RENATI DES CARTES SP'ECIMINA PHI LOS 0 PHI.LE: S E V DISSERTATIO D E MET HOD O· ReCl:e regend~ rationis) & veritatis in (cientiis invefiigand~ : D lOP T RIC E, :E T E TEO R A. ~1 ExGaUicotrllnjlata,&abAuc1or~ perlcaa,variifJ.Nc inloeM ernendata• .AMS'TE.LODAMI. Apud Ludovicum Elzevirium, Anno c I:> 1:>C L. CumPrivitegiu•. p R I v I L E G E. L Ou'is"parlagracedeDieu.Roydefrance&deNavlSrre,anOJaime%.J&feauxContrJItJ~tnJ tenanJfaOJcoursatParlement, Baillifs, Senefchaux,PrevoftstLuges"ouleurJLieutenanl, & autreJnOJjugeJ&-officiersque[conqHeJ,,-.AchafCu,;d)eHx,a;njiquOitappartiendra,fal_t• L'inventiondesSciences& des..Arts4&ccompagne%.Jdeleursdemonftrations" & desmoyensde/e,s metreaexecution,e..(lantuneproduc1iondesEJPr;tJqll;fontplU4excellensqueIecommun, a/alt !JIlt lesPrinces&InEfta!sellonttowjo14rsreceuIe; invcnteurJavec toutesfortesdegratIfica tions; aftnquecnthornintrodtlite.seJliellxdeleurobeiJ!ance.. illende'i);emzwtpltujlarijJanJ• v1injinoflrebienaime DesCartesnowafaitremon/trerqt;.,'itaparfme /rmgtutft~de rencolltre&-demonflriplufieufSchofts utiles & belles, al-~para'Vant i,uognuesdansleI ScitllCtl S /;umaifl~s t & concernantdiverSartS'aveclesmoyensdetesmettreellexecution.,TouteJleftJHeU,t (1)0je.sit,Jfrtdeuaillera:-Ipubliq,en114]accordalltqu'ilpuiffifaireimprimcrde!traitt%..ql./tlerJ 4,compare%..&compofirac)'apres,/Oitdetheorj~, foildepratiqu~ ,{eparement&conjoilltementetJ tcllepartqutbonlu')'fembleradedansoudehorsnoflrcRoyaume,& p.1rtcUesper[onnesqu'ilvoH#. dmreandtenOnfJHL[eutttreetssa&cea1uletcrcejs]:l,.iraevse.cvl1escedsefceanucfel,ssadc(cjuiruaf'llutmgreaetsifeinerca'-esdpiatrDeeils.CNa.'rHfUefr.e&qu{cariarleztc()ghl1()uiJl.~r'nb/I# ,uec'dfaft,qquelep!1b!iqaL'obl,!4tiolldefiJ,inventionJ" nous~VOJlJ parcespr~flmtuaccard!, permis:71fJull)n.f,& nowp!aifl)qucIeditDesCartesfuijJej"z,ire&-faceimprimertouteiLest1JUVreJ al qu);lacompOreeJ&qu'ilcompoferatouchantLesfelwces!Jumaznes,entelnombredetrait~z.. &- 'Vo[.umesqueeejOit,Itparement& cOlljointement,e;ztellepartqt-eebonlHyfimulaadedansv"!J-dehors noftreouttffimce)parrellesper[omuaJqu)ilvoudrachoiJirdeno]{ujetJ0$1.autru. Etquependdnt/I termededix aunee.rconjecutivtJ contcrpourcha{cunvolumeOll trait!du jourqu'ilfer~ p~~ rachtved'imprimer"mefmnallparavantceterme ClYlJmanCe,aUtun1UPUt}ftimprimeroll!,.,re imprimer,entoUI,1J]enparrie,[owqueLquepretexteoudfgu,ftmentquecepuiffetflU a",,,,ntdel reuvrudllditDesCarrlS,9ueceuxdenos[ujetsou4utresauhuelsittllaurad()nt,eLatptrrni(fi01l1 flyper[outlten1Jmdre&debiterd'autreimpreJ/ionquedecellt{ftiiauraeft!faiteparfaptfmi.ffi~lI: Rpeinede Millelivresdamande,conft[quationdetowfaexemplaira,d1J;elJ,f~ d~mma$1.J &,n ttreft.t,applicablumoiliiau:-cpauflru& mo;tiiauprofitdu ditDC!Cartes. Sivowmando,~ &achar:u.~ de V:JUdenjo;~nonJ parceJ~1'tflntes, que.dutontenHen ict,lll'sVD~f.liteJ~ lajffi~ t7 flulJrc'LJf)ulr &-u{erplamement&paifiblementledttDetCartest fa,,{antcfjJerto,"trQub!' $ t~peFhemans contrai~:s. ~t~' autant,ue~e ~~s prt.re'J~~~ o~ pourro~t a-r:0ir affairt.ellpl!,~~~ luux;NowvoulQnsqnaUVtdtmU4&Extra'td'tcelJeJdelltmtntco"atJonn~ parunde1101111111 l;# ,[f(idr.UXDOClOill1l{leailleTra1r&uSiectret~I1,irItJIIloufarydefMlitaaydmioiulffilx'CcfeJnmsm'rte4nU'epfrlef/te.nttorri4g1innaolf.lrcCArergtntelieeftvn~,flnre.