# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 357, page id 175906937X:0381
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=381
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000381.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 83 lines, status machine
# Lines: 83 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.

ie
nis
EII
1Cd.
ere
AII.
nis
ve
etre.
et
d_i
si
DE MOMSTR AFTOHEBUS.
HE a X ∞ bb - L bx.
addatur utrinque bx
critque ax -b x ∞ bb.
erit f a x D bb - f. b X
id est, reducendo proxorrionem Sexri.
2d aequalitatem
ut a 2db, ICa b- f ∞ 2d X.
mulciplicetur uerinq; pera. b eric componendos
Si GIEN ∞ =: hoc CAt, BIAIEUE a - b ad b, ica b ad v: +.
Fie a X ∞ bb --b ~.
auferatur uerinque b X
Crirque ax L b x ∞ bb.
exith a V ∞ bb = b ∞.
id est reducendo proportionem soxri.
ad aequalitatem
Ut a ad b, ita b = x ad X.
mulcipliceturuerinq; peca +b erit diridendo.
Si biL X ∞ p. L. B: hoc CA, ASEuE a - F b ad b, it a b 2d v:
EE A X = aC ∞ b X.
auteratur utrinque a6
exitque a X ∞ b x  a6.
addatur utringue b X
CriCax = b X ∞ ac.
mulciplicato ueringi pera-- b
hper 10
eric L a X = 4 c ∞ b X.
k per 16
id est, reducendo proportionem sexti.
ad aequalicatem
uc a 3d b, ita x ad X = c.
et componendo
UE a -- b ad b, ita c 2d ∞ - 6.
erit per diritionem rationis
COAETALIAI n
Si CIEx ∞ : hOc eAt, (I SiE uE a = b ad a, it2 c ad X:
erit n AX = a6 ∞ b x L bC.
R per 16
id est, reducendo proportionem sexti.
ad aequalicatem,
ut a ad b, ita X L c 2d X -- 6
e componendo
UE a = b ad b, IEa 2C ad X - 6. Gu
vel, sumpris consequentium se-
missibus, p
Ut a b ad 2b, iFa 26 2d 2X - 2c.
id ett. per diritionem rationis  vide Cla-
Contraria, 4
E per 16
5 Per 18
quinto.
A supra ad
AOlatt f.
1 Per 27
quinbi.
1 per 18
quinti
EIE BX = a6 2b d - = b6,.
auteratur utrinque ab.
ericque ax ∞ bx. f. b6. +-46
aadatur utrinque bX
erit d X b X ∞bc - F a6.
mvideCla
vium act
27 quinti.
0 per 18
P. vide Cla-
vium ad
22 quinti.
vium ad 17
muL Quinsi.