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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 292, page id 175905688X:0314
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=314
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000314.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.83
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

F R AN CZS CF d SCHOOTE N
+aa - a X-  x x in locum Z~
e -= a a  a X
de addatur L bb:
a
in locum = a Z
ExturS et aequatio = = aa = bbX L ~ X ∞ 0, vel X X ∞ = a a = bb,
cujusradix est x D V = a A = bb, vel x ∞ = V = a a = bb. EFFC
prioris radix Z ∞ : a - V : aa - bb, vel Z ∞; a. + V = a a - bb.
ut lupra.
Denigue, quoniam tollendo secundum cerminum A:qua
 + a Z . F bb ∞0, ponendum cAt
=a ∞ x sIrC Z∞ X = a ee subrogandum
ee
aeque addendum
XX = a x + = a a in locum Z2
 ax = = a a In lOCUI - L 4Z,
L bb.
producetur ae quatio x x F - = aa + bb∞ O, velx x ∞ = a a -- bb,
cujus radix estx ∞ V = a a = bb, velx ∞ = V = a a -- bb. Unde
radix prioris AtZ D V = a a bb = a, vel Z ∞ V = a a bb-  a.
Oux urraque hoc casu est Falsa, _ hac eriam ria inveniri porest,
nimirum supponendo Z designare quoque defectum alicujus
quancieatis, quae major sic quam = a, urpore ponendo Z∞ - = a- 
 substicuendo
e
tum addene
+ = a a  a y
Zaa = a )
L bb
 y9 10c072
10c0. + 42.
unde provenit equario -= a a- = b b X - F y y ∞0, vel py D
=aa = bb, cujus radix est y ∞ V = a a - bb, vely ∞ = V = aa bb;
aeque adeo Z∞ - = a- V + a a- bb, velZ∞ - = a. + V + aa 3b.
UE antC.
Fadem ratione tolletur secundus terminus reliquarum Aqua.
rionum quadratarum pass. 687, quae similiter hâc opcratione
eo reducentur, ut ad iplarum radices inreniendas haec regulaluA
cere rideatur.
mellise. Verum muter amarecenaum ett, quod, licut Aquacio
qualiber Ouadrata compolica sublatione secundi termini ad a
2 aequatur educitur, in qua duo tantum lunt termini, sic nulla Cubica
uobus au se f, pluribusterminis constans, (ex guibus 13 calus conf
cipol.
gationes.
in quibus