~gr;a,.tll/" ParIeRoyenfonconfeiI. Ceberet Etfeenedugrandreaude,irejaUne(IJ' Gmplequeue. INDEX: MA-TERIARVM CONTENTARVM in Di!fertatione de Methodo re6te utendi ratione, & veritarem illfcientiis il1vefiigalldi. V 1. .Ari£ ,;rC4 ftien:ilU &onJiderllti~_ adeosvidendum:nequeutinobje~i; .a nes. 1 liquidfitnoftru/enJibusfimite. Ibld: 2. Pr£cipu&illi,,"Methot/i,fJ""fIJin'Ueft;- 6. Nosinterdit-tvidereope radiorumqeu. gavit Autor,regul". 9 lIb objeClis in DeuIos n.oftros veniunt: 3. ~£d4m Moraluftienti£regu!£,exhac ContrafeIes noauvidereoperadioru1n, ~1.ethodo depromptlL. 19 quiabipforum()culuin(Jvjec14tcndunt. 4. RationesquibusexfiflentiaDei& ani ma.humlil1J& probatur. quI,Itf,ntMeta 7·§2.!-I£?zltm fit17'J1lteriaqu£radios7t0ra,7n{1- phyjic£!undn,menta. 27 mittit: & quomoi'lodt"vl!rforumob;'ec1o 5· 5l.!.J£ftionumPhyjict:rumabAutorein rum radiififl'jf~l in oculum ingredipof 't1efligatarum orda; acinJPt/cie mottM cordu, & qua.rttndtJrn alia1'umad NIe feiJnltn:dc4/f}.JttaaderduivelorcfounsJocft/ilnoesttpnedremnitxe/siopneer - d~cin{lr;j JP~c1:i~tiftm perplexarJtrn opi tranJire; altt ita, utaliinan/intaliil ntonurn,enoda.tzo: tZO?J,qu£/itinterno impedimenta:neeabacruJ1tliditllteim ftram ~ brutoruirJanimamdifferentia. pedlllntur; neeaventorttmagitatione; 35t 36 neeavi!r; autaliorum ejufmodipelltt G. §}..uidrequiriputetAutor, adIslteriU1 cidorumcarporum duritie: & qr~i fieri progrediendum in Natura.per{crutatio poJfit ,tltnihilominmjintrecti. 71 ne ) quamhaaenu.5!aflurnfit.; e.qua. g. §Z.uidproaprieJintifliradii:&qUOfi1(J t't&tiones iJ)fi!m ad ftribendt1-w ~rfJpule- flo infiniti jingulu illuminati lorporu tint. 5I punttu!xeant. 77. 9. ~id fit corpfM nigrum,quidRlbum.l I N D E X tetl1,quid{itffieculum;& quomodoffie Materi~rum contentarum cula,tamplana,q.J:'4meonveX4,radios inDioptrica. refleaant..In qZ40·,onjift~t n4tura'fl1e dioru,1rJcolorum. 75 CAr>VT I- 1o. ~ofnodo colorata corpor4radiosre- - flec1ant;& quidfit refraltio. ibid. DeLun1ine. \7 1. lJi.1-5pr;.fiantia;.~. ~ua;:tNln nt/per CAr v TIL t;;rventuperjiJlctl/,t-SadJuvetUy.67 De rcfractio'ne. 2. SU!ficere,rUlfflrtuJ')l:ulJinucOi1cipere,ad Q Q1'JJnes eitu prol;rietates intelligendum. 1• Vomodofiat reflexio. 76 68 2.NontffeneceffiutcorporlJlnottl, . 3. ~omodo radii ejtMin inflantiaSole aliquo momento h£reantinillu aqui lidnosper'Venillnt. 69 bus refleBHntur. 77 4· §tuomodo eju-s ope colores 'Uide4ntur; 3. Curanguleureftexionufits.qualuaiJgu- ~ qt'4.namfit naturacolarum ingene 10incidenti",. 78 ~~ 7° 4. ~4ntum f/1otfM pill, inftealitttr, cum s. Non op~ eJJefPeciebU4 intentiontllibu~ linteumtrll*jicit. 79 z 5. E; I N D E X 5. EtqlltJiituin, CUll;inaqutlmingredi- 1. lpfalljnervorumopefentire. 90 tt~r. 80 3. Interioremifiorumnervorur;,fubftan (j.Currefrt:ll1iotantofitIluljorqU41Jtoin tiam ex multu tenuifflmu cidentiaeftob.li.quior: & nu0'4,celmin tuconftare. . Ibid•. 6: cit/entiaejlperpendicularis, Etcur ali 4. EofdemeffintrvosJquifenJibm ~u, quando bombardarum pil£ verfeu 11 motibusinferviunt. lbld. qutl.mdlJPlo[&ineamnonpojfintingredi, S. Spiri/at animales iniflorum ner'fJo' fed verfusaeremreftellantur. ~ I rum membranu contentosmembra rno' 7. 5il.!!antumradiirefranganturapellu 'Vere : fubftantiam illort-tm internfl1fJ ,iducorporibu1,inqttl.penetrant. 8z fenfibu-5inftrvire: & quomodoopencr" 8. §Luomodorefractionummagnitudinem 'Vorumfiatfenfeu, 91 metirioporteat. 83 ~. Ideas, qUM fenfu:4extern;inphan/II' 9.Radiosfacilius trltjicerevitrum,quam jt'al)'Jmittunt J noneJ{eimaginesobjearo.., . "quam,~ aqutlmquamaeren))& cur rum; autfaltem opusnon ef{e uteis idfiat. 