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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 119v, page id 00068200:0240
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hac ergo methodos nihil poterit extraho, rectius faciemus resum enius aequationem:
v2 (4
49
F h4 (V seu Xetia
le
(7 se l m + m  2 t debet
debet
ergo Xl (+ m) esse quadratus, seu psm)+ gma an,
sive im 1 sel - n. Erit ergo Xt C m +mn sive, et  sive
Th  se l - he L
fier: molu  - hel
Nto - 2sl n + nt, Xelm - n pone N, np
e.t (- np) (+ 2) (+ no) (1)) a-n
pro g substituatur 4, fet conferanturue- h 
qu1
tur st
2
+ 1h lY + r, unde sit aequatio: erit n p hl +r, et fiet
aequatio hlx + rel e p - 2blF - r sive
29
per
h13P + rpl2
Equ
eritque h e eq -, ra - rpq
l’p talrq
p q + hl 2q
Sumtis ergo p. g. r. pro artitrio habetur h, per h. q. Y habetur n. per
nx et P habetur N seu  Elef - f el, Cum enim f sit arbitaria,
25.
tantum pouendum fB es, fiet -ile -e  jive - e25 = e5
et 2 es
1 + 25
np 17
Quod statum efficitur, ponenda tantum p, supra positum pro marbitrio
esse huy valoris. Cres cs
mador
masro
1 + 25,  hl er.
F R4C pal- 2rpl qu - r 3. B.
V p + 4 lr qu
tret aequatio -res-s
142 5
C
12
 P
caetera c. 5. g. Y.
puncudoque reet er pp ex
X- 2ette n qu ettr B + ut
L3
Et v. t. 9. 5. B.
idrevius forte res absotvi poterat resumta priore aequatione, ponendoque
primum inventa: D ae 14 8 et ponendo N  h W,
Rectius aequationem  sumemus. et +2627 4t
si XYZ, tunc ponetur e2 t. Z+
NI
et
L,2 X - 75
est IX = Cn pX. Ergo X = C 2C X. ad dendque utrobtue C, fit X , ZCX + C
poncnde. W  et 2X + C, p quadrato Y, sive X e ∞  1 7
fet X ( et y H X- w
ec
ve
y 1 X - y
C1
et ponendo W y yvB fet
an  Reotus Male, nom yec 2
 sive 3VI
redinlegrandum.
q
X2, 7 2CX + C  ponamus CB) V, fiet X  17l+ eit
Jamque ponemus XV e
ea
. 2716 + d, fietque: 2Yl + 2Y le + d 10.
 sive, G + cd2CB +g
alxip
= Tp.  ponnde r 7 et, et qu,eY
(X
1 ex + 4l etqu
habetur ergo ex pure et rationaliter
signo (
c ab, peti ed) co eu 2c F 2Cd) unt id quodem ut hpal ri us spr e