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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 77, page id 175906937X:0101
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=101
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000101.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 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.
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# After the first blank line: the recognised lines in reading order, one per line.

qualionem
quadel.
eosH
62i
 voui
+ b35ib
CXI b6.
a c o
lectoI
CerritC. t
∞bus
eb, poiclte
uas radices.
OnUI Gtac
ITCO CATII
lx34X F
1 - b. VN
A O U A F L O N U M.
C A P W F VITI.
De natur a  constimione squarionum quatuor dimen-
sionum, secundo termino carentium.
ones HX reduCUntur ad sepFem Formas sequentes;
X4 X - MM X X -- B3 X - p+ ex O.
X+ X - - M M X X = n3 X -- p+ ∞ O.
∞t X  M M X X = B X - p+ ∞O.
aet X -  M M X X -  113X = p+ ∞ O.
X t X -MM X X (- n3 X ] p+ ∞O.
∞ + X -- MM X X - n3 X - p+ ∞ O.
∞ t X = M M X X - n3 X  (- p+ ∞ O.
+ Proposirio.
Ad cognoscendam naturam de consticutionem primae propo.
Citionis, tat ex mulciplicatione duarum x - L b X X -- 0C X L d3 ∞0
X x - b ∞o haec aequatio xt X = CCX N L d3 X - b d3 ∞ O, GuIX CaH-
-- bb + b06
dem habebit FOrmaM AEGUC PTIIA PFOPOSIEArUI X + X =M M W X
L n3 ∞ = pF ∞ O, aC Per COnSeqUeNS CrUnE CjUIIdeI MaTUIEK _C CON-
Ricurionis. Fiat eroo adaequatio, et ex collatione certiorum ter-
minorum habebimus m m ∞5c f bb, hoc est, c0∞ m Mm = b b.
Deinde, comparando terminos quartos, erit n3 ∞ d3. f bc6, hoc
CA, rellicuendo ralorem cc inventum, habebitur d3∞ n3. L b3
bmm. Unde comperimus, cognita vera radice b, hanc aequa-
Tionem x3. Lb~x L n3 ∞0 tribus reliquis indasandis inserrire.
M F b3
bmm
Praeterea, conterendo inter se terminos ulcimos, habebimus
pr ∞ bd3. Unde sequitur, d3 Xquari ; ec inremta verd radice b,
hanc aequationem x 3. F b X N = M M X + , ∞ 0 ad eres reliquas
quaerendas adhiberi posse.
L b
PrO-