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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 375, page id 175906937X:0399
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=399
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000399.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine
# Lines: 63 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.

BC
DC
C
ex 3a la.
ndi li.
ad FB
caps
X AaX
L AAX
BD
F. D
HEB
A0Cdl
Sube.
DE MON SFR A FEON LBUS.
per 47 primi
ABD. bC
SubEr. Z
HED. vV
Suber.
37
XX. DBC
yy = 2y V. FVV. DFC
DEB. bb = vV ∞ XX- py - 2yV- VV. CIEB
del. uerinque vv, d
EanSE. bbeC27D 2DCDE. ABC =BDC FBD
dir. utrinque per 2y
27V ∞ X X = yy - bb +
1X d - yy - bb
FFV∞
Ouarendo itague v per 32 latera Ali D B C, emanat hinc
Prop. T2 secundi libri Fuclidis, ac praererea quomodo hec ipla
debeac adhiberiur inveniatur E. D.
Ouare erit
divilo utroque denominatore per 2,
-
bb = CC = a a X ~ - y y - bb
institmatur musciplicatio percrucem bby - = C6y = a aY DCX X - c7y - cbb
ErAnSF. quanritates, ut, quae in bb
ducta sune, ab una parte habeantur bby + - 6b b DCX X + a 4y - c7y - 6Cy.
div. urrinque per y +c
C ∞ X + 4 aY - c9y = c0y
X Ftbb ∞
y
+
Duplicicerigitur invento bb, habebitur aequatio
inter 2uX = aYy + cC~ = a a ~ CX X + a ay - 0yy = c CY
mult. per crucem
A X X y = a73 + C6Xy = a A X Y + a6 e X = 467) + 63 X = A AC X
D
CX3 - = a4 X y - 6X y7 - 6CX y -- aC X X = a3 y. + aCyy = aCC y
eranspolitis transponendis, sic
2a C X X = C X yy + 63 ∞ = 6X3 = a a6 X = 266X y
D
2A 4 X 7 + 4y3 - = aCCy - a H X y = a3 y = 2 a C g. y
dir. uerinque per 2 a x F yy + 6C - X X = a a = 2Cy.
AD DC ABBC
etiEguC CX ∞ a y. HIOC es, erit vec ad y, ita a ad X.
u
Oux terria eA Propolitio li-
bri sexti Fuclidis.
ETine
ac proinde x ∞, e = ∞Y.