# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0377
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0377?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 353, page id 175906937X:0377
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=377
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000377.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.82
# 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.

1o
4.
co
353
eracc c es fet ao rem quaelitam x leor(uI HON ex-
hibeat, iplam tamen ex tribus
prioribus, qui quidem omnes lune
cogniti, inreniri posse. Id quod
similicer de praecedenti dc se-
quenei formula aliisque est intel-
ligendum.
AC vero si ipla x quarto loco
Separatim delideretur, licebicul-
terius sic argumentari.
atlaud secuS, Cum SIE
UE a adt b, ita X F c dd X -- 6,
erit invertendo a
UE b ad a, iE2 x = 6 ad x F 6.
ee per compolitionem ratio-
nis contrariam b
D vide Cla
vium adt 18
ucb adb = a, ICd X - c dd 2 X. quinri.
TTinc CUIM A-- b -- b...-.. b + a
sine 3 magnicudines ab una Parte,
_ 26 X- 6.000 000 2d
tres alix ab altera parte, quae bi-
na in eadem lunt ratione, qua-
rumque proportio es ordinata:
crune ipla quoque ex aquali c per 22
tate in cadem ratione, hoc es, quinti.
a-- b ad b. F a, licut 20 ad 2x seuc ad v.  d per 15
quinti.
erit Ut a adb, Ita c - X adc- F N. 0b C per 16
e componendos
ut a. L b ad b, it 2 2C ad 0 p. X.
Lis cum (IE
sedti.
a ut a ad b, itac - x 2d5 F X,
erit invertendo s
E per 18
quinti.
S per CoroI.
uEb ad a, iEaC- L ∞ ad C -x. 4 quinsi.
e per convertionemrationis  l per Coroll
utb ad b - 4, ItaC. F X ad 2∞. 19 quinti.
LLIn
DE ML ON ST A A YTONIBUS.
aumb.
Ec ib ∞
SI SIE AC F a X D bC = b v:
addico uinque bX
erit ac + a x L b X  b6
dutetacul ucttis ab
cruque a da ADCAC.
dividatur uerinque per a L b
à PerCorol.
quo
EIE X ∞
C- ab
+b