# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0329
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0329?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 323, page id 845634801:0329
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=329
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000329.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 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.
# 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.

pertinCo
de viB
11aa1aB
qo 
magui
n
ril
ai
artibum
at
b0
IE F SPON SY I
IV MI
adjultam postesioms am ccatu, ua
serentiis circuli subtenduntur, doctrinam, hoc
OdLCGCLCUE
Si sECCTIE LeI-CITCHMTCTCM Lirculi in parteS quoE-
cunque aquales, et ab extremo diametri cducantur recta ad Qu Bet LC-
ctionum puncta: eric ue minima educta 2d diametrum, ita Composita ex
Chametro, deminima, e ea inluper, cujus quadratum adjunctum minimae
Quadrato eficit quadratum diametri ad compolitam ex omnibus eductis
duxlam.
Sic circulus sub A ceniro, diame
rro BC deleriptus. SeCCTUF aureM
circumterentia BC in partes quor-
cunque aquales, a SintillXBD, DF,
CF, FO, GFL. HL, IK, KC, e sub-
cendancur BD, BE, BF, BG, BIL,
DI, BIE. F. R isicur BK aequalis Cub
ren(x D C, cujus quadearum adjun-
ctum quadraco ex DB aequale est qua
draro ex BC. Dico eNeuc BD ad
BC, ita COmpOSTam ex BC; BD.
K seu D C ad compolitam ex Om
nibus duplam, videlicet compolitam
saplam ex BD, BE, BE, BC, BH, BI, BK, B C, ut haecabunde demonstraia sunt e ex-
Polica in Analycicis angularium sectionum.
Est condicus canon simuum per sineula sexapesima scruvula parcium quadrantis circuli in particu-
qualium cocus adsumitur 100, 000, 000. Dueris aliquis summam omnium sinuum sineulit
upulis congruencium. Duoniam igicur est uc sinus unius scrupuli ad sinum eocum; ita sinus unius
Nruxuli. sinus complemenii. ex sinus tocus ad sinum corum, prosnum complementi. ex cranssinuosam
omplemenii: Addat Logista cransinuosam complementi unius scrupuli sua conoruenti prosinui; e in-
per sinui roco, ex constabicur duplum summae quaesica. Franssinuosas videlicer voco hyporenusas quas
appedicat canon faecundissimus, Prosinus latera circa rectum quae canon facundus.
Transsinuosa igieur complemeneiunius scrupulinumeratur 3 43, 774, 681, 923
Prosinusvero.
His addatur sinus TotuS.
Summa fie
343, 774,667,37
100,000,000
687,649, 349, 302.
Est igicur 3 43, 824, 674; 6si summa omnium smuum scrupulorum quadranris ipso sinu 10t0 X C
Parcium numeraco, cam accurasa quam parieur in ea hyporhesilinearum symmecria.
Rovis aucem canonistis sui placens errores calculi. Iaque de sua falsa rararione prosinuum e trans
huosarum monici non resipiscunt. Sed qui anno 157 9 fuic edirus inselicicer canonmeus Machemaricus;
lura secunda recoenicus majorem forcassis apud eos obrinebis auctoritatem.
POrrO