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# Title: LBr. 437 · Huygens
# Folio 44br, page id DE-611-HS-3595205:0091
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3595205&page=91
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3595205/jpgs/default/00000091.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 114 lines, status machine
# Lines: 114 recognised, mean confidence 0.72
# 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.

ey
sequatios
dis
du-
ax: X 4
du: y
probe
LXC
solvenda mihi proposita (3) ab fugenio)
IC
1C
90
10.t 2. 10. I1X + 2. 10. R2
 2. 12 X + 3. 134
t ita
3
l
curbamqus ero
3 dx: x 4 dy: yc.
A
sa
2X dy + 2ydq
  2. 10. 13 43 + 2. 10. 12
1. 11. et
4 e 14)
2
+ 2. 11. 12 X
eu
10. I1 + 10. 12X + 1. 13
3, 10 -3. I1X _3. 12X b
4
H. H1..
3, 13
8
12. 12
2. 1525 et
A2. 12X ~ 3. 13X. =4. 14X - c. 1.
 d a
45
+2. 1014 X
2 II. 12
2, 11. 13
et 2 12 2
2. I1. I1( T2, 11. 12. 2. 2. 11. 13
et fin ny 4. 5. 6. 7 pro x ponatur v. fiet ex =av.
ea
cest
Eus
2
e
2
c + 13X3 et
+ 12.12. 4 Y et
4 1014X eri
= 3.14 
2, 10. IIX 4 2, 10. 12 X 4 2. 10. 13
2. H. II
s
+ 2. 11. 1)
IY. 12.  11. 13..
3. 10.(0 42. 2. 10. ((X 4 2.2. 10.12 X, 422, 10. 13 Y 12, 2. 10147
17
l
est disse
centinlis
psim s
itm
ta
cGparando sit 10 =0
Ergo et 11) =0
rnde res pon
procediqu avine
uitur X non posse
incipere a ab infini
et parsto
a et ex 59, 3 pel fiet 2yAV+ vay + adyue F 2 vvydys +aavydyrraaydy +21∞ a +2ya dpo
Ergo = 3. 10 = 3. 11V - 3, 12V = 3. 13Y - 3. 14V - 3. 151
= a V - 2. RV - 3. 13 p3= 4. 19 V4-5. 15 V.
 = a. 1 - 24, 12V-3d, 13V - 34. 14 Y3 - 34. 15 V 
(12)
il
7
seu 3ydx  Xdy = 2XYdy+ 2 gyxax. Sib y =10+11X + 12)
da= yy
et Ergo
Bt
.... .  = 42.10. ICV 42. 10. 12 v) 42, 10. 13 V
2, 15. 11
2. 11.  VV
+, .-+4. 1B1. a044, 10. 1248+ = 10. BaV.. ex
ACH. II
q et
4 4. 10. H. _4 +2. 1013a p- L. 10. 13a
LII au aivitra mele
∞. v F2.10,∞ +2,2. 1. 11 ∞r +2, 214(V ea
2. 10,10a+22. 15. 11D etC.
H2. A. H. D
34. 16. V.
4 2. H. 15V
1
 1. L.1V
12
unde patet necessario, ut res possit
propeder, po ganis quam X
clebene incipere non a minitmo, sed
quidem plab, a (posito v-0). Vet
ad la 10 posito p = 00b aequalione
q
C
Cortecta ponendo vplo R.) natio est quia  vel 10 velad
aqualio 12 Exiu
possint a et 10 asse in
non invenit dc cacero
proarbitrio