DIOPTRICE, 



five 



DEMON'STRATIO EORVM. QV E VISVI ET 



vifibilibuj propter Confpicilla, hoc efl, vitra feu Cry- 



flallospcllucidos accidunt. 



I. DEFIXITIO. 



IN'cIinatio fuper rupcrficicm, fumitur de angulo inter per- 

 pcndiailaremfupcrfidei, &quemeu'nq;alium radium, qui 

 pcrpcndicularcm I'ecat in punfto fuperflcici. 



II. AXIOMA OPTICVM. 



Radij in medium dcnfiusingrefTi cum inclinatione rcfrin- 

 gimtur,c5crcfradi intra corpus accedunt verdis perpendicu- 

 larem ereQam fuper denfi fuperficicm in punfto incidentis 

 radij. Iidemcgi-cfiiexmediodcnfiorirefringunnir, & refrafli 

 extra corpuidcnfum d:fccduntab hac perpendicular!. 



III. AXIOMA OPT1CVM. 



Ea Jem cfl refra3io rcdibrum, five illi natuia fua ingredi- 

 antur five cgrcdiantur, vcl ut tales confidereiKur. 

 IV. PROBLEMA. 



Pcllucidi corporisdurirefi-aQionesartificiofcmttinmo- 

 mni radiorum inclinatione. 



Sit corpM durum peHu'.tdum A E. id ttrminetur uni exytifita, 

 fiiperfciepUtiH D E, aiqtttm dut 

 tl't er;gnntur fltrit f'lpcrpiics in~ 

 terft ptn/leljt, ff priori aj gngu- 

 los reel 'is , qu.t fun B A cr E F . 

 H"if (omptrt (sputa ;.- r * ^f.c'in- 

 q ut m.iUria, vefnll ex /. :/ o t C:II--H 



F.e qutu imago rei vlfibilit efl ever ft per utrtm len- 

 ttm : Lens veropropior noa ever tit dfnuo^nodacctpa 

 <( RemotioriJeJf/ciit tccipit ',ad ' cculum trtasmittit,ex 

 Juppofito.Accipittutem reJJiefiurei'vifibUu, tmtgine 

 tverfgm : Everfom igitur reftcttu rei viftbtlu ad oca. 

 lum mil tit. 



Et quin imago ip fit tvcrfi, prop e pun fl urn conc'ur- 

 fm^aiorappuretreipsA^emQtiusx^udis; & tdhuc 

 remotitfi, minor, p'er XXCIf. imigoigiturbxcfiee'ver- 

 f*,u\>i fuerit tmplmta per lentem propiorcm, duobm 

 primit ca/itua mtjir omnmo e-vtdet re ipfa , ultimo c4- 

 / vet 'major -velt^Htlis vdminor, prout futrit lenti 

 uminterjtproportio,(jtt ejl in Arbitrio arti/ictf. certe 

 tftmen major, qutim quaatam lens,octilo proxjma f tan? 

 MCffftrM a. leate rcmotiori,pcr XXC. 



XXCV1I.. PRQBLEMA. 



Dnobusconvexis dirtinSa prasflarc vifibilia 

 & ere&a,fed mjnora. 



Htcduo convex* oportet in fufficienti diftrtmiiie 

 effe con-vexittttum. Collocelur igitur ocultts extra u- 

 triM% puni* concur fuum, tlterim puntto dtflinttio- 

 uti propior a reliquipunfto dtflmttionu remotior, ut 

 itt neittro [olittrto eiierftdiftinilectraitatur.Sieaim 

 fuerint lent 'es hoc fnu cum -oculo in tandem Itnettnf 

 tonipofitf,coqlra.ritiviti*/cmutHQ tollcnt, rjr dtjltn- 

 fitofe^etur. 



Vt AUtem & ereffiitfit imtt?o t oportet (4m bucucr- 

 tt, Et ut liocftt lentem proptorem oporttt tpfim eti- 

 tmeffe rtmottm A rcmotiore Hltrt illtutf unfit ton- 



Stt 



IOANNIS KEPIERI 



S*. C*. M ti$ . MATHEMATICI 



DIOPTRICE 



S E V 



Dcmonftratlo corum quz vifui & vifibilibus pro- 



pter Confpicillanon ita pridem invcnta 



accidunc. 



frtmijpt Efijlolt Gtlihideys, qm poJIeJitionem NuncyfiJery 



ope PcrfiiciUi, nov/t & admirtndt incxlo 



deprcbtnf* (unt. 



Item 



Extmtn prefatioHU lotnnu Pens Gaffi tit 

 vfu Offices in pbiloftpbU. 



AVC V Sr A E VlKDELlCORrilf, 



tjpit Vn-vidit Fraud.' 



Cumpriuilegio Cxfareo ad anno t XV. 

 M. D CXI. 



fun flam eotligttitr. 



bill* pun flu infinite. Infinite . 6 _ 



litpuncl* pingentur f*pcr papyro, idtjl 

 tot 4 rei "jifibilttfupafcies, 



XLIV. PRDPOSIT10. 

 Pidura lentis in vcrfa eft. 

 Nam lens efl bafts in quam tnfiftunt li- 

 nt utrimy, cent, alterttu vertex efl in 

 punflo vt/ibili, nit triai vertex inpuncio 

 fit}ur*fuper.pap),ro. 



XLV. DEFINITIO. 



Dicamus talcm bigam doiJrinaB 

 caufaPenicillum. 



lam -vero peaiii/fi omnet omnium 

 fHncJorum in lente velut in communi bt- 

 Jiconorum conciirmnt & trtn/italente 

 rnrfitm divtrgtint : fortiunlur^ pltgas 

 tafitrtriM. In h.ic pictura pentct/li tret 

 fitnt A B, C D, 6 1 E F concurrent es in len- 

 te convexa C H.veliiti in b.ificommunu 



XLV r I. PROPOSITIO. 



Sicut fe habet Diameter piclurj! 

 adeiusdiflantiam a lente, fie fe Jia- 

 bet diameter rei vifx ad eius etiam 

 diftantians a Icnte, ftn : Nam axes 

 pcnicillotuin f'reclxdu3.t 3 pundlo 

 villbiliadpunOutn pLTurj: refpon- 

 dcns) fecant Icfe m ucuo omnes penc 

 C inuno 



No. 2265 (page 113). 

 Titlepage and illustrations of this celebrated work. 



