.ppomo crg~:b.c.ad .c._ f.dt fimt.f.g.ad.c.d.qmnc ~~- • o. cH. b. c.cCncct i potcnt1a ni .c.f.co ')' l}~~t;t Vtn ufQ} c11m} rum n)nalhl c~ worbcft.f.g.c6icabitin pocmr~a cmn:c.d. cu1g1r q_mv dratum.f.g. fu r6nalc per fPO!bcfnn :crit quoq} quadratn.c .d.ronalc per o•f!lni, tioncm :at q1 fupcrficica.b.d.d1 irr6nali~> fiCUI fua Cljuolio.c.IJi .. ~u:r p:ct m~a.fcJ quitur 'rqnmdrarumlincc.c.d.nO c6iccteti (upcrftne. b.d. 'l qma quadrotu hncc c.d .!ldfupcrficicm.b.d.cllpcrprlmam fe,:ti:flcul.c.d.;d, c.b. clitp~ fwmdam parton. lo>~Jt.c.d . non c6municct cum.b.c.quarc cum.b.c.f1t r6ne~h o 1.11 lonsitudl • potcnlia riii m t ionalit~ : p atd cr pcr p:cmillarn I mea .d.f. r6mtlio in pC'tcm111 uU 'l incOincnfunlbilis hncc.c.d.cr quia per p1imarn fc~i. q;. ad . d.ficur.f.s. ad.d.f.c6kllt 11utcm. c.g.mrn. c.f.co q_~ quadrarum.b .communicat cumquadnno. ;.pcrwotbcfim: quibuo quadrat Ito tlicrc fupcrftcfcs pofitc f unr cqnatcs :f~&lUttur per p1ima; partcm. to.ut ftuca.f. !5.c6muniut (umlmC\l.d.f. quau .f.g.cll r6n11ho i porcnt\a t1ii ficut dl .d.f. 'l 111 1 cOmcnfurabllis fn longfrudinclina.c.f.cii hnca.d.f.fLbl c6municauu fit incOmCt fnrabllia cidan.c.f.co '}1 fuccquali:boccnfm ptobutuln l'fim.s .qti fi fucrint ouc qmuHihltCS ciiironteo cuicliq; vna {aru; non c01cat nee rdiqua: troq; pCT.19.crit fupcrficicu .c.s.mcdialiu 'i: duo latUS ltlr\lo30IIIOIIII llUod cfi . b . mcdit,~[C quod ell pt()pofttii ,([£ufr quoq; omnro fupcrfidce ciiicllno fupcrfiC'iclmcdi.ali mcdi11lfa cO: conuincirur .5\t cni f upcrfteiro.o.mcdlaho cui ponatur fupcrfiC\cs .b.dl( cOicans tlico fupcrfldt~n . b.dTc mcdialcm quod ftc conflabit Jtt llnca.c.d. rOna lis in longi tud\ne: ;dmnsaturq; ci fnpcrflcica.c.c.quc fit cqualia fupcrfiidd.a.qti boc 11101 do ficr. 3nucni; wr linca.c.f.11d quj fiC fc bllbcar vnum CJiatmbna fupcrfidcLa. ficut linca .r.d.fe babcr ad rdiquum.bccauraulinca qualitcrrcpcriarur in. to.fct ~ ~ ofnum cll. f ritq; CJ.lf .dnfdem fuperfici co.d.f.cqualiu.a.\tCq; codan modo 11d lincam.c.f.adu'tgamr fupcrfictcs.c.s.quc fi1 equ>~lio. b. cnr ilaq; per .lo.linca c.f.potentia uii rOnalhl:crit quoq; linct:.c.d.inlongimdlllc mc6mmfurabllill, f t quut.!M·.b.crllllt c6icamro q: fPOt lxfl:crunt quoq;.c.c.oz.c.g.c!o cqnatco cOte an lro:iraq; per Plillllllll porcou fCJ{I 'l per plima; pancm.to.buiuo crunr ouc lma c.f.t. f.s.cOieaurm inlonsitudinc.C:ftl lntrur lmca.f. g. r6nalis in porcnml t1ii " tlncc.d. 1 alhJ:cumlinca.c.f.ftt lw. c . s .~r X media[to .~ OfcowfuQfklce: I ihnc11.c.d.r6nali1Ji!ont rRcice:.d.c .cqullllu fu~ICici.a.'<fupttlictJ w.d.f.cqnwla1J tot lilt fupcrfictd.a.b. boc aiitqualitcr ftat 111 p1cmill'a oocuun"':q1 aso.d. f. ell cqualt1J.a .b. 'l.d .c .cqualio.a.crit ~ c6ccprionC .g.f.cqualw.b. St ita/ cp fnQ(ictcu.b.n6dl irr6n111is fed rOnalia:cm 'l.f.g.fua equal is rOnaliiJ. :t11 cum linro.c.!5.fit rOnolitltn lonslrudinc ftCut fua cquahtJ.c.d.cnr pcr •• .s.lmca. c.f. nv ~~~~~-~~f:~!~;:~1t1~~~c,~c:1t:~~~~~~~·,';~~~~l;,~~~~~~~~;~~~~:~i~.:i~~~:::~~~~~ q,.c.f.linc-.t cfl lnc6mcnfurabllio lincc.c.c.iniC!IISi!Udinc • .Er quia per p1i111\l fc.nt quadnttnntlincc.c.f.ad fupcrfiCicm que fit CJ.d.m.c.c.C ficut .c.f.od. c.c.fcqutf per fiDam partcm. •o-ut quadran! lincc.c.f. fit incOmcnfurabllc fur.ficid factc cy: e.f.in.c.c. quare 'i: ipfti quadratii crir tncOmcnfurabllc: ouplo fupficid q:.c.f.i.c.c quadratti \'cro.c.c.cum fit r6nalcc1l c6tron" quadrato c.f.totum tsiturc,: a1nbo buocompofitti cril Ptt-9- cOicantJ quadrato c.f.'l ideo inc6111cnfuratnlc ouplo fuJ pcrlll<tdc-;.c.l.l"·'·'·" "'""""''"'"' '""''""' lincc.c.f.C.cqua!couob'~ qua Cl~phifupcrfwd |