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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 72r, page id 00068049:0143
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 71v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 101 lines, status machine
# Lines: 101 recognised, mean confidence 0.75
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quia ergo ne sic quidem
2 4
= s8
apu
thllco
+pb
seu
4hh = +h = th + 2h - 1
X2
res ere ceoit
lc p + l0o = + lae
suo did Ganteis
ita =
3hh - 2h - 1
4p8
-2hlc
8
+hlco
+ p8
+ 129C
+
o ceo agaaque hoc modo.
q
1a
12 4
la= 2hl a + hCa  + 4 1 p q Thipaore
4 p8
et fiet n.t = co -kco p
et n: l = -co + 2hC - RC - 4p q: 4hpto
et fit Aco t co + ch co Hc
4hC h.1 = co - 2hco + h ct + 4 pt q
Co 4h. h1 = h i = 4p  et  co = pqFE:  ohiha rh- 1
et n = 2l p 49. Y 3tih - 2h -1 p et Em-
et lnco = 2Upp gq. . . p pg F2. . .. et m  2 sa: Inco - p I. . V... p. Xll4 12
et PM n c p q  Ha 3th - c Y3tr. et pp. 1Eg 2 alg. 5 hb- et p ppg92: S3th en P 9
 l’n n’p q = H a 3hh. et Y3hh- e ph: V q2 4 g: 3th. etc pl pp eq
 pro 9 pore 2f
et ita evanescunt costantes indeterminatae peraeter E
si  ∞q. C fecissemus fAhl cot = 4 l p  + 4hl p con
fieret a LaX ob 5g. 8 1: n = ht p c0: hlo  - p2 94
et ex aeq. O exhorcudo sit  1c hlco
n.l == 24
le- hla - Hco
2p7
n = lco + hlc = +Ico Lhlco et faciendo + = - fit n: 1 =.  0
262 2p4
2p4
sed si +- + fitlin -   P. c0
seu hco = p 4 seu h = ppqu : cocd
et N = Ip 9 Eppgqcoco - lp q: pqc = lcoco - lppgqu: coco
et m = 2 sa: C In Co = 2 a coco. a Ico_ - Pp 4 4 = 2co ta: Meoculpiq
et Imnpq = Lr2 o sa: Uoco - Upqqu Leoco - Ipppg: Coce p9
sil  seu n = C - b M: C+ B
efficiedu ergo ut tom ee - bb
sit quadratus quam ee + bb
ea invenire 2 quatralos quom
summa et disserentia sit
Ce + bb = eet revt vV
fit _ e = bb - Y p, : 2V
Ce - bb = eta ee-2et+ f
eu e = bb + tt : 2E
et fit bb+ FF0 2V = bb- p. 2E
sit seu fbbV+ IVEt = X+bb - 7FDV
si diudatur haec equatio in duas nempe
bbx = - + vB et vt = bb
qua ab surdum
2p4
et duos ipsius lin valores aequando fit (hco th co = (hC- p 
finc n= CEVf
et a = C- b +
quadratus
v.g.
+ ttco C-2f
m lorc
e
2 p9 ta :c0
jua demum res videtur exitum habere
Methodus
y. a - 25
Nh + a
W=
y= nti - a
2a = 2 mt 1
go M= n devec
. Qutatratus
Sit M- p = bC
m+H = eC
sie 2m = b etec
2h = _c - bC
ee ob = et retttq
fit e - b = e+ b qu et
sin 2Vb94 = bb = bb9g. fiet b = 2994. 1 = qu et b = v. 49- 1: 2
unde idem absundum sit 2vb  - v + qq0Y sit b = 2b: 49 - 1 tursus B = b. 1- 4
nusus iblurdam
nam fit 4-1 =0
rn 20b+ 2bbgq = b - v - b q. + 9auB ubi non procet i duas so ilerans a litera, pro s ima est depriciens 2VD = b = b qV
294 -. [20299, quod impliss
seu bc Bi (t 44 = 49uB - v0,: 2044. sed 16 fr evani sat B et sit
e eq4b+ e = b+bq = b v
D
1.q