84- milesfint. ibid.91- 10. Curradiorumaquttm/ubeunfiumre 7. DiverfosmotUJ tenuium uniuftuJtJI' [raRio £qtta!isfit"adiorumindeexeun quenervi &4pi!lamentorum fufficcre "d tiitrefrac1ioni.EtcuridnonfitulJiver diverfosftnfeu producendum. 9; [ateinomnibuspellttdicucorporibm. s5 I 1. Radiosal-iquandoincurvllripoJfe,nee CAP V T V. tamenexeodem pellucido corporeexire. ibid. I :. ~omodo j1atrefral1ioinjingulucur- De Ilnaginibus'qu~ formantur in fundo oculi. ' 'V4rumfitperficierumpun8u. ibid. C CA ttv TIll. I. Omparatio iflarum imaginllf1l De Oculo. cumiisqu£inobfturo (ubieHII M &onjjiciuntur. . 9; I.. Embrtlnllm) vulgo r~tinam di 2. ExplicatioiftarumimaginuminQ&II" Bam', nihil IIliud ef!e quam anim4lismortui. 95 nervumopticum. 86 3· Hujas oculiftguram paulolongiorefTI 2. ~ales fint refrllEJiones lib Dculi hu- eJfereddendam, cumobjeffllpropintjtJ/I rl10ribtU produc1". 87 funt, quatncumruntremota. ibid.96 3. In quem ufi~m pupilla &oarlietur & 4. Multosi~ hunc oculumradiosabU1J~. di14tetur. ibid. quoqueobJellipunctoingredi:omnes" 4· MotumiftumpupiO,g,voluntllriumeffie losquiabeodem punilo pYocedunt,' ,11 88 [undooculicongregarideberecirca,detfl s· Humorem eryftallinum effi -mufluli punltum;figuramque[uaminhtlnCft" infl:er, quitotitMoculifigurammutare nem ejJe coOocandam: di'Verforum rll~ poteft: & fi.lamenta proceifusciliares diorumpllnc1aibidemindiverjispllnilY clifttl) iUju!ef!etendines. ibid. (ongregaridebere. 96 5' ~M1o,~m(}do colores videantu.r~e' (hlll'i-t l)Ce SAenf1>ibuVsTin geIneVr.e. ItmamagItIn.lebsamqu,Iq,uibI,ief'Pno".rimnfaiunltludor,i"fftt'1tUmSl'lJ'Ot,/&lUu1i"d, A nemobjellorumreferre. . l,bIt~ I. Nimam[entire , non ~orpus; id- 6. !ffl.!.tomodo pupill& magnltudo if! . qlle qUllfeneu eft In cerebro8; rum imaginum per{eflieni iTJfer'lJI:~ nonfJt'/IIIli4 tnembrlJIInimlif. 7-§1.!.,IO- MET E 0 R o R V M. 3.~omDdo htchyperbolafune deferibi rubtiIip~/lJint agitari, oleum'Velaerem P~jJit ;'Uelmultorum punCioruminven componere. tlone. I 86 4. Hane materiam fubttl,~eOmO,tn~ejinen-., 201. 4· §<yomodoinveniatur ConUA, in quo ter moveri. Ipfam folere celerulSterre e4demhyperbola apillno/IX; p",,,llelo juxtfl.terram,quamprope nubes; ver ,(.e~coemtuodro. ope mllchin£uno duauIh8lt7e f£efull4.tleE,quqautaomremhy,emquea;mac'Vdeierfuq-usaFmolfJnSo-j hyperboladefcribiqueat. 1gI Efe. 201 6f.ig.uAr.llil4mmdAacthoinmllni,reqiUJ&q;UftiIU.&eaIIha.rpder~o'l£Vlertl 5§.2Iyp£!iImUineot;r"e,msfpuanrtt,icurJ!JaisnuesjJeviirni£uqmuahleas • poli-endllindiget:& quomodoill4fit u- bereadalillcorporAmovenda. ' 202. t.endum. 190 6. CraffiufculM pr£cip"einventr;in /0 'I. ~,.;d invitruconcavu; &quid in cuubimRximefuntagit4t£. lO~ mul .eon'VexufPecilltimobfer'Vantiumfit.I9S torumcorporUinmeatIMingredinonpof ~. O,doobfervandasadleiftortt,mvitro fe;ide0'1ue iftacorpor"tJJeRliu [rigi:" rumpolit"rllexercendum. Vitrtlconve diora. ibid. X4 quI. longioribu4 teleJcopiis in(erttJi 7. ~id fit calor; & qUid{rigUA. Nllt t 4c,ur4t;z,u c£teris effe polienda. modocorporaduracalefitent. Cur'"JuII 196 liquidaeJfe [oleae, 'Ie quomodofrigore 9· ~u$,n~m fit P7'£CipU4 perfPicillorum dure{cat. Cur glacies eandem femper puLzcarzurnutilitaf. 197 rerineatfrigiditatem&duritiem 1Oj.Ribe~;momino'td'JVoiitcriemffuioeppreiprfoptncoi/aJenirttuu,mur.tcdeunatrr4umdiree1jcu91[e8 8dp.iau~u£lglalatfciiminetsuftaeclfiteurJmaemtpiaoarlmtliieatsitn!u$.r,.";flqau&te!.e;t2i.na0em3e 1 N D E X· fPirituum ;.fiveaquarum ardentit~m. Cur"quararejiatdumcongelatur,lit. Materiarum contentarum in qu~ etiamdum;tualefeit. EtcurfertVe- ivleteoris. facttfcitius eO'lgeletur. 