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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 273, page id 175905688X:0295
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=295
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.75
# 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.

i
2
eris
siei
cen
1C3
d
e
DmBE
GOMMEATARLL EN LTDRAMIL.
∞ X  a a -  a Z - 77
273
CE. F2 ay + 2Z y - 77, Pro quadraco BF.
Hlinc cum habeatur aequatio inter quadracum B F bis inventum,
invenietur, ordinata aequalitate, y ∞ 2 2a = 3 4 2 + 2Z- 2 a x - 2. X
FAojam DN ∞V, d NB ∞S, crieque F N ∞ v= y. F quibus
ruxlus facile est invenire quantitatem y, suppositis quancicatibus
v X s. Si enim a quadrato BN. SS abstulero quadratu FN.
vD = = v 7 = py, remanebitss - vV L E Vy = yy, pro quadrato
BP. UInde tacta aequatione incer hanc summam de posteriorem
duarum praecedentium habebitur y ∞  20- xx + aa + 2 a2 + 22
2a  2Z- 22
Duibus jam inter se xequatis, e aequatione de x x ordinata,
ACE X X ∞ = + aV X F 55 L
vvZ
+aa + =a a v
+4Z +  a vZ
27
ul
297
ab
Porro ut inreniantur quantitates vec s, Posit a x ∞ f, mulcipli-
CCtuF~ - f∞ O peF X = f ∞0, de HE X X = fX L ff∞ 0, seu
Xx ∞ = Fx =fF, aequatio ejusdem Forma cum praecedente. LIn-
de, comparando secundum terminum unius cum secundo alte-
rius, emersit v, hoc eAt, DN∞
244  3 a 2 + Z2 = Z ∞
DI sCu a F Z ablaca relinquit N P ∞
a + 2. Ouxe d
2 
a + Z
Denique cum lI-
nea NO vel FB _ linca NM eandem inter le rationem ha-
beanc, quam linex, qua retractionem vieri D BR menturant;
ee quidem FB ad NM sic, uc B Iad IN: Superes ur d sic ad en
SICUEX adt 2
a Z X
Fetic, mulciplicando extremos, tum medios
a f2 ∞ e x. Unde, relolura aequalitate, invenitur FIL seu
∞
a e
Cui si addantur DFI de TK, hoc est, ? a, habebitur
Nm
DB