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# Permalink to this reading: https://leibnizlegible.com/page/845634801:0470?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 464, page id 845634801:0470
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=470
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000470.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.53
# 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.

ien
s 
t C
o co1ai. sio 
Ai Z Z ~ v∞2C
 in i su  c
 a i
ii
om
te m
e  i in 3e ln ii i
 sui i in 01 cojui ii ss in i j ∞ seout a
3
on _ m. (X = 3(3 2 18)v n2 (E ∞ 1)B GFn Cd ZZ Z F)  ∞ 5)∞ 
22 -  2
 2
i 112 3 B (co B B (h  D pB = B(13 ab 21 (3 ut Y (2 1  18 5 e0 2 B
on ∞)m.  = (3 g ∞ 10 n n a C e 0 B M m ∞)= = Z ∞ n 0) a e
E un
  2 )a n  n
12
 
2  3 ==
1  2) 8B, eot a sii a usi n oso conanasu  2)8u
ao monm- 2 30 am a c l3 10)B M m C X = Z0 02 2
.
au lun:
  2   u X 2   
   si 2 oso 3 Bsa B Pse B 2sB  esu auu p  s B )   
aa mlon = -. (X - 300 e a n a lE X _ BGm ma XlZ Z ~v 0
-
  n  2=
n ul
a2
2 nluL
s_ X + (X F  su  v si a  sio   si 1  (F  ∞) ∞ a 1  5 1 p  
0)a a a) mon ∞) m.  = 3 30l0 n n a = X (19∞) m m ∞ n = = v0
li  - la  ta aut  n un 2 = n ula  2  M 2 2 2 3
aut  su  2)8 as a s  0)u 81 s  s 2 oso 
vl n aa mon (_ m. v = B B1D enlna E  1∞(Btam a _ ZIZ 3
1u = 2l - 2 2 e  alu a n u m 2 2 : -
3
2
8 8 8se d ese 8si  resis iesio viso aous c s si
3 ∞ oa a 0) m02 ∞ in X 3 ∞00(O n in a E X ∞ ∞∞ 1 m ∞ X Z Z
2 = 2
amaensum sunen
ic auis ii ii o s  ssi  osio ois s 
Z Z. v ∞ a 2 amo 3) m. y =B g∞ 2 n = n = ∞ 1∞∞) m m ∞, X Z Z
: -- 2 - -- = - - 2  = 2 2 2= 
n 
cb  6) S F 51 a 6, ∞ ∞  a  F vo a n 0 1 co  a  F  F 6
2 000 20 ilo  .  = 3 00 0ln ma = Z ∞ OOm m9:
2 l. - 2 = - - = = 2  1 2 = 2 n 2  =  n n
E  si  2. pi i 6 s  sa  io i aosi ssi i si  isi
∞ X Z Z, 0 ∞ a a a m0e ~ m.  m B (38 6la in a E L 1 B∞ ∞
  i aluma  =
eo o a 2 v a 0
a   sio 
C, I 2 2. 1 0 0) a. ∞ in0a ∞ m. 7 a 3) B 1∞10) n in nc  1) 0∞
- 2 2