204- 9. Particulasdequib:uhieagimus non C A l' V T I. eJ{e indivijibiles : nee ill hoc tr4cttatu .1D'eQnatura. terreftriunl corporun1. quidqt~am negar;eorum,qu"in'Vll.lga VidAuc1o~ ~n hoctr,acrT1.,lltupropo- riphilafophi4trllduntur. '" ,205 2 . fitumfibthabuertt., 199 C ..\ l' V T I I. 3'.4"gumentumprimicapttu. ibid. 4.qullm)terrt:l1n,4'e'rem , & 'Ycl:1ua De,aporibus & exhalatipnibus. to,.hrO."'"quI.t~os circumIJ"annt ,ex.1)'ar'tU I.QvorlJodo tV; Solu eorporr-/.m teJlre ~4"t~c~lu cOlnponi. PoraseJJe it) omni- ftriump4rticul£no?znullo. fur- t,t,4.,f,.,ijlucorportbtU fubtiLiqllad~l1it m4 fumattollantur. "~pletos. I.J~rtiC"f,Ia1 ,!:Iqu<£.effe lon- :Z. ~id fit vapor; & qe~id exluda2t0ia6.. 1'''R114',Jfiteeretes&" lC1)cs. Aliorl~t,} corpa- ]JlurestVapotesquam exhillationesge gu,. .reomnrumparttcultU habere..~.£- nerar;. ~omodo crajJiores exhalatio ""1tJIU.'','nr.egulares ,_Ilnf1u!o'jiM 11f... rlllrJO- nesexcorporibu4 terreftrib:uegredian 'IIiielll~ntJ5iltlrjimuelxJu·pnaer'&J--./!a$>s.&,E~xt•i:i.jpftule[1x1\u.o7r0codirppoarrtJ- ;.turCfur aqus in v4porem verifbaid'.tJ'2a°ld7e ~7"4 tomponi. E4fde111J jinonfine im· rJlultumloci occupet. 207 r "" ) nee·,11m cra,JJn" '"ill"/nil, m'lterz.il 4. ~uornodo **iidem 'V"por.es magu aut minUl , D lOP T RIC JE. 7. ~omodo etiariJ eidem infer'Vitlt re- veluti plurima conJf;(;a~ttt' lUlnin~, [ractlo qtul,fitinoculo; & obflittJrt:tef- & inauribf,u,ut(oneatldta,nt1/.r;~tq~e pt, fimllJorforet~ut minorquamre- itaeadem'Vis diverfas fenjioncs Indl- S'P!4eft· 100 verjisorganisprodttcat. 110 · ~ ..omodo internarurn iftieu oculi 4. Curclat~jis paulo pofttonJPec1tl1~) Sc- ~4rttum nigl'edo,& cubiculiobfeuritM lemoculis,'TJllri9Sfolores''Viderevldet-I.. 'nquo ifl£imaginesconJPiciuntt~r , ei- mur. ibid. l dem etiam inferviat: cur nunquam 5. Cur4liquando di'Verji colores appa- tldeoperfet1£fintinfuisextremitatibus rellnt incorporibeu tan/urn pellllcidis, 4tquein media: & quomodo ~ntel1igi ficut iniridetemporeplttvio. I I [ debeat quod 'VlllgodieiturJ vdioneln 6. Se1Jf~m luminis majorem aut mino. fieriperaxem. . ibid. rem.ejJe,pro~t objea-umpropiu1autre- !). Amplitudinem puptll&J ~um c%res motleu eft; ztem prollt pupilla, atque 'tJividioresfAtit,fi~urM me.ntlSdis1in. i1lJ4g0qu£ in oculi[undo depingitur t If;ureddere;Aeproznd,medtocremtan· major autminor es1. ibid. e a tum c.D .dcbere. ?bje~4, ~U£ funt 7. ~uomodo c4pillamentorumnerviopti- lll.terelOtUSade14JIU diftanttamoculus ci multitudo 'Vifionem diflinllam red- en,. dijPojit"! a~ eoremotioraautp,-o- date J12 p,or4,mlneu'dts1tnlteineorepr,g,fentari, g. Cl~r prata diverjistoloribtM'U(lriega- quamfi£qualtpr~e diftantiaIlbeJfent. ta, emintt-sunieutantum colorisappa- l02 re4nt , &curomniacorpora1lJineudi- Io. Im~gines ifta-s eJfe invcr{tl1; figuraf- flin8e emineu quam cominus confPi- que.tatlr~m mutllr;aut contrah;, pro ciantur, Iltqueimaginismagnitudovi- t4tlonedifl4nti£ aut fitus objeltorum. fionem diftinitiorem reddat. I I 3 ibid.& J04 9. §l....uomodo Ifgno(cameu fitllm objeEfi II•11?J4gines ifttUperfeEiioresejJe inoeu- quod intuemur, aut ejm quod digito 10tlnim"lu'Vi'V'i,quam mortui; & if) nobiseminmmonflratur. ibid'. oculohominis, fJutlmbo'Vis. 104- 10. Curinvtrfioimaginisqu£(itino~ulo, !