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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 156r, page id 00068196:0309
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10 +9 tndus 60
230+ 21y + 32dy 0. Ex aep. 1. fit die + uy tuidys
 100 + 1101 + 111 dy (
1208 121 d
73iV 23dv
200+210y +211 dy0
+2201 +221 d
a
Esto 305 310G + 300 +310y =0 et 400 + 410y = e
320V
+ 420 V
d420 V 420 dv
Ex 1 et 2, fiat una, comparanda Cum og. 5. siat
100f4 + 110 fy + 111fdus
2009 + 21094 4 219dy
Da 229n 2219d1
V d3∞ a + d31c) + 310a dy
d320an 320 a dv
uti supseposito
310a = 111f + 2119 d310 - n1f + 11d5  110f
320= Iuf +249
3 et aliam 4 nempe
d320a = d121 f + 121d 120f
400 + 410y + 4 11 dus C8. ita aberit vg. b.
∞o4 ponamius
componamul et 400. 410, 41 Carebunt differentiatare
ponams compo ntrosioris calculi componendo 3 et (4D fiet
d300. e + d310 CY + 310 Cdy
+d320 Cv 320 Cdo.
4uoh + 41ohy + + uh dyd
a
0
absoluto, sufficit
du1g + ZUolys 2109
sad  video nos hic redire ad tinus algus similes darae
ut
100F + 110f y + 111 fdis
2009
2109 y 2119..)
120s. V 121f do
2209V 29
4 uh = 111f t2119 - 4310 C 410(= 1105 + 2109 = d310C
320C = 121f + 2219 6. d320 C+ go de = c121f 4 121df 
deug + 221d9
..
31
Unde diffcrentiando
fiet 4300 + d310 y + 310dy = 0 et d900 + d410 y + 410 dy
+ d320Y) + 320 dv
120fV +12i fdu
reliquos identf
di et d320 C = 120 f +2209 et fil 120f. +2209 + 320 de =
et 320 = d121f + 121d5 + d2219+22(89 = 120f = 2209,: de = 121f +2419: C
itaque nonsens faciunt arbitraria
Et cum fet
Num id determinantuntae
seu Esto jon ilia aquatio
5 et e sin in determinale AK quibus una
 100 ma tidmus Luindus o 400 + 4101  41 ay =d
300, +. 3103
10m . + 12m du
20ona +2gny trundus
Zhoner 2un
fict 120M + 220 H = 320a
fu t 2or 50
fit n = (121 : 221) n et (20-
et 410 = 110m + 210n. = 310
+320
et
et 12Im 4221 A = 
121 220) m = p2a a
22
et 41= UIm + 2IIN
(3) pt ( Y
binae datae reductae sint in innas alias quarum una est jam
est tractabilis, habetur q uo ex (() quo suostiento in aq. 3, habetur
etiam a v nec tantum reductae sunt egque. ad unum, sed etiam
ad tractibole,
Jdn lyt 2edy300
upernumerariaz
rigetur haberi
oculio Hoc
vin est proba
 oponalum
constantis
rationis ad
F. res est
jum consecta
namcum ita
aequatines,