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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 293, page id 845634801:0299
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=299
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 72 lines, status machine
# Lines: 72 recognised, mean confidence 0.83
# 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.

in qu
NEF 4
BI, ducal
eioneH
GIm
Cipsi AL7
eu
119.
ABLa0 B
It
sal 89
9
1B4
nAD
1t
cie
VOTC
dicta extremitate cductam diamerro proximant, ica quae libet intermedia,
ae lummam duarum, in eadem semiperipheria LBIUErInquC PEOXHaLeLI.
ac licircumterencix sumpex aequales, semiperipheriam LuPerenE, ita mi-
tuma cducta, ad difterentiam duarum sit iucrinque proximaram.
Sic circulus cujus diameter AB, cenrrum P, ejusque peripheria a punetoB, Seceturin
parces quorcunque BI, ItL, HG, GF, FE, ecC. aequales, quibus aquales quoque line BIL.
CMl, MN, NO. Sincque ab alcero diamerri excremo A eductx rectae ad aequalium sectio-
mumcerminos AL, AEI, AC, AF, AE, ecc. e e ductisrectis connectancur puncta BL, IL,
ul. AIM, HIN, CN, CO, aec. quae prioribus ab A puncto eductiserunc ligillatim aequa-
s, coridem quippe ac aequalibus segmentis subcena, secentque semidiamerrum PB in
punctis P, Q, R, S, F, V, Z: cumminimam BL secer recta PK ex cenceo ad angulosre-
os secans ec reliquasip (i BL. parallelas in punctis Y, 6, dee ad angulosrectos, cum sE
iplas GN, AM, IL inpunctis an Y, c.
Ec quoniam rectae IL, AIM, ON,
connectune puncta a termino
diamerri B aequalirer uerinque remo-
ea, crunctxe ad diamerrum perpetdi-
culares, aC uc AB ad AI, ica C O ad
OP, e CQ ad GR, ergOItL tOLGO
dd COMPOLITAI ExOP, GR: SICHIN
Ad COmPOLITaI Cx RN, HIP: aEquCICa
ec reliquae incermedixe ad compolicas
e semistibus duarum sibi urringue
proximarum: Similicer, ue AB ad AI.
AdC a adCY, dt o. N adNB, CrBOUE
AB ad BL ica FOTACN ad compolicam
ex semistibus OX, NB, Sibi urrinque
Proximarum: acque ita HIM ad com-
Potiram ex Cemiltibus vrrinque proxi-
marum LI6, ML d, acque ica de reliquis.
c aurem incermedia qualibet ad
aorum sibi urrinque proximarum semiltes, ita cuxla incermedix ad compolicam ex iil-
Aetr: erg ouc diamerer ad diametro proximam. Ia lupla incermediae ad compolicam ex
ddbus libiurrinque proximis, et uc semidiameter ad dametro proximam, ita incerme-
la limplex ad compolicam ex duabus libiurrinqi prods. Ouod erac demonstrandum.
oc lecundo circuli peripheria cujus diamerer FC, lecta  Partes aequales FA, AB, BD.
l, quae emiperipheriam supecene, cque minima alcerurri lemiciculo inscripia BC
LD: dico ue lemidiameter ad subrentam marimam, ica BC ad differenriam ip larure
E, CD; Scu C D ad disterenciam ip sacum BC, C H.
Subrendatur enim AC, ee GaBE
BC, BC aequales, (productanimi-
ruM DC in C,) se procendatur CB
I E, ducacurque FD: cririgituran-
lusBCOid eAt BOC, aequalis angulo
BED id eABC A. (suncenim (UMPEX
circumterencix BD, B A aequales.)
Anguli quoqueBAC, BDC aequales
lunc, ec latera BC, BC aequalia ex
constructione. ErgO _ AC, DC
equales guOque CFuME: es BUTeM UE
plarum AC, C. D. Es enim angulus
CCaequalisangulo BE. D, quem ta-
AID ANCDL ARES SECTTONES.
lemidiameter ad subrenlam maxi-
nam, ita BC ad CC diferentiam