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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 358, page id 175906937X:0382
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=382
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000382.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 69 lines, status machine
# Lines: 69 recognised, mean confidence 0.87
# 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.

x per 15
quinti.
E per 17
quinti.
DE CONCTNHANDIS
multiplicatontr Per a b VEa = b ad b. F a, ita 26 ad 2 X.
exitque ac.  a x 1 b x ∞ b6.
X vide Cla- addatur utrinque ac
vium ad 18
Y per 15
quinti.
2. per 16
erit etiam
:hoc elB, HL SEUE a - b 2d b F a, i12 6 ad X:
V vide Cla - HiE ac -  a X ∞ bC = b x.
vium ad 22. auferatur uerinque bx
quinti.
quinti.
lexti.
erit ax L b x ∞ bc - ac.
mulciplicato utrinq; per a L b
Bc- ac
erit ac-  a X ∞ b6 = b X.
id est, reducendo proporrionem
ad aequalitatem,
uc a ad b, Itac -- x ad c -  X.
d dividendo
UE a -  - b ad b, ita 26 2d c.  X.
vel, sumpeis consequencium sc-
missibus, u
UE a- J b ad 2b, it2 26 2d 26,-  - 2X.
id est, per compolitionem ratio-
nIS COntrarIaI, 
ut a - F b 2d b - a, It2 2C ad 2X.
erit etiam y
Si SIE N ∞  F B: hoc est, (I SIt UE a - F- b ad b - a, ic ac ad v:
Crit Z ax  ac ∞ b X =- bc.
id est, reducendo proportionem
ad aequalitatem,
UE b ad a, ita X -  C ad X - c.
a componendo a
ut b - a ad a, IEa 2C ad X = c.
vel, lumpris consequentium le-
missibus, 
ut b - a 2d 2a, IFa 26 ad 2X = 2C.
 est, per dirisionem rationis
contrariam, 
Acb = a 2d a.  b, ita 2C 2d 2X.
esICCFIaM a
SIIIL b - ∞x: hoc est, sI SF uEb - a ad a F b, itac ad x:
ac
Si CIE X ∞
5 per 16
Sedetr.
a per 18
quinti.
B vide Cla HC AX - a C ∞ bX = b6.
vium ad 22 auteratur utrinque b5
quinti.
C vide Cla-
vium adt 17
quinti.
a per 13
eritque a x . L ac. (- b0 ∞ bX.
ddatur ucrinque ax
eiteab b60bX
mulciplicato uerinq; perb-a
ac + bc
Guoet.