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Show . r . , . ~19, ~ . , .. . . ·Appa11a:ta~ ~ . a~ mltlUS l>~!fptcuu,llJ, & llJU.l~a elfent f~~~s. r~petend~ ,,& fuper.:u~.eanezi ·d~rnonfhat~o p~rr~ quo breuH~r, 4-C .firpphcwr,~o mel <;>r. ·Efb aMternom;. ms demonfiratJO aut oftenfiua,, attt ad tmpoffibt~e. Otlenfiua p.Hendit,pcr cau{am materiaiem, aut formal~QJ, ~uta figno. : ~;.r ad impo(fibiielelt) vel deducic conrra principia, vel cqntra demonlhara, vel contra hypote• fim, (eu fuppoficioocm. S~x~:J.J?r~t:n~r~pugnatpJ:!incip5o iJii to tum eft ma~ ius fua parte. vij. ell cpQt~a ,Y/x~v e~~Concr~,.{l1pothdim.~nto. Taodem vlt!ma pars huius difcur(us di cqnc~ufio .~fll}ct cd~ jpf~·propoficio iam. 'de; monftraca, cui in ProbJc:mate ruhditqr., 9u9.d er~tf.tci~n,dum; in Th¢orei mate vcro, quod erat dcmo·n~randum~ fci_c:ndu~ nr~~ere.'\ Letnma elfe.J quandam demonftrationern ~n .gtatJam alcc:ritis dc,monthationis.ne ipfi!:.· demonttratio prolt~ior euadat. Vide Clauium duobus cap it. vlti&ni$.pro-. !_sgqm :ip.Eucl.4fem, , , 1 , • • . .J .. . ' . .. 4 l ~ .. 'fl~ ~~ lla~ijs, '?el P~r~lagifn:is~ ::_~lPfe~~1'1fhg,s.t .~ ;: '' . . .• ••.. · <r;l· nor, • • 1 • \ \ • • ..; • Q Voi1~arn Para!<!gifmus, feu Pfeudogr~phia, cfcfaUa~demonfctatiofi fequ1tur vr nunc de ea brcuit.er trademus,hoc tft de fallacijs,fcu er• racJs ~ qu~ adu~t·~os refi~m demonfcrandi vfum c mrn itcj [I lent, quarum . Pnma fit, ti q\ud ab Authoritate probetur; h~c efim\' ratio,nec conuin~ c!r,_~ec Geomc:tdca eft, ideft, non procedit ex proprijs Ge(., rnctri~ prin~ cW:tJ~/,r" ~ ~mpnfcrat~s. . . · ~ . , · · . . · ~ t, ~ c· ... r ; · .. . · - · Secunda efcJ. cq~ quis ra,r.ion~,feu o~~.erien~j~ . r. fpnfus v~itur, v~ fi_.qui.s prpt?ar.et in pt:.efi nti trian~ : guio Iineam DE. quz ef~. ba.('i B ~ ~ patalld.a :,elfu! eadem bali minore'n11, /t.~;~:,Q q1:1qd ipfis .oc~lisid' percipia~ur; dfec .faiJ~~ia; guia Ge.Qmetrja tra:ciat · de ma~eria intellig ibili,Lon feAfibili,nc:~~(cnibs pQ-11 · , t.e~t f~rnper PC.J;fipe n;··iQa;quaJitatcm·; pore!t enim:~ ~: . , Jmea D E. ,e:ffc ade~ pr..oxima bali B €. •Vt ·oculus l . ~H·. . veiJyncc:us n~lla~ ce.z::nac qiiferentiam; (em per. ta' ""··· _. · men Geometrice ofrencleturmino(• ad han,falla•, , • . • ciam redu~i cur fl!eofuratio. Yt fi quis-~ut Circino,. ~nt ll~o mfcrum¢nto, vtr~nque ex dichs lincis mctirecutt , imdeque pro::. .. ~ret til am~ c lfc: mino(efil. . .. . , .. ,. . . . ' • •4 ·, • ~ •• Terti;l <il.ec:eptiodn qua Tytonu.fereornnesi~ . tldunt, e(! v.ti ci~cuio fe-Q(]bib·.td.ofttndendam...:.·' z9ualit~tem lii1~<Jl'n.m,, v.-g. io·pr~fcntilfo!cel~ · A B C. dudra P·ll. p~ratella b:afi .l3 G. proba::~dllll· fit duas Iioea$ A D. A. E., abfcindi zqu-a ~ts,&· a¢·· id. conftruac quJs cir culvrn ex A,inreruallo A~·. ' ~~ccjrgtlU$ ua1 lib it ctiam pu E. adfcnfum cut~· , , I ' ~ """ · ~ · · enter~ ita Attarhe!ilari as# 'Cio·- dcnrer·. (j igirar·dlfct1rr"'at fic,lincz A o:A ~· funt d~a~ a centro ~,a.d cir.; C\lnferentiam D E. eq~t> fimt requales: er1t fall~cta fenfus , quaa_ mdCJ ,:probar,quia oculo·id c~tnit.certu~ ~utdem dt lmeam A D. pertmere ci