. Divers ouvrages . aiStioncs radiorum in punftum 5 jincidentium à circuli circumferentia E 3 3 C , quo à linearecta tangente y 33 34; fiquidem in univerfum, lineaquxcunque curva,&: rccla ipfam tangens, eafdem effi-ciunt refracliones radiorum in piuidumcontadus inci-dentium. Pofitâ ergo curvâ C 33 E, vcl reâà y 33 34pro dioptrica , five pro fupcrficie refraftiva , & exiften-te pimfto 5 3 pundo incidenti^ , erit reûa 3 3 K perpen-dicularis ad dioptricam. His prxmilTis, centre 3 3 intervallo quocunquc, putà3 3 &, defcribatur circulus fecans perpendicularem 3 3 Kin puncto 49 , redam 33 A in pundo
. Divers ouvrages . aiStioncs radiorum in punftum 5 jincidentium à circuli circumferentia E 3 3 C , quo à linearecta tangente y 33 34; fiquidem in univerfum, lineaquxcunque curva,&: rccla ipfam tangens, eafdem effi-ciunt refracliones radiorum in piuidumcontadus inci-dentium. Pofitâ ergo curvâ C 33 E, vcl reâà y 33 34pro dioptrica , five pro fupcrficie refraftiva , & exiften-te pimfto 5 3 pundo incidenti^ , erit reûa 3 3 K perpen-dicularis ad dioptricam. His prxmilTis, centre 3 3 intervallo quocunquc, putà3 3 &, defcribatur circulus fecans perpendicularem 3 3 Kin puncto 49 , redam 33 A in pundo 3 8 , & redain 3 ^34 in pundo 34 v eritque arcus 49 34 quadrans ; &c rec-tiE33 49,33B,33 38,6*: 33 34 crunt xquales, Scd,quod prarcipuum efl:, demiffis in rcdam 3 3 49 produc-tam fi fit opus, perpendicularibus A 40 , B 41 , &: 3 8 39 rofi:cndcndum efl: 3 8 39 ad B41 cfic in ratione refraftionis;putà ut AE ad EB; hoc cnim demonftratOjnianifeflum eric De Resolutione ^q^uationttm. iSy-. A a iij. s 90 DeResolutione 7£ i onu lege rcfradionum quam undecimo exemplo fuprà ex-pofuimus, fore ut il radius incidencix fit 36 33 38 A»tune radius refradionis fit 336,6,: vicilîlm 11 radius in-cidentiîe fit B 3 3 , tune radius refradionis fit 3 3 3 6 : hocautem fie demonftramus. Ratio perpendieularis 3 8 39 ad pcrpendicularem B 41,componitur ex rationibus 38 39 ad A 40 ,&: A 40 adB 41 : efl: autem 3 8 3 9 ad A 40 , ut 3 8 5 3 ad 3 3 A , fiveut B 3 3 ad 3 3 A ; &: ut A 40 ad B 41, ita AK ad KB :quare ratio 38 39 ad B 41 eomponitur ex rationibus B 3 3ad 33 A, 8c AK ad KB : ut autem B 5 3 ad 3 3 A , ita BVad VA, ut jam fecundo loeo notavimus, & ita BK ad KV;ideoque ratio 38 39adB 41 componitur ex rationibusAK ad KB , & BK ad KV , qux amba; conftituunt ratio-ncm AKad KV. Ut ergo 38 39 ad B 41, ita AK adKV, five AV adVB ,five AE ad EB , qu^ cft ratio re-fraftionis , ut propofitum eft, Cùmque idem accidatomnibus pundis qux in arcu VC7 afiTumi pofTunt, pa
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