~. 111eu'lUlLapparentopelentis vitre£in non impeditlt , ne objec1a reall appa- cUbiiuloobfcuro,tbieodemmedo, IIt- reant: & cur id quoe! dllobm otulis ,ue inoculo ,fortnari:& injisexperi- ,onJPicitu~ , IUlt dU4busmanibmt4n- J'he'tltum Cllp; polfe multorum , qu£hie gitNr nonideoduplex apparetlt. ibid. II '! tlttlq,confirmant. ibid. 1I5 3. ~omodo hI,imaginesaboculoin ,e- I I • ~omodo moteuquiimmut4nt o&IIIi. J;ebru11)tr4n(ellnt. 1°7 jiguram, efficitlntutobjeEforumdiftan- tindeprehend4tur. I IS VI. 12. Etitlmjimotmiftinobu inftiisjiant , nos tamen quid jignijicent agnofcere. V De Viilone. ibid. 1. Ijionem non fieri ope imaginum , 13. Amborum oelilorum confjiratio , 11 £ qUAliboeulistranfeunt incere nimad'Vertend£ diftanti& inftr'Vit; nee ~::rn; fed ope motuum qui ipflUcom- nonuniU4oculi,fi locoIuo moveatur. Unto 1°9 ibid. I)G ~·lf1ctO2o,e.ulOtes·)"'I.tmemo.tNfioumno'sV,I"Jp,;.eeprocrleps'.l,utml.tle'/1n,A"t1~...0J_- 14g."~r£uo,.m,&odmoadjeiuftianulltiomianIuMt lUco1nnfeunfi,oeff-i~ ' 3·e"',u<:,Sa'rdlolo.rem• .ibid. fiCI4nt ue ·difh,ntiIJ II"imn,Rvertatur. - I, usIn0,u1oIIcceptH4effi&14t, ul 117 * 3 J5. Obje- I N D E X. J'5d.anOebamjelctoogfunmiti,onqeumI,,jinptfltlreummurd,i(ptarln.ctie£ CAPVT \'II. melizMdigno(cend£ infervire: idemque Demodisvifionelnperficiendi. !itUI"efficere. ibid. dA6 - 16. §0omodo uniufcujufque objeai ma- I. TRia in vifioneeIft conJi~era1J ortJ gnitudo&jiguradignoftatt~r. 119 . objec1a) organa interl ~ z6 17- Cur nos aliquando 'Vifeu[allat; ~ ~xterto,.a. 8"TfJ phrenetici,autquidormiunt,putent,fe :z.&1.!~atuor tantum'advijionemperfe z1 'Videreqtlodnon'Vident. ibid. reddendlemrequiri. ~n,e. 1g.deCaentrtuarl;iq&tlantad£{o;vvo5bejfeJci1c.itn..td,uuptloicbiaje8'Vumi 3x.e§r0iotm; o~doqnullitdurfaupperirmjiot,ij/qourUodflJa'~pbroiJd~.Oi & duplexeffipUletur. ' 120 addat. 1 19.truCmurcioancfrPiiccii,unatutoqtm-tinpiaerqfutaI,vuvimdevnit-, 4J·~en~oucml oedf/,ilfocsr.imenfitinterjuven, llffJ.1~t~!JS fta'VtJ ejJejudicenJt. Et quu fit 10C'14e 5· §0omodomederioporteatmyoPIl1'».bid. qpulaonucmon,fcPuijctMitufrupoebrjjiecci1ets$mnonperrunvtiptarruaml .6.feInnutemrmoeuulltias.vitra,quI.iOireiI"nfe;.11Ji"f..' le/£;& pervitrumconcaruum; eurque pojJu~t )fae~llimll politu funt deIg~b' trtureunacmt.ocIbtojeenrc}v1)e)uxmuqmumuivnfuiid-tselo,ttuqtUru;aem.q&u/ioctu,pre"irbpipvaai jdreileilal:anItt,euamrddaeivlletqorutfiIt/ds,empmuenlCiamlliisiesmffiadcniivuAennrtjtii,S'"litOtil~/lifflJJ~'9";' liquandomajta& remoritM, aliquan "r.ILt"Sproce ere. droevveerrao/1itninUau&t&etpiraompiuinsvaeplp·!aurme..l.tqDeuni~am 7·haNboenreo,pqmUtellflfJe,Ca.lrlicuU"mmehtarCe,4in;OAye.·cdHelfe. I/1.'.111' que quisfJit loetai!i1aginu1n, qll£con- 8. Imagine~m magnitudinem penaderetIIbi ffiieituntur in JPeculis tam planu quam tumabObjC&fOrUmdiftantiIJ, 10&0Ilf' convexisautconcievu: & curibiappa. fe rAdii, qui inoculum ingredi#1Jlrfl' reant recf£ aut inverfi,. majores aut decuffatimfecant ) & lib ipforlltP~~id.fiJi' mquinaomreJsun,e&ipfapor~oitclap.iores autremotioJre2s(J 9.ElRioenfeta.t7:ionemnonef{ehzemtlgnA,10"r 2..0d.iCftaunrtif.a'Ici;leqdueoeimpioadmotqefrttinprjuodbiacrainpdooffidte) dceeJrlaibtiiolenmeddiigftnaannt1i;aemst:n&ee qobjcuc1ori~"d!tJII&,'.ubll·bid. 'ilOS lzon folerediftantiam J00 aut,zoo cejfibiliafunt, (acere convelJ1at•.1.;1t pedibUlrnajorCl1Jimp.,ginari. I 23 . 