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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 103, page id 175906937X:0127
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=127
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000127.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.76
# 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.

 2, 4, .
le
LMuICI
in cum iaI I
eacundem ra.
de quonum
peulis renie
2FallaIIrul
um summa
in produci
aequari lum
eItuIEAC CUI
mucalto siep
 X + b
vela
Onetatu
mucacto
-bX- F- b62
0
rum radica
ione crium
S TeTIINOI
1 Mabe
unduim 1e
A O U A F L O N U M.
20
nuI -L b -L C - f esse summam verarum radicum -f. b, -L C, _ Fa)-
lx -f: e celcu terminum b0 = bf - cf esse Cummam erium
Prodelr 106, = bf, & =cf, prour lingula binx radices
in Ce inricem ducuneur; ac quartum terminum  bcf esse pro
ductum mulciplicationis erium radicum = b, + 6, _ = f. PateF
quoque, deticience secundo termino, Fallam faequari lummae
duarum verarum Fb X Fc; ec, deficiente certio termino, pro-
ducta mulciplicationis =bfe = cf, ligno - aftecta, ae quari pro-
ducto. f b0, ligno- L aAecto.
Ouartum Exemplum. Forimemus aequationem ex continua inul-
ciplicatione trium x -- b ∞ 0, ∞ -- 6∞00, _ X - d ∞ 0, quae sIE
∞3 = bkx + bCX - bCd ∞ 0. Femutatis signislocorum parium,
d
L db
+ d6
recentis signis reliquorum, habebimus x3 F b X X F A CX L bc d.
+c + b d
+ d + bc
Unde perspicimus, secundum terminum L b + 0 p e esse Cum-
manradicum + b, +c, 8 + d; ee certium terminum p dc-  db
Lbc esse summam productorum ex lingulis binis radicibus in le
invicem ductis; ac quartum terminum + b de esse productum
mulciplicationis omnium erium radicum.
Ouintum Exemplum. Fiac ex mulciplicatione quatUOF X- b ∞ 0,
- 6∞0, X-d ∞ 0, e x f f∞ 0 sequens aequatio
dt b0X = bcd x = bcdf∞ 0. Unde mutatis signis
L bd
Lbcs
Lcd 1 ba)
bf
If
terminorum, locis paribus consticutorum, retentis sienis reli-
6
quorum, habebimusxt L b ∞3 f bc x x  bc d. X - bc d f 20.
L bd
bib
obs
oos
Acque apparet, + b f. c. L d -f ese summam quatuor radicum
ascu