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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 354, page id 845634801:0360
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=360
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine
# Lines: 70 recognised, mean confidence 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

DAYM DE REBYS MA
TE AE A ZTCFS E
Etangula TUNE FFB, DFC. I
suli enim ad F recti lunc. SC
ec anguli FBC duplam an
plicudinem detinie circumt
rentia C GF. C on(equen
anouli exrerioris, videste
FBE amplicudinem doplat
definie circumferentia FBL
angulus ioieur FBE anouL
FCD est aequalis, de reliqu.
reliquo. Ouarecriangula F. L
DFC Cimilia Cunc. Ip(I auEC
E FB Amile est criangulu
FFIL, quia paraIlela (UNEFB
FIL, Orraque SECANS FC DC.
pendicularirer, HXC Cx, CON
structione, illa ex ri circuli
F. siBIEFUEFD adDO, i
EFI ad EL, _VEFFad FB, 1
EFI ad FT. FK aurem VE L
ad EB, ica EB ad FH, p
prec criangulorum quoq
EFB, E BEI similicudine
Ouare proporrionales 
COntinHE EF, EB, FH, L
Sed ex rarione paralletaru
eAt quoque uc BD id est L
ad EB, ita FTC ad FFL. Oud
HIC, E B suneaequales. Dic
EI quoque aquari BC.
In crianoulo enim EBC Ob
dracum ex HIC scu FB. Ouadracum igitur ex FFL una cum eo quod EEIUbEFI, L. B
LquatUE quadrATO Ex BC unacum eo quod lir sub FB, BC. id est, aequarur tacto 
BC _ CompOlITL exE B, BC. Sed quadratum ex E. FI valer factum suB EB, EI. FaCtO
rem sub FF, EB bis, aquarur tactum lub EF, E. l bis, Factumve sub BC, EI. Ouare L
ctum sub EL e compoliTa ex FB, BC, aequacur Facto sub BC e composica ex F. B, BC.
ixirur BC aequalis F.L. ee sunr concinue proporcionales EF, E.B, F HI, BC. Sed etaTULL
adEB, ita FD ad BC. OHaEC FD quoque est aqualisip sI F. HI, de AunE continuC prOPC
rionales EF, F.B, FD, BC. PrimX autem EF exrrema BC eA dupla. F. st enim B C. diamete
e ipla F F Constructa est semidiametro aequalis. Constructa luneisitur quaruor linea l
Ax continue proportionales EF, FB, FD, BC, quarum extrema lune in rasione dup
Luoceacaciendum.
dutem Plechanice bene obvia es absolvicuruna, quo d ajune, circini adaperiura.
Sit F. F 100,000,000.
Eit F B 125, 992, 105.
FD 158, 740, 105.
CB 200,000,000.
II. Eysisa
III. Extisa
liquangulo, cujus alcieudo CD, qu adratuI EX F. C aequale cA quadratis ExBC, F B si05
lis, una cum eo quod sc lub E. B, BD bis. Iplum vero quadcatum ex F. C, aequale quact
FISCxEHL, ELC lingulisuna cum eo quod HC sub FFI, FTC bis. Verinque aufetatur qu
IV. arpibcos
E X O A YO N.
Cum juberur arichmericus inter L e 2 exhibere numerum medium proporcionalem. ille vero re
sponderit non exhiberi, quoniam numeri extremi L es 2 non sune similes plani, cam apre in ex hypota
solvis Problema de uno medio, quam si jubereturinter L es 4 exhibere medium proportionalem. 
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