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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 318, page id 175905688X:0340
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=340
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000340.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 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.
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# After the first blank line: the recognised lines in reading order, one per line.

F R A H CFSCI a SCHOO FEH
2 a X  X X
2 A X  X X
2 a X3 X +
AaX X  2 a ∞ 3
+ a a X X  4. a X3X
∞ 2 a a   2 a X -= X X
4 a. N X- + + a X3 - x + ∞ 2 a a b b =  2 ab bx -  bbNX X
+  4A N 3 + +aa
BBX X  2 a b b X nm 2 a a b b ∞ O.
Ouoniam rero haec ae quatio diridinequit perx B a, vel perX 8b,
vel perx 8 2 a, vel per x 8 2 b, hinc tollendus est secundus cermi-
nUS, UErEdUCAEUE adt aliam EtCS FanEu dimeMIOneS habCHTCM:
quod tiet ponendo Z = a ∞ X
Z +mu A a Z3  6 aaZ Z um 4 a3Z,  a + ∞
e
X 4
 AaZ T2 a A Z Z I2 a3Z  4 a F ∞  4 a N 3
X
 4 a aZ Z  8 ad Z  4a + ∞  4a a X N
bbZ Z -  2 abb Z  aabb ∞ - bb XX
n 2 a a
2 abbZ - L 2 aabb ∞ =- 2 a bb x
bB ZZ
X
2 aabb ∞  2 a a bb.
 a4
a a bb∞0. Juia autem
hic post sublationem secundi termini contingit aequationem esse
Duadracam, cum in ca delc Z3 _Z: non opiis est ulterius pro.
gredi, cum radix ejus per ea, quae primo libro lunt octenla, inre.
niri postit. Peit enim
ZZ dD a a - - = bb -- b V 2a a F = bb,
eZ ∞ V a a.  = b b-  b V 2 a a - L = bb, ac proinde
X ∞ = a- V a a  L = bb - b V 2 a a + = bb.
Ubinotandum, Sipromajorilatere BC PONatUEN, Requationem
quaesicam fore quadratam: urpote.
∞ 4X = 2aa
+ 2a a
a+
bB. X X X + 4 +
=a a bb5 O, LIVCX + ∞  bB X H L aa bB) C1
jusradix est X N ∞ a a - L = bb - ( b V 2a a  = bb, hoc est,
X∞ V aat = bb. L b V 2 aa- L : bb. Cujus lanc cum praece
dente conrenientia ex ipso schemare est perspicua.. Ouod lire-
FOPIO AF, duplo minori seSIENEO, PONatUIE N, Eet AEquatio
X X ∞ - b ~ F 2 a a, cujus radix eA N ∞ - = b + V + bb- + 2abo
u
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