# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0394
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0394?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 370, page id 175906937X:0394
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=394
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000394.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.86
# 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.

DE CONCLNHANDES
Ex his Facile ell, cogniris AD, DB, _ D C, invenire DF.
Si enim, exempligratia, AD sIc 39, DB 45, _DC 325:
EatuE ZDC 650ad D C- AD 286, ica D B + 5, ad D F 197.
T E E O R F M A.
Tisdem policis, dico rectangulum AD C una cum
quadraro DB aquale esse rectangulo ABC.
Series Analyseos.
FAO AB ∞ A
BD ∞b
AD ∞C
BC Dx
DC Oy
de DF ∞Z
Eteni CUI a 2D BD FSIE DHI AD L BDB. =B AB,
id est, 2bZ ∞ c0 + bb - 44.
eric, diridendo utrin que per 2b,
Z∞ Ec + bb = aa
EInde cum per antec. Pheorema inventum quoq; siF.
exip cc = Bb = aa by = bc
To1 Per 2, inticellatur
mulciplicatio per crucem
aul. utrinque a a y
Ccy + bby -aay ∞ bby - 00
CCy. + bby ∞aay. + bby . bbc
coll. utrinque bby
667 ∞ a4) -
add. utrinque bbc.
667-
1oco a y Substit. CX
C6Y. F bbc∞ aC X
dir. utrinque perc
DADC LEDB DABC
-b6 ∞Z
UE AD ad DC, ita A B ad BC
ac proinde per 16 sexti
X.
OAD, BC ∞D AB, DC
CX ∞
a
EcHc cy. F bb ∞ ax. Ouod erat propolicum.
Ouo autem pacto in adaequatione hac resolvenda argumen-
tandum lic, ut sequendo reltisia allata reductionis, quae ob su-
Periorem mulciplicationem per crucem proprie Alsebraica est,
qua-
2 per 13 Se-
cundi.
Sivilo utroque denomina-
Ex demonstraris in antec.
Cheoremare vel sria Seuri est