# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 299, page id 845634801:0305
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=305
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000305.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.82
# 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.

nFB, 
enim
et
1
1Ik
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ed
nell
seb
aoei st
erima bis, minuscertianovies, plusquinta sexies; minus seprima, bali
crianguli sexti.
Sccunda Lepries, inUS qLaEEA quatex decies, plus Lexra Sepries, minus
Octara, perpendiculo criansuli septimi.
Primabis, minus certia (edecies, plus quinta vicies, minus seprima octies,
plus nona, bali crians uli octavi.
Secundanories, minus quinta ericies, plus (exta vicies seprses, minus
Octara novies, plus decima, perpendiculo triangulinoni.
Er ica in infinicum, inverso eo qui in sexto Theoremate expolitus est,
ordine.
Sic Cerhicirculus qualis sapra, cujus peripheria secta sc in partes quorcunque aquales,
aacerminis diameeri educancur eriangulorum rectangulorum lacera: lirque semidiame-
ex Z,erianguli vero submulcipli perpendiculum (ic B: _C AaE uE X ad B, ita B ad = . quo
A 9. 2. = B a Balis erianguli secundi, ex prace.
demri Theoremate. Sic, hac. X adt B. ica 29. 2. = B4., Xg in B2. - Bcub. noc ad-
dacie ipli B, (quandoquidem basibus decrescenribus perpendicula augentur.) Ret
R9. in B3. =Bc
X9. aquale Perpendiculorriangulicerrii. eadem que methodo exie
R99. 2. - B9. in X 9. 4. F B44 Basis crianguli quarri.
EC
294. in B5. = B c. in X4. 5. + B ac. Perpendiculum crianguliquinei.
X99.
A999. 2. - X 99. in B4. 9. + X9. in B99. 6. =BCc: Balis eriane uli sexri.
ZgC.
2944 in B7. = X 99. in Bc. 14. F X9. in B 9C. 7. =B445 Perpendiculum erian-
Bali sexeimi.
2994.
L9923 2. - X 999. in B9. 16. + X 94. in B49. 20. = X9. in BCc. 8. + B 4994.
Batis criangulioctavi.
299C.
L9924 In B9. - 4999. in BC. 30. - X 99. in B9c. 27. - X9. in B99c. 9. + Bccc.
Pexpendiculum crianguli noni.
XgCC.
ec comintinicum progressu, adscica liplacerrabella Lheorematis sexri.
in nocis sit prima concinue proporiionalium 1. eademque communis vrianeulorum rectaneulorum
semibysporenusa.
Selunda vero concinue proporiionalium L N. eademque insellisitor perpendisulum trianeuli ad an-
ulum perimensis submulsiplum.
AD ANCYZA RES SECFTOHES.
9. F 2009
30C + 2785-93
2c + 2C
Dupli-
Tripl
Duadrupli–
Seprupli-
Octupl.
 Duincupli.
Scutapibo
(Noncuplia
A1G