centro ad cireunfercnttam, fed auxtlt~ fcnf~s non eft certum JJPJeam ~ JE. ·-pr~Cife tertitloariin ipfa circunferenua, quta non efc..dutta ~oft de~cnp:u. ·ci~ulum1aec fupponitur circulum cranfire pe~ E. & quanuts ~uclrdcs lll ·prima,al ·aJijs~ ·vtatur circulo ad ofcendendas hnc~s zquales, 1d bene faa~ b~t,'quia in P·rima line~ ducuntur faltem vna p~ft_ factum cuculum , qua •per 'extrtmum alterius linea! tranfit e~ ~ypo.tkefl. tn Sec~oda_vcro propofi -tion0 duais i~m Jineis circulus defcnbtcur ultcruallo mmons_fecao~ rna~ ior~tn_, qllare pars maiot.Sis intra ~ircuiU?J inter~eptr. neceffano ducltUr a tenttO:..ad circunfercnciam, & Gc tlke·du~ prob~ntur irqual~s. . . .: , ~ar.co:,. fa..llaciter demonfc.ramus~,-quando m conftr~a:t.one affum~rur aHq~ud~ cui us' conftruB:io ignor~·tur, yr: ~ ·i~ ~~a~randum ~utulum dt~a: qui!\. (uma urI inca re cb z qua_Its p~r~fcna: CJrcuJ!,;, hoc e~1~ geom\!~nc: nondum inuencum efr; & li n1ed11mce, vel organtce ·fi~t nttJt~r fen~t , fi .. mil iter peccant ornnes d e monltrati~nes ~n qtJtbu_s. vfu.I fm~t hncz_pu6tua~. tes, vt'eft Jibea CochordisNicon-wch~ apud-Ciautum m GeornetrJ~ prac_f': Jj,g. p.~J ~ r& line-a ~:td tatix apud C:Jau·i.um adfine_m 6. EucJid.humfmo~1 enim Iinez·hon funrquid,continuum; e~m ~x p~n~ts confcenc, &.propterea nequeunt parcc:5 ipfi'rul!l p_rxci fe h?. be:J, cu?".lnfe~tu~· fit vbmam lior: punaa lineam confucuentJa. In ~adratt~~ .~r~te~ea .vlttmum punCtum h3beri nequit. Ni~Gmc~es paralogtza~ d~~ens lmeam quand~m quz ter:· minatur adConchtlent punctulltm,qtna tncertum. eft~n ad vnum ~x putt • cStis illis definac, fee us terminni ab ca nequit. · · · · . ·. · Q!tinta, efc cum vcimur commun i bu~ · princi~iN. ·a!iartim : rdcrttiaruri!:~· fie Bryfo tn quadr;J,ndo cireu fo~teb~tu_r., hoe prtn~JpJo-, qu.:e.c~nq~~ f~nr: fimul maiora & minora jjfdem, func t n u t CCrl) .~_qualta, quo com~~n ~ll; magnitud'jnibus,nume.ris~cempori~us)& qu a lita.t i ~us & ~cleo a? A~t.tlottl: reprdtenditur text.- prtmt poft~r. v~~c nof~ ra~_llhus I oct exphcatto~~ .• Hincetiam 'non iicet iGco.me-trtl vtt 1llo ~nnc1p1o qu~ func eadem vru ~er~ rio fudt- ea~em inter fe- ~ ·quia cfh:otnmune aHj~_ fcieotjjs, fed _pro co vrtd.c~ b.etiloc;quz1fuartt~qualia:v.bi.tcrtio.,&c. ',. ,. ~ 'r . ~· · ~ '-~ Sexta)Rationcs prohabtlcs apud Ge o m e.~r;a s h-betur ~r? parat~g~~~ts, vtfttqoislproba.:ret li1periore l i nea~ D E,qure efi bali ~qutd~IH~s>c:~e·,L?tno.rem bafi.·U C; (X eo quod fit in angufiiori loco, quam fit ~~fi's;.d~crpetctu1!' qtii.a ibi poni poteH linea maior ~a.fi,quz tam;o n?n ~c et zqutdtll~ns • .... 6.~ptimra,;Didtur principij peqc!o,dlq;,qu a_d'o.m. d Jfcurf~ affumtc ~p ro veroid;.quo.d eft demonftrandu m.J.quod in pn_nc1p1o P?~tum e~ . . An ct .• :a.: Ptior~m;~!-2. r .. ffcrt hocie..-x:cro plum; vult qu1fp1a ofie11dere duas m fe u. fi~ oura1Ji'neh.s J\ B., C J) .. cf{e apt1l el~s : 'quorl!acia ~ a~guf~s .ai_ccrnos. A ~ ~·; GHD.~qualc:s,nam hoc pofito per v J gefim .~ fcpt!ma pnmJ!.J~ re9urc~r: vo.-. ~ens poftea p·rqbar~C' talc:s ·an:g..ros etle ;.rqua'le~;-Id pro bat, fl'f totyuoo fttn~ ·, ., : ·. F F f 1. par~l: ... |