'o.orll'" 2I.HCourir{aSnolti6p-roxLirurn;ia,mquaajomreasbveiodreelmlnottui:r I o.pIttnlicqauroirctomnf,ifulnaitcionvveintrtioopceornJPjfIRCl11fl"1J4;'-;; 4npepmareexntaenmgquuloe voibfijeoBnoisrttnmonmeIlrtegmnietnufdui 11&. AquugiserfiitpiolJlfoeriummageIJnfees8,te1f4fi.c.zcn0d1#e'I,tI,rJft' rant'iarn. 124- dii proculaboculo dccuJ!entl1r, oP'or 2.2'.111C&uramlabjaor&l/"luqmuianmofafuonbjte,cl:aap)paprroeibapiindot... gihfeutrelei;tua6bq-uuliUad6epm)letpanr7i.:J.jtfoq.lumreaaangtciosfqiimlnlaeat~;g~.l~II;n1ngr~e /11~1Il'110 22.+3v..AC!il2ud....-,uorome1mo1d1oontiaar,ecoRlnrpopptoiaroraneea'sVntifliriad()enttupniadnrav.taabJlat2ltit5st 12lu'otnPgauiodprjielulnJ'V'lJmcotc,ocut~cnlJ,tu4lmifoeq.bfclU~rie.f,l{sete.Jutaflm1r;~lolb/1lIO1. "bJe;f5t , ftcu1~dtlm Pe~fPeai"UP" reguUu delinett- utitur. .' d II'1Pf!l tis. ibid. I 3. Nee refrllc1iol1em 'vltrl qtlO -" I•ntuhuloeontinet, net membr4nart~Jm N DtulEosaXut.eOipfts, pO.Jttj:efier.z..utrtluJ"ttpil. ljuibushumoresoculiin'Vol~'untur, ulld ralleliinunumpunEfum.coe4nt;lIut14t I ,onfi~er"tione eJfedignvu. . ibid. iiquiabeadempuntloprodettnt,paral. ""j;U'P{um4-quefieri po/Ietttbuloliboculo lelie'Vtldant. 146 I ep4r4~o, 4tque co')?jt~nao, ibid. 5•~omodo fteripoffit,utradiiqttiab~~o s·~4 'nrcconjiftarin'Ventio Teleftopii. vitrilatere[untparalleli,abaltero aif 1 gregentur, tan,qutlln jiomnesabeodem ,16•~G~l.m.o d0t°mpediripO,JIfJ:tt,nev,t'S~da 1?07" punEloexirent. 14S 'UTlJInoculosingredientium ntmzs mlt 6.-~omodo fieripoffitutcumabutroque g124fit. ibid. 14t,re funtp4rllOeli in mineu!patium 17. ~4omodo cont~a impediri poJflt, cum a/,unoquam ab 41tero latere contrtl l1;l1'};sdebtliseft, & objeilll Accef!ibili4 hantllr. 149 JUnt. ibid. 7·~omodo idernobtineriqueat,efficien J8.'£tquomodo,cum4cee/pbiliarunt, & dopr£terea,utradii/int inverfi. I 50 telefCopioutimur. ibid, I 38 8. ~tI rationefteri poJ!it, utom;lesradii J9. ~anto majeupupillafieripojJithorum abunopttnltoprocedentes,inaliopun~10 conJPiciliorumori./icium; &CUrl1)ajus congregentur. ibtd. fieri.debeAt. I ::8 9. Etutomnesiiquiab1I1iquopun80eX ~o. O~Jec1orum accen;bilittm "~urfr/' ~ . })l ........ :JJa, non eunt, difgregentltr) quafiabaliopt~n:10 opeucffiztatlugerett~bu,li orificittm.I 39 promanarent. IbId. ~t u•tAi,m.dIItlr'z"JcronnttlJUfhrel'icJlC'["lzIaur,lJprr&adfliaorreu,millo'Vruimmcourmi- I of.iEatdutidoemmnepsuinilqtuuimditefngd~rreengt,atifun~ tteqrUularJ fictNmlIi2gufliusfacere,quam id'Vitro difgregentur,qua{iabeodemptinEfopro- cfJlo'ttto tegere. EtadidanfTu!litured dirent. J51 ~~.J~ee"edutmu,teg~re.pr&q.Uftallrmeetx"nttrrelnmjIfafC.;zit~,iu. extr1i4n0- I I.mofjd{umid.ftthyperbola,& eam deftribe1n5d2i tem.4p.doqlt.ld'duttlefit-,__,_mul.taobjec1tJeodem I .2. Demonjtrlltio proprietatu hyperbol£ 'J "e"'VI ere; 0- qUIdfierioporteat, quoadrefrac1io'J'Jes. , . ,157 ~3.obe'lJ7.eer4"l1l'4eeoqpuuls"r'/tIitnp.OJ"JeJt:aCI'It'tatem 'Vidiebnidd.i I 3.re~aoimsodfioeri poex/fin/Otli'sVihryrpae,rbqoulu£r~adt~olncsu.o~ ~4-. Tf: "pt'optn&Juaafttremota. 141 mnib!Mii{demmodumutent, atquetIle .fo'lJdefilliumfit,utGymnofophiflliOIJ, quiellipfibus &circuluconftant. I 55, Ot141oSolemintueriporuerint. ibid. J56 14. Etiamfi multi. nlil ftgur,fl, fint, quI, 1) CAP V T VII!. eoJdem effeE1us prsducere queunt,nul trfUienUris' quas pe11UCI°dacorpora requl.