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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 14
# Folio 7v, page id 00068227:0014
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 1I + 12 l + 1gH
200 = 11 + 12m fit 11 = 100 - 12 l =200
et 12 = 100 - 200, :, l - m = 120 et 11 = 100 =  110
00
100 = 11+ 12l + 13l = 200 + 11 + 12m + 13rum, fiet 11 = 100 - 12l= 13ll = 100 1
fiet 12 = (100 = 200, :, l - m) +  13 ((+ m) = 120 + 13(+ m). sed nova
pursus aequatio 300 = 300 + 11 + 12n + 13nn, unde 12 = 130 + 13(l+ n)
10
= 100-300, Cp:, l - n  Ergo 120 + 13 (lam) = 130 + (3 (+ n)
=132230 a(2C- 126 +42
220 = 11 = - 10 + 120l 6 - 2do(  12)
3og = H + 12n+ 13nn t4n
sit 1 = 120 - 130,,  - (m - n) =
jen  200 = U + 12 m + 13nun + 14 M3 400 = uF 12p +13 pp +14p
 10 + HL+ 12t +13 100 = 1 + (2l + 13ll 4 14 (3
11 = (100- 200, :, l.nt   = 1(Lm)  i4 (U+ bm demm) seu -11 = 100 + 12l+ 13ll + 14 (3
= -200 + 12M + 13nm + 14m, ergo - 12 = - 100 + 13l +14 Il
+ 200
= 100+ 300: l: n = = 130 W01 400,, l P= 190 I- m
M
Im
un
osen 120
adi C 1hoC1
fit rursus = 12 = - 130 + 13 l + 14 ll quae aequando sit c- 120 + ( m13 + l m 114 = 0
- 100 + 2007 :, - m =- 120
un
120 - 130, :, m - n, = 220 fit - 13= - 220 + l114
+ 130
To
10-140, :, m - p = 920 et - 13 = -730t  14. Et laadem 14=
Ln
 mMm)
 un
220-230
2
el 13= 220 = in 320 et = 12 = = 120 + 220 l + l3l 320 4 320 I
im
runi
14 =  320 = 13 = = 220 4 1320 -12 = -120+ 1, 320 = 
en - 12 = - 120 + l 220 = ln 320
1
n
ma
Hinc in altiore fiet
lI = 100 - 12ol + 22olm - 320 lmn- + 420 lmnp
12= 50E120 = no l + 320 Im = 420 lmn
3=
ad p
+ I 220
Y220 -320.  + 420 lmb 
+ 320
= 420
ad p
ad
nun
= II(D 320
 V
220 = 230 -32C
n- p
320 + ( 320
m 
11= - 10 +130l - 1 l. 220 + l. lm 320,
et fit = 11 = -1d + 12ol -  2olm +0320 lmn
adn
1d
bn
tum
AV Um M
320