# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0154
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0154?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 148, page id 845634801:0154
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=154
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000154.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.85
# 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.

1A0
DE EM E N D A TTON F
10O- 4 Q. Y 8OON, aequatur 16OO. fit FN2. FC +. 4 O. f. 6400N, aegnatus
614400. fit 1N60. 60 + 4 fabis quadratum ab58. 19-F 8N, aequatur 20. fit IN 2.
T E E O R E M A IV.
CF A quad.- quad. = C plano in A quad. = B solido in A, Xquetur Z pla-
no- plano, e P plani cubus + C plano in P plani-quad. t. Z plano. pla-
n0 + in Eplanum, aequetur Bsolido. Tolido =L Plano- plano 4 in C planum.
Ecinnocescat E planum esse P planum: A quad. =Y Eplani =. C plano i1 A, X Gua-
bitur
V X otauca + C pano = F plaHO .
e0 = 4 0 - 8OON, aquetur 2600. fit LN10. IC F 4 O = 640O N, aquatuI
614400. fit LN60. 60. + 4 est quadratum ab58. 2O = 8 N, aequatur 20. fc LHY 1O.
T E E OR E N A. V.
CF C planum in A quadr. -+ B Colido in A = A quad. - quad., XquCtIT Z
plano- plano, _e F plani cubus -1. C2 plano in F plani quadr. = Z plano-
plano + in P planum; requetur B Solido. solido -F Z plano. plano L in C
Planum. F. Finnocescat F. planum esse F planum: VF etani x C plano i A - quad.,
aequabitur F plano :-
olia
VF Planc 4 + c. plano +
44 8 = 72ON = + 9 O, aequatur 1600. fic r N 10 vel 2. 2C + 44 9 = 6400V
aequatur 800000. fit LN 100, 100 Y 44 est quadratu abs 12. 22N =- 2 9, aequabitur 20.
fit 1N XO ~et 2.
X H E O R E H A VI.
CFC Planum in A quadr. = B Colido in A - A quad. - quad., XquetuT L
plano- plano, e Eplani cubus- t. C plano in P plani quadr. - 7 pla-
n0 plano + in Pplanum, aequetur B solido solido- TZ. plano- plano + in C
planUI. EF F planum innOteICAE eNsC F planu: V F plani uv C plano in A = A
Quad., aequabitux F plano  = ov ptu, a - c vmo g
AE4 O. = 12ON -+ 99, aequatur 200. fil LN 2 vel 10. LC F 124 9 -80ON, aequd
Tar 1O56OD. fit LH 30. 30 Y +24 facit quadrarum abs 12. 12 N = + 9, aequatur 20. fit
2 N 2 vel 10.
F. E P O R E M A VII.
EFBColido in A - C plano in A quad. = A quad. quad., deguetur L. pla-
no- plano, et L. plani. cubus =C plano in F. plani quadr. - Z. plano. p la
n0 4 in E planum, aequetur B (olido- Tolido -Z. Plano=- plano + in C planum.
EcE planum innoreleat esse F planum: N Fplani =Oplano i A = A qua d., de Qud
bitur Pplano;
1440N = 16O   aojaddat 2008. sot H2 vet 16. IC = 168 = 11200N, aequa
tur 1894400. fit LN160. 160 -16 facit quadratum ab5 12. 12N = 2 9, aequatur 20. fib
 N 2 vel 10.
Eguraate esscas Metathelesperlequi, quum adfectiones sub cu-
b0 eranelcant expursatione peruncias quadrantes: FLxc itaque lunto latis
Luperque.
r vuua = Crmoi