# Leibniz Legible — https://leibnizlegible.com
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# Permalink to this reading: https://leibnizlegible.com/page/845634801:0435?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 429, page id 845634801:0435
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=435
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000435.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 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.
# 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.

1A.
1
R E SPONSORYM. LTBER VIII.
AD OPUS PER DIVISIOHEM.
FranIS. ~. SinUS., FOTS. Sinus. IPTOSN. PTOSIB. PFOcuS. Sinus. ) IEranSSe FFIS FOrS. Fran(S.
A. B A C CB rI AC B C CB At X C A. B.
C C. B
1X A. B B. C AC rI C. B X C AC  eV A B C K C
i AC. C. B. C A B vin B X C AB 11 B AC C
IV AC A C B TZ AB CB C. B v . C. B X
CB B C. X Z AB AC C X +  A B C. B C
Sinus. Franls. J ForS. Frants.) Protin. Prolin., FOcIS. Fran(S.. (, p Simus. SimuS.) ForuS. Sinus
AB A C C. B vI AC B C C.B 12I A C XB C C. B
i AB B C A C) rit CB A C A C ir A B. C XC
ItX C CD C AB ruI . B A C AB 1 B AC C AL
ev (X. C s C B 1X A. B. CB C B v C. B H
2
1
C. B B C A l x A.B A. C C A  + AB CB
ALITCE, AD OPUS PER DIVISIONEM.
FrantS. SinuS, FOruS. Sinus.) IPTOSiIN. PTOLI. JFOTUS. SimuS. 1 (SimuS. SinuS. LOruS. TrantS-
A AB C CB vi B AC C CB  11T A. B XC C CB
B AB C AC vi A CB C AC 1V B A C AC
CB A. C C N B viM A .B C A. B 21 AC B C A. B
A A. C C B IX C. B A. B C B V X C. B
B C B C X I X I A. C A. B C A  + ICB AB C
Sinus. Tranto: )ForuS. Franls:) Perolin. Prolin Torus. Trants: p J. T ravtS:. Frals) FotUS. Sinus
A A. B C C. B vi B A C C C.B 1t AB AC C. C. B
B X. B C R C vir X C. B C A. C 1V B A C N C
C. B AC C AB vIIT X B C AB n XC.B
A AC C B 1X CB AB C B v A CF
CB C a l= AC AB C a 1, CB.
429