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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 283r, page id 00068201:0565
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+ d
YXro 3 nb
+rt( bn
qX HgnCinb +2 qb +9b 1B) bn
PX  prb 3ubu s0 n b
 bn
16 n b2
x nds ) nb ++nb 1Obn + 6 ub +4 bn fb. + ten s0 bn
r1Bn b
19b....
3pnb . . ..
cd +nb .c.
Cd 462 -  ....
0
Y 15 bn
qn ....
3p2b.. .-
rb....
cobu ....
17. D
Ponamus primum coro. et pa. fiet:
t
3atb 1 9b +Y rign + Y. unde fieret n p b. et 3r qb r
et fiet: b + q b + 4 B 1 + 4, 9Y
restat secunda aequatio:
2
1
2b
e
4,9
4, 9 
b + qb +5 2
 et bp 4 + S ∞ (4, 9r
fqb4Y. Ergs ( qbd sa, dyb 2br
+3a
Ergo b S sa 11Y, qbar
Ergo  134B)  2S e Cb  2br. Ergo b2 435 + 2bY
4+ 1974. 9r
si 2, sive
Sonendo jam rr 0. fiet: +95
Stepetam calculum emissa re
3
X ei b + B. Ergo A B 3bB h
bB
que q
s9 N =9 br
ergo -95 + 6br 7. 14b4 Ogr, et erit:
b1 + 95 - 1qu
19+ 6Y
s
92
27
15
Sed quoniam sic nihilagitur, ideo ponamus co  1. et compositis inter se duabus aequationibus C et D
s frei : (a) bn (F n B 3 enb) + 9b (+r e (b nde (n b 2  pnb) 14u62) C ine ba - 
a
s
i
sive 3bn a3n b + 464 gn   sive dividendo per b .n, fiet: 3 3bn 41
ngO
duas autem praterea aequationes habere necesse est, unam: -(4qb = an -2p4 (+ 9b) +r
sive- 4b + 4, = 1p9 + Y ( 0, sive - 3 9b + 9-9p9b + grb o quod non potest non
ob succedere, si G est quantitas affirmativa:
Supeaest alia adhac aequatio: - a b  - p4 b - q +64 +ss due erit:
5b
- 3, 469 - 3p17 +p4 +69b + 95b r et ent b , - pg -69b- 9s lut 9 ex 9b+ orb
14 
+ 4= yeg b
gr.
-4029pqor 169 19s l 21qb
80 (9
su prest adhur Aliais quationin 24)  - p 4- q (+ 69)) itaque alteratrum necesse est,
3
adhuchabemus
foret enim vel M.det b. a vel denique ut sit Re a. sive ut absit aequationis quadrato. quadcaticae
tirpolitae terminus secundus quod facile effectu est sive + pqst - 3p9b 9bs. Hce 2
 b +7sB +ag 3s + 3xq et b  b - 3s+ S9SAB. ubi
4
9 e
ateliderpater, de ber ese tut qu finnituon uut int vtua ter 9. nasi em uno tem duniolo gumdruso ab s.
y+ pRy
4
_
d
En... imx y - 4h y + aY
+29nb
apreb pen
+100nt
in
y4 +. - h V +ary
my3
X
h mar
 b  - 32b+ 24
sive.  Y + r + +4