# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 388, page id 845634801:0394
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=394
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.79
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

Y AR TOR VM DE REBYS NIA ZH EM A ZICL.
quam C, e hic LL. _ EarurHLad G, ita FL plus Z ad F. Dico inprimis longiruatMCM L
majorem ee quamC. Ouoniam enim est, uc II ad C, ica H plusZ ad F. Ideo ubdu
cendo crirur HLacC, ita Z. ad F minuS C. CUm IBITEG AUFETATT CXE, PEXAAFF. ipI
G. Secundo dico E esse minorem quam C plus Z. Duoniam enim LLCILLHAOF quamC
ideo estur HI ae C, ita Z. adminorem quam Z, veluri ad F. Exper acdirioneM UEHI ad
C. ita II plus L adC plusF. Ieaque C plus F aequabitur F. F.A auret  plus F mino
quam C plus Z. Eidem enim longitudini C minor illic quante Ldditur longicudo
Ouare F minor est quam G plusZ.
Propolitis itaque duabuslineis, una recta nempe C, altera circulart eaque majore
nempe C plus L: inventa est F. linea recta, major quam C, le d unor quam C plus L
duoderar taciendum ileclaa nio. Arque adeo conat Problema.
OL F V M.
388
idem que major angulo lemicirculi.
(CCAL.
Fadem aroumenratione propons auobus asus uno rectitineo, alteto milellineo.
mennegabun Fuclidei, neque cal dabirur angulus rectilineus minor recto rectilinee
Porerie inveniri rectilinens minor dato rectilinco, sed major daromistilineo. Ouod ca
PROPOSTTIO L1.
Circulo dato, e linea recta in eo inscripra, guxe diaeERO MMHOF CxI
Sac, ipLAGUE CXITA CIECUTMI COMIIUata, educere lineam e centro ita le
dimidia in (criped LeL LIHHOLCHL Cd X ex cenero inscripram illam bitariat
cancem circulum dE Continuatam in seripta, UE parS CdUICtX E CCNErO WH
cerjacens inter circumterentiam e inscriptam, le habeat ad jungentem
inleripex _ eductxe terminos in circumterentia notatos viciniores, scul
Sic darus sub A cemrro deseripeus circulus, cui inseripta HCBC MIMOE Cametio, lec
bitariam ab ea quae excenero in D. Eadem BC producta cuoel circulum. Dicopa
se cducitalem AFE; secancem BC productam in L; elustetCHlIa veroin F: uC LL. L
CF sChabCaE, ut D C ad quam cunque minorem ipla HB, pote D L. Iph enim BC 23
cur diameter parallela C A FI, quam cangens chCuun In C Secer in L. Suncigitur 
lia criansula AD C, AL C. Ouare D C. ad AD est, Sicur A C ad C. 1. D C veco ad
esthe AC ad minorem quam CL. Sit illa X. P orest igirur E puncto C cducirecta, 
circumtereMtiam in F, parallelam vero CI in H: ita vE FR sic aqualis ip (I Z, ciH LL H
nOT quam CI. EduCatuTiSIEE DE jUINSATUEAF,  comrinuerur ad BC in F. FrBO bH
DC ad DZ, SICA F ad FK. Sed cum sine parallelE BE, GL, SimisL CaS Cd C L H
GFL. Duare est, ut AF ad F K, ira F F. 2d C 1. LL at C F, H CD ad D2
Ex conttil propoltum.
2
S C H OL F Y M.
Ouod lumie Lemma Acchimedesposse a puncto C educi rectam, quae lecar cireun
Cerentiam in P: rectam vero Alin H, ita ur FKC sc xequalis cuicum que rectx X; modo 
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