# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0400
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0400?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 394, page id 845634801:0400
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=400
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000400.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 77 lines, status machine
# Lines: 77 recognised, mean confidence 0.80
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

394
V AR LORYM DE REBVS NIA TH EMA LLCLS
10
Si deseritatur helix, CrjuS pPInCIDIUM SIE in Una CXHTCHMICaC diaMCEEI
alicujus cirCMI Guadrans rero principii conreo  spIa Mantclet; lc.
cipiohelicis. Alcera continsenshelicem in quadrante principii convertio
nis. leaque dua illa linex rectae una cum diametro circuli criansulum re-
ctangulum describane, cujus balis sic ipla diamecer. Prit alticudo crianguli
Cemi. perimetro dati circuli aequalis, iplum rero criansulum circulo ae quale.
Sic circulus ABCD, cujus diamerer BD, d deseribatur helix, cujus principium B,
quarra vero pars principii convertionis sic BD. Sele aurem muruo se cent dux linex recta
in E. Itna circulum conringens in B, altera contingenshelicem in D. Ieaque dux illae li-
Dea reCtA BE, DE. una cum diamerro BD eriangulum F. BD rectangulum constituaNE, CU
jus ba(iS(FB D. Dico alticudinem E. B circum Ferentiae B AD, id est semiperimetro dati
circuli ABC. D este aequalem, acque adeo iplum criangulum E. B D daco circulo ABCD
esse aequale.
CeneroenimB, incer
vallo BF quadruplo 2c
BD, describatur circulus
FHOF quadrilectus
duabus diamerrisHIBDI.
FEBG. IEaquE BFGCprin
cipium rerolutionis hel.
CIS, CUjuS CONFIHUETEII
prima revolutione de
Ccrixrio. Sed de centra
B incerrallo BD delcri
bacur circulus cerrius
DMTTO.
Per ea isicur quae de
monstraca lune ab AFcH
mede XX I propolicione
neet Exinco recta BI
quadranti eorius circum
Ferentix DMI N O est a
qualis. Guadrans autem
eorius circumterentia
circuli DMVIO est equa
lis semiperimerro circul.
BAD. Perimecrienim cie-
culorum sunE, ve iplo-
scBD, esler aa ee e prooo pa ntet uerenor  ninns. Lriau
SUlUm IGITE RECLAHSCIILHI L BD, CEE Lquase Quacatri circuli D M N O. Sed quadeana
SC IVTe MUEIOSCCCMCMa linCX FectX. VHA CHCMIMM. COI CH in prin-
rum diamerri. Diameter vero circuli D MI NO est dupla ad diamerrum circuli AB C D.
lraqi BL ectaequalis semiperimetro circuli ABC. D. Ouod erat primo loco ostendendur
Friangulum porro rectangulum cujus alcirudo elt quadcupla ipsius BE, immucata b
circuli D M HO qutalis elt circulus AB C D. Circuli enim lmiles luneiis, quae à dime
riencibusillorum delecibuncur, quadraris. Frianculum igiru lectansulum F.DD circul
ABCD ellaequale. Ouo decat secundo loco oMtendendum.
euju
dan
qual
alix
ecr
lex B
auiju
SAEI
82
eu
id
sed
fere
nit
eium
ncer
2B
e
Prime
eun
lu
P2
Cres
cia
ec
que
Ee