. Divers ouvrages . itrum, fit versus par-tem infcriorem E : & fumpto in rariori, quovis pundo C,progrcdiantur ab co quotcunque ràdii CD, CF , CP & in AB in punclis D , F , P , &c, perqua: ingrediantur in vitfum : ex iis autem radiis, CDperpendicularis fit ad illam fuprrficiem ; ca:tcri autemobliqui, ita ut CF minus obliquus fit quàm CP. Omnesergo , prarter CD frangentur in ingrcllu vitri -, at CD fo--lus redbà fine fraclione tranfibit ad E. Jam cujufvis alio-rum , putà ipfius CF, fradio fie fe habebit. Centro F &:intervallo FC defcribantur duo circuli quadrantes ACIquide
. Divers ouvrages . itrum, fit versus par-tem infcriorem E : & fumpto in rariori, quovis pundo C,progrcdiantur ab co quotcunque ràdii CD, CF , CP & in AB in punclis D , F , P , &c, perqua: ingrediantur in vitfum : ex iis autem radiis, CDperpendicularis fit ad illam fuprrficiem ; ca:tcri autemobliqui, ita ut CF minus obliquus fit quàm CP. Omnesergo , prarter CD frangentur in ingrcllu vitri -, at CD fo--lus redbà fine fraclione tranfibit ad E. Jam cujufvis alio-rum , putà ipfius CF, fradio fie fe habebit. Centro F &:intervallo FC defcribantur duo circuli quadrantes ACIquidem intra aërem, KG4 autem intra vitrum , ira utjrecla IFK fit diameter ad fuperflciem AB perpendicula-jis , &: quadrantes habeant angulos AFI, KF4 rcdos,jad verticem oppofitos ; quo pado illi jaccbunt in eodem Hec. de lJcad. Tome FI. V ï54 DeResolutione ^q^uat r , eruntquc fibi invicem oppofiti. Producatur in di-rcctum re£ca CF incra vicrum uique ad circumferentiamqiudrantisin Si igltur radins CF fradus non efTet in F , ille rcdàprogrederctur in G; at propccr fraftioncni fit concià, iicdeviec abipfa rcditudincCFG , Hacque CFH ex duabiisredis CF ,FH angulum obtufum ad F conftitucntibus,fie ut intra aërcm angulus inclinationis CFI major fiEquàm angulus HFK qui cfl: quoquc angulus inclinatio-nis intra vitrum ; hîc enim inclinationem radiorummenfuramus pcr angulos quos illi faciunt cum perpcn-diculari ereâ:a à punûo incidentix, &c hi anguli rcfpc- De Resolutione JEqvat lotjv m. i^j^u ejufdem radii fiadi, majores funt incra rarum quàmiacra denfum. Prxcerca producatur in dircclum recla HF ultra ccn-trum F ufque ad circumfcrcntiam in Y ; atquc à quatuorpundVis C j Y, G , H in circumferentia exiftcntibus, ca-dant in redani IFK tocidcm pendicularcs CM, YL ,GO,HN, ex quibus dux majores CM, GO inter feAqualcs crunt, iicuci Se dv\x minores YL , HN inter crgo quam liabet utravis majorum ad utramvisminorum , ea cfl: quam vocamus rationem refradioni
Size: 1623px × 1539px
Photo credit: © Reading Room 2020 / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1600, bookdecade1690, bookpublish, booksubjectgeometry
