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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 79v, page id 00068194:0158
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poppa en agu = X + acX + aaf  fiat X: a = 110V + 101Z + 100a, :, 20b + 201 Z + 20051 g: a - 31oV + 301Z+ Jva,:, 2tSBH201Z F 200a
compendio X: a - O: D et y: a = 8. D, firt a 44: DD = 1 Bd: p tec B. D + aat efia ad PY = a 6. + CODB + f9
6. 10) WVZ = 6. 110. 101. 100vZa
No a
aG = a, 493V
3. 110. 160 Dva
D2 )211. 12 2C0 i
6o e
C = 110Y
00c
p.20V
2. 110. 202 paa
11C
3. 100. 210200
1. Jop 201
2. 1
20
. 101. 20d Zac
2. 100. 20 200.
 a, e u pradoru
OW = 1. 218 p 
=0
Hiar ju aequutisca N ut bollatra 
ut tollatu. B, fiei 118 a + 110 2 0loC 
215f a210. 31030aS
3. 110 10. 1014 +.1 01 219. 70C + 2. 110. 210. 81C l20
3. 20 210 201 f  201. 310. 310a (3. 210. 310. 301 a
UI tollatur WBa fiel 13. 1r0. 110u00a + 101. 210.4 o C + 2. 110. 2.8 200C ) =0
13 218.210. 200f - 300. 310. 3104 - 3. 210. 310. 300a )
nedicinda ex uctinistribus, sed aequatio ex ilis prima dullam habent quantitatem roptriam
D3 = f, Mi. 03, pro 10. ponendo 2.. verb. pr. pus 1o ponedo 210
101, 201, 30 extant in sola aequatione
100, ra cones
2.210,210,75
-3. 110. 210. 291c
200 ex postrma, et erit 200 = 3, 110. 10 100 a
110 et 201 ponerentur 0, fieret 310= tsi ad2
et 10) = 310. 301c: 2 40C. et 200
310, 200, 101
DC
20. 310. 3004, : 70. g0a - 3,210. 20.
oc 20 30g a a
et figt X - 20 22.6V mo. 30) a Z + 100a
uaveet
5
-3. 210. 210 5
301 210 100 et pro commodibate
caeteri manent afultiari nempetr 300 2el 1105
ea
(.1. 310. 310a
X0. 210 100c - 2. 210. 310. 36Da, i7 - 2 115. 20C
310 exprima, et erit 3103,0 = 2o 
Tri igitur numeros ex assumtitis inveniri suficis, caeteri nempe
caetere lite Num
21. peneal 3
Ut tollatur VBZ. fi
..- PBostrema .... . . . -
210. 20.
Z et 100a, , 210V +
10C
e
et i nXt
assuni pos
(1ma, 21V- 2 seoC 4 3, o que c
310B + 301Z- + 300a
a 210V + ∞ - 210. 1001 + 310. 3003) a
et  3 =
S
Et 310 = 401 a.3
nam a assumitur pro unitate, sem aequationem
pos
210f
propositam hoc modo sempersolvi posse in numeris rationalibus.  modo eror in calculo otest absit
7
100C 4310. 300A a
210f
Et biet
Et fiet
210P + 210
superest jam ut inveniatur valor ipsius V per Z, tam generaliter, quam etiam ponendo
a
Hinc sequitur, si f sit quadratus
esse 110 =0 et 201 =0 Et eo a vatore substitito in valoribus ipsorum X et y per Z et V
Et hi valores substituti in ipsa aequatione proposita debent
dare aequationem identicam, si bene est calculatum.
haberentur X et y per Z
Ex plita ta 310. fid
 301 a Her : 5) Z + 100a
AEa.: f) V +301Z + 300a
20B - 10C + 300 g. s. f
210V = 100 55 + 300 au fr. 5)
3. 110100 va
3. 101. 100. Zaa
1. 101. 210 nBZ +, 110. c81. 200) WVZ
6121V.
3. 101- 10022
1. 10.
210o 2t
1. 110. 20) v22
2. 1B,20.
1. 100. 210 bha
CODd - C, 1020
Pot. 2e) Z
100 200 N
101.