# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0383
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0383?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 194r, page id 00068196:0383
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 193v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=383
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000383.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.81
# 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.

Nonamus equ. esse edx + Vxdx + bb do + nXVdo + 2oCdx + AC XAx = 0
2 bb
d0
posito v = 1H AEO ADIX AIX + B X + 24 X er. Nam ita explicando aequadem
per V, fiet manent 20, 3, et, indeterminata; et per has inveniuatur
2ubb
2
23, 24, 25. modo praescripto: Quod si haec aequatio posset resolvi alium haberetur
desideratum. sed hoc video non esse runus difficile ipo magis ipso quaesito.
Et revera video video cgeeralem determinationem ipsius 23, 24, 2), elae per 20, 21, 22 detere
pendere ab aequ. generali aresoluta CDdx + vxdx + bb dv + nxvdv + pdx FgXdx Z0
Hfinc patet et ptiam additos mnus litem terminos unam ex literis solum alteram
quae certam ex literis delectam cum sins affertiantbus solum continent, non augere
dificultatem contineri sub generali sed quid si jam invertas rem, et estam
nodam aequadem explices per V. faciendo _ X = 30 4 31B +32V e tc. d
Yax yxax Xbb dy + nXydy - axdx = 0
Redeundum tandem ad ipsius serieiactua i aeq. prima,) actualem
sed nihul hune fructus.
extubitionem  dissuntando tm explicatine cipsorum 10, 1, 12.  Et sic
inveniantur 202 13, 14 15, Explicatione facta rideatur an termini, qui involvunt a
S
simul additi per se sint summabiles. An aut an non quia infontit, se infiniti sunt,
quaelibet serres infinita sit summabilis, si ita ex infinitis illis seriebus, fiat nua
seret, qua X ipsa lande sit summabilis. Ita residuum quod idem est ac si a esset 0
habebitur per feriem curvam illam simpliciore cvax + oxax+bbdo +arvao=
y = 10+ UX v 12Z + 3XX
dy =1. 1 +2. 12X +3. 3X F4. 14X et
sit bi) dx = by 10  MX H12 X + 13X 114 X + 15 X
13=
+Cxdx = 
c
 414
ay = iai iono (1o313 1 Atagus 10b.b
11.t1I. 11. 2. 12 1. 3B n A.  11. 515
1. 1.1I. 1. 2.12 12. 3.q 12.414
13. 1. 11. 13,2. 12 13. 3. 13
11. 1. H 14. 2. 12
15, 1. 11
rss2 = - B11.bb + b0 e = a, vela 1 = - b si ponamus 10 = 0. tabitur
13 - bB non 1 Da
fiet = 11 per aequadem quadraticam,  sed si velimus aa per simplices
aequationes, s sit. 11= - b. fat (bb) + C + 10. 2 12 (+ 1. 6b) = 0 seu 12 = - c: 2. 10
et 1= b  LCb: 210 + 10. 3. 13(= b L. B in -c:, f. 10 seu) + bc: 10 seu 13 = = bc, 2.310
et -bbc: 2310 +10. 4. 14 - b. 3. = bC; f.310 + Cc:, 2. 1010 - bc:9 2. 310 -b. Ergo siet
14 = bbc : pt. _. 919. 10 = cc: 24. 10
e
Predemi erqu ad effectiva serenum ex hibitionem