- las tamen pr£cedmtibtM ad conjpicilitJ t " ad detorquendos refraC1ione e./Jeaptiores. I 59 rachos,0mOl'busn10d"IS v11~10111. I 5. Figurt14foluhJperboli~ &lineis 1'ec1i4 infervientibus. conftantesdelineatuejJef~ciliores. ibid. l·Uhl qUt.bus ftguru hitagendumJit· J6.id~£accucnquureate efffiictetrreJ)iutrtijrilgludrii",,andoin'tlepro/Jifse ~·~bei~dti. /iItF.ll,'pjis;~ quomodofit d~{cri-142- pauunlcloisnpgrroegdeenutnutre.s,intotidem/lbupIu6n0 ~.lJe~· ibid. Ji. Vitra hyperbolicaomniumoptim4 eJfe "'fil-:.liil.a.~lO.o1nJi.l!lb!lrsi4u"'ti"odph,Io'bpz'rtu.ie',tItan'teu.lSEIllpirpAfitserin(JI~r"e"5 I 8i.mnRahgauudniocdsijfPinaeerdmgii.vveirt/rios EpuynpEer1bisolpicroocterdaejneJtle6tso2t, ~ quam I N D E X 9ua1n eOipt;co: qua"to.queellipt,ic.tlm denJiu,,.eft,tantorninU1 lOudtraJ,clen. C A l' V T IX. dodiJPergi. 163' Defcriptio Specil1ornm. 19. 5i2.:!antarncui1quedenfitatem haheat, ·Uo,lItfJ nonpoffe iditnllginem quam ifti radii I. Qvalio eligenda /it per,J(r1',C'I~ pi' pingunt, ni/iquartaalet tertia parte materia~ 6» cur fere .Ie;ej-- tninorem reddere quam faciat hyper.t. fiataliquareftexioin torporu~ ftII:~. bolitum: &-inioqualitatemtanto ma- dorumfuperftm:curquereJlexto.ift 7 0 joremeffe,quantornajoreft~t'itri refra lidior.ft'tincryftailoquamin1/ltrO.~bft4 itio. NullanJ'Vitrojiguram dari poffi, 2. De{criptiolonJPiciliorumqUI.m1°P~ td qll£ im'.lginern iftam majorem readat inferviunt. & ilSqui t"mUfTI ef1lt~J h)'perbolica autrninore.melliptica.I63, viderepoJfunt. . ~/jj & 165 3. CurfupponipofJitradiosapuniiOeUs:, zo. ~omodo inteOigendumfit , radiosa remoto pr{)deuntesej{e qua/ipttrA II;" itnlivperrimfisapfuunpEerifuicpier'o,mqaun£aenftfiecseredecpueJtJeailri, &bmcuutrun'Uonu/ritfinneecse,ffefi,g(uonrJaPmi&VilItIolrdllCfl.JlI•&fe1W""I IttintotidenJaliu diverjis punilu con ratameffe· itl gregentttr. " 165 4.§2.;lomodoperJPicillapulitlJriae"N"1~ 1(,,,, 2J. VitraEllipticamagisurere,quamHy 'Vitrofieridebe"Int. " _ti;Jr perbollc::l": 6- quomodo metiri oporteat .s." ~id requir~tur intelefe0piu, vim!peclllorun'l aut 'Vltrarum uren· perfecta. .I.~ tium. NullapoJfefieri, qu«,linearella 6. §0aliaitidem ejJedebeant perfj,&1 9" urantininfinitum. 166 PuLicarza,IItfint perfeaa. )7"" ~;" 22. Minima'Vitraaut JPecula tot radios 7. Adhzsperl}ncillls'utendum,prlfJ'I,6# longregareadur~ndulJ'JJ inJPatioi'tquo' alterumocutum'Vela ~llquo obf&14';tpl6# eoscongregant,atquemaxima, qu£fi gere, quam eummu(culorumope ·,fII gurtU;r;iitimuiftufimilcshabent, in£ dere. Vti~e .quoqu~ ejJe,'VzrtUJIi.ill. II/c&1l1" quali/patio,iftaqttemaximanullam4 anteadebtlttare, tnloco 'Ualde~bi li'~ li(-I1rJpr£rogativamhllbere,quameosin fecontinendo: atqueetiamir'JAf,'fJII"J, /patioml?jori& remotioricongregandi. nemdij}ojittJmhabere.,quaftadrlS~ s~ Iltque itafPeculaaut vitrava/depar deremOlas&obfcurtUintuenduf/J·fill' 'Va./ieri"pojJe,qua.tamenmagnamuren 8. ~ifiat,ut mitJusalJt(Jha&feli~~S lOti' di vim habeant. Speculum &omburens rintartificesinac&uratuteleft°~'J6 IS"' cujIM diameternonexcetiit 100partem ·jiciendu,quaminaItisperJPiciOIl. diflanti£adquamrtldioscongregat,non po/Feefficere, ut vehementituurantaut C A l' Y T X. &IIlef4ciantJquamilliquidirelie~ Sole Demodoexpoliendiviera. procedunt. I 67 lI 2.3' Vitraelliptica plttresexeodem punEfo 1. QVomodo magnitudorefr"fljllfiJt11'1"" rndios4cciperepojJe,utcospofle4paral~ 'Vitri,quoutI'VolumtJ4' Js~ lelosreddant,quamuOiU&Rlteri~ jigu 'fJenienda. fJli~ r£. 168,169 z. §0omodoinvenianturpurl1~ :;~ ;I 24. 