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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folio 17r, page id 00068051:0033
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 16v); this page is its right half.
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Metuebam ne x fieret constans,
non evenire, nam N
fit   Z- vn Y.1
b81
re sumamus securitatis causa.
V = VX + b sit X = mZ + nn: Z+ p
Q+ nn Y1
43 44
X = m Z + 4 mnZ + 6 mini ZZ+amn Z + n
L tap E + 6pp Z+ qpEF pF
+bt. +4b p. +6 b pp. +4(Ep. +b: 77 + 2 pZ + pp
ex plmo
In numertore aq. 4. tollamus duos terminos infimos, et fiet n + b p = 0 seu p = nn 3 -1: b
pursus ex perulbium +nin + 4bp =0 seu m = - b p: n. Est autem B3 = pt: p = - p : br: p
2
catens riguex 1et 3 fit = 2nd Z +grinu Z +6 mm Z Et 4mn Z+ n
Ergo p = = n: (39 = - n Y1: b s1 = - n 7 - Y -1  - b3 = Ex
n:B Y de  in -1 sed Y de Y-1 in Y est
 de, S-. in J-1 = 
2-1 et fit B = n V-,: b = - n: b ,
Ergo m = + b: Y-,  vel = b , D sed malo retinere priorem
quippe immediatius obtentam et tutiorem. ino certissimam.
 Nempe mn +  6p =0 Ergo nn + b p: p = 0 Ergo mn  N: p=o
ergo mn = n: nnd - 1: b Ergo m = b: -1
M + b = 0 nam n = - (+
mnn = mnn:m =  - b nn X1 : b = - b nn V. 2 Ergo nnn + b+ p = 0
b2p = (3 nn -1
Gmran =  n bb = -1
14D
2a
bN= bp. p n p) Ergo nmn + b pp
bpp = st n Y1: bb = bb n 11
sed 101 +  = c
-
Nam f-1 in 1- 1
nun fit vel 2.
= -1r vel +
aq.
bb nt in Y., + F
quod sa a t in Y- 1 ponatur esse -1 frest
-1 +  =
8 - 1 + 1 = 0 Videtur autem hoc praeferendum
quia 12t Y., c seu L idc Y.1
fecimus )-1 subtato vinculo Quid si feci Ergo et haerursus tantum vinculu
-
-1
tollemus an (2 1 quaeritur. sed si velim, quadrando ducere in se invice
2
em
c
q
4 414
fiel: tEs
-, sunamus esse Y1 e fiet mmn = n b: Va et b pp = bb  Y
et  et fiet minn + bB bbn in sE HL =
+1
 
et fieret y = 2b nn Z . 3+ un d :b et X= , Z +nn, ; q+ na . 1. b
Et
 X = Z + nn  -1  + nn d--: b. Ergo nnhil actum
es esti
pan p fecet ostri codta desderata
sed tamen id vedeo
V+1 +
+ 
=0 vel
7+1