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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 11, page id 175906937X:0035
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=35
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000035.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.77
# 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.

Opet
Oportet
plicibus
edligua
nbem
la reto
plican.
t 
q
ucecu
eta 
caride.
candum
15 i
Det
21
dec
Guea
1t
at
AIut
NI A EHESE OS EINEN ERS AL1S.
3dd- + +dem L ee
3dd ee
9d+-  22d3 C, - 3ddee
ddec - 4 de3- et
oroduct. 9d  1200 4de et.
5ab = = aa
a - = a + b - = a3bb
+ +a b-   a 3bb- + = a ab3
15416 3a ab3 a
aa -- 5a- 6
2443-  18a4 T2a  6
2Oa + - +5a3 + TOda 5a
445- 3at - 243,  Taa
L. I
243- +  aab- + 2 abb
Mulcipl. 423- ]- 3a4- 2a L5
Per
product. 4a5- 17a1 + 7a3 + 29aa 27 a 1 6.
Cxeterum adrercendum hic est, non raro urile esse, mulciplica-
tionem hoc modonon insticuere, sed cantummodo caminnuere
incerserendo roculam in rel M. CE ad mulciplicandum 4a3. 1 3aa
2a-  F per a a - 5 a-  6, Ccribo 4 a3  3 a a - 2 a.  +
in a a- 54 t 6, vel 4a3  3 aa- 2a + TM aa  5 4 + 6.
Ouodautem. L per -, vel- per: L Faciac-, (IC Patet. F A0
ab multiplicandum perc, e SIE a = b ∞ e: hinc li utrobique
addatur b, het a ∞0 b, L e. Jam quoniam aequales quancitates per
eandem quancitatem mulciplicatxe producunt aquales; ideo si
uerinque multiplicetur pers, erit ac xb c ec, hoc est, auteren.
doucrinque b6, erit a6 - b0 ∞ ec. Quocirca cum Catuatur a b
e, e utraque parte duca inc, PrOduCAtF aC =, b6 ∞ eC; Per-
Spicuum EC, - b ductum in = 6, Producere  b6., 11 1t
Decalirer ostendetur- per mulciplicatum producere
Fcenim Ea = banultiplicandum lic per c. =  d: Ponendo, ut an-
re, a- b ∞ es erit produetum ex ab inc- dxequale producto
ex einc= d velc din e: id eAt, cem de. SCdce, ut SuPra, X.-
Quatur aC = b0: unde ac- bcm de aequabitur producto ex a. b
i C. d. POrrO cum a- b aequalis sic polita iplie, ec utraque par-
ce ducta in d, productum ad = b d aequecur producto de: hinc si
ex acb0 suberahatur a d - bd loco de, ei aequale; erit juxta
regulam subrractionis ac-bc = ad. ( b d productum guae litum.
E quibus liquetbmulciplicatum per L dproducere f b d.
li
MuIE.
dec