Table Of ContentRENATI 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:.