5£pc vitJla hyperbolica elliptic;s effi & vertex hJperbol~, &Ujt-a.'VltIJrz ,ft l pr£ferena'"a,qU(Jdttnot4ntl~ndem luque Iud, cujmrefraEflones cogntll.fi. p' duobeueffieipoJlit. . gurtun£lnularidebet: & quornO0,; All' [forum if/arum diftllntill IIHJ'~ JsS minuipolfir.· t:J1I'" ;.J',;I 1 N D E X mintu denf~ri poffint..,~are, in{Olit,uf 5· Cur non t4m ft4cjle cong"elefuI': &- calor£/late~ntet'dtlrrJ acre,nubtlofent~a~ qt"olnodoaquaope[alis In glnciern~~r" tur. Etqutdvapores ,,,ltdos aut frtge. tatur. ' lblJ·- dos redda:., , . . 209 6. Cur difficillimc{tll ale!!t in rv,1t"oref11j- 5. CUY h"daus calzdlor emtttatur ore & aqua dulcuf,1cilli/7-:e. 211- 'Valdeaperto'1Utl1iJ pro~emodum ,~a~~ 7. Cur aqua maris ai'ena percoltltle dul... foe Etcttr lnaJores ventI [emperfrlgldl ceftat ; & aqua !oJ1ti14m& jlff,mintlT!' ji'2t. n' ' .2I~,2 I1 ji~ dulcu. Cur fltt1?J~na ilJrnarejl:le:fI~ 6. Cur v.:.-pores tn~ertlum .m,agu , Inter- cJtUaqutUnee dl-ltelores, neecoPtoJ~o~e durn rntnus ,radtos lu;ntnu obtundant. reddant. tbld. ~C!lJ~,ta~~~J halai.tftuitstCo.ru~l~mres,:egisv'~Uporiedseaturfahleyreemeej!eJ 8.qCuaurtomrevmere, qmUatlgl1iJs'V(e;aof-!~lfurnpfoitlosv.erftt4zJ&g, Inaerc., cum11Untmevldentur, quam 9. Cur aqua falfa minus aptt-~ /it ;,;&e1l-- tun')vtdentttr.' "" . ~ 11 diuexftinguendis , quamduleis: &:&llf 7. !i2.!.~o f~nfu v~p~res nlu,JllUhumtdtores noaudumagitatltr inmari, lumen e" autficctorcs d,et'p~f!int.. 2.12. mittllt. CurrJeemaria, nee aquil rnA:, 8. ~~ jirJt varl£ e.xhal~ttonu1~ nattl- ris diu in 'Ua{e fer·vatll ,fieluceat:(J' rx; & qtlom~do fetpfMa 'Uapo"lb~ (e- curnon£qualiteromnesejusgutt&Ji~l~' __ gregent. Ibid. ceant. 1bld• 10.-Curaqua;11litor,marisfol/is qu;hll!: CPA V T I II. dammil1imeprofu.ndisineludatur,AJ[A lem conficienduln : & curfal non pAl. De Sale. rliftaerecalido& ficco. Z~ I. /~-, VI.fit natura IIqu£ ra~{£: & cur I I.Curomniumliquort~m fuperjiciesfitII,r ~-l. oleum ex corporibus eo made tnodtem 1£'Uis': G~ cur aqll£ flJperftt~e" fac1isnOi')ttunf.:tcile egrediatur, '1uam difjiciliusdi·vidaturJqtlameju5interZlOfio aqua. 213 respArtes. 2. Curtanta fit invapore differentia in lZ. §Zt!~modo /alisparticull. in,,~II~ ~ ter falem & aqutlllJ dulcem. Cur fal ptrJicleJJ"£rCi:tlJt. lb~' carniumcorruptionemimpediAt ea[que I 3. Gurcujufque[alisgranibajisftt'lllli" J duriores reddat: cur 'Vero aquaduleis . drata : & quomodo bnfis ifttl./iS~i" 3.-eCMurcoarqrttt/tJmfpa~raat. gra'Viorfit ,quamd2.uIl4 dqtu:aatnutru.lumcurvtI,quarlJvis pia"".ziziJ'-· cis;&nihilomintUfalugranain aqu£ t4. ~omodo integrumJ,-tlisgranUfTJ11;"· marin£fi~perjieie formentur. Particu baft in£d~#c'tf4r. Gllr/itqUi-dam::,ell"" 1Mfalu eommunuejJelongtU,reBlU,6 ttHinmediai/torumgran()Y.um:...0'hI' inutraque extrcmitate &qlltlliter craf eorur!)fuperior pars[aliar/itqtl~ffJ I[)IJ .flU:quomodoque dlj}onantu,interpar- Jis: & quid bafiinreddat 11,A./orertJz'J,Z ticulMaq!11.,dulcu: ~majorem eJfeptlr minoret)}. 1"1116 ticul4rum agitlltionem in aqua falfa, I 5.Curil1terrlumpartieul£fllisaqll& bOj'" 4.qCuuarm[:iIniftaluclielei. humiditatef-llvi4bitdu.r:2&IS jt.l.I..nU.it}')coPnectraefncte)rcp.rt,§tM4.uqolmtaomd0t-~iqlt4!(>fraInI~t,llOrfrI1IoII'"' curincertaaqul,dulchquantitate~ eer tcra cujllfquegrani 'inoJo magI;" red, ttltantumeju-squantitasliquefcat:Cur do mintM inclinata & ~rJ~qNII ,IIIAII' "&qu/pJ4mu~lrlinoa m4}Operlliuncied4iojritfli!tlfulum'Viniautirlie-t rdunm,ntnuorn. fCi/~nrt acdommomdiJuJmurla.ccifutorArutrtlJ,fr"J"·fAIt;"' {!Rilio.. Z16 /iII/qUIinipjis, quamalibigrtln;iintllf:.