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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 308r, page id 00068196:0611
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10_ + ndy + 12a = Zoco + 2ideo + 22a =0
fiit  y -30V+
et co= Hov +60Z+  fint 19, 10. 30V + 10. 40Z f10. 3+ a 4 .
quia
12 +47a ello
imo sufficeret unam ut  I. d3o V + 11 440 Z  114349 + 11. 30 dv + 11. 40d72 = c
ut esse unius incognilae
Atd altera posset componintrum
ex duabus, et i comm
ponendae binaeq aequades
coincidentes duabus datis
prt
A0D. 12a
05, 20. 50V + 20. 40ZA 20 56 a
21 dso b + 21 d60 = + 21 d56a), + 2150 dv + 2160 d2
+.00. 22a
Ut tr audo fiat aequ7. ponatur tolli Z1 et si fat oste 40 + u + 4d 10 60+ 2460) a, risi pus prius malit
Addantur in unum aequs et 6, 
ultentam sq. multi plura per constantas ubi 0A et possunt esse constantes (9)
sint bina  aeqque datae 100B. + 20dZ + 104 dv + 20 1dZ + 120 a = 
300B + 400Z+ 30i dv + 4 01 d3 + 340 a d
Eequal tollatur Z, fiat +100. 400 B. X + lo1. 400 dx + v01 400 1Z + 120. 400 a 7=0
= 200. 30) . = 200401 .. . 340, 200
is 03
-300. 200..
similiter aequo  multiplicetur per  et aeq. 6 per ob, et ita addantur rursus in
unum, ut indle fiat aequ. (12) Ubi uest ut desit V, ponatur 36g (03 0rudeo ) 70 (2o g erta
et ex aeq. 9 et 10 fiat X +4000ZeC + 10930 dx +100 401 dZ + 1∞ Cd. 34 2 (2)o
- 200.3001.
Et dibent comparari aeggu. 12 et 15
=. 101.300 1. 300 = 128. 300
in omnibus illis comparationibus nullam necesse est habere rationem
teminorum absolutorum, et ideo 3 putem 34 ex 56 plane omiti
posse, seu poni =0. sufficiunt 12 et 22 pro absolutis
supesu
Itaque praeter aegu. 8 et 13, quaeenda una ex Z ob Z, ua ob v, una ob Z
una ab binas ob do, binae Z ob az on unversum e quae aliqud
feras autem habemus diffierentiis cadentes 20, 11, 12 2)
05, 04,06. Et praeterea differentias recipiunt
30 pl 40, 50, et 56
CGqu 5 ob dv et ob aZ
ipsa 
Incipi potest a quatior
40: 60  hinc in
 Ex his habetur 30:50, ite
V et Z bis habebitur 30.. d30 +:
et 2t0.. a4t.. +. Ee q. ubi V abesthabetur ag0: g0
:x aeq. ubi 7 abest habetur d40: 40, hinc in reliquis
C habeurer 30, et 40, et ad huc semet differentiando
itaque
100V +200Z Y101 d B + 201 aZ  170a 0
 non omnino spes abest remconfici posse, en 3ao retozm va uib aroa Do
V, et L
ndvi sint aequationes 9 ut 10 datae. Explicetur Z per y
pLB uy + 12Co et D per 2+Y + 22C, dende utraque multiplicando
E
unam aequa eas debitae tolcetur facile dC tollatur et deo, et fiet
simpritr han altendo mataqvat bnem saltia hendote
aeq. in qua supererit y et dy, equae solvi potest retuncee matiat, vstulopa
100 uy + 100. 12∞ +
200, 21y + 200. 22Cd
10g di1y + 101 4 2c F 101. 1dy + 101. 12 du
204 d21 dy + 201 d220
201. 21 dy 4+ 201. 22 deo
+00. 126
200. HY + et C ut prius mutando 1. n et 2. 0 = B0. 34
400 217..
 4ol. duy
Ho1drcys
in 3.. et 4..
Atequatio autem d facile solvi potest ponendo assumendo pro arbituro
cim
Mendo deo hab
poest pratol
plabe
dat
(3
rationem ipsius 12 ad 22, et habebitur fd12 per aeq. 8
abetur  por cosuitis csende teominit cate t  danes pro sedus sutsamtus
8
in aeg. somposita ert 
sublatus temonus dc
superest ut tollamus
termium ed
debet esse
+301. 12)
+401. 272
+1
18
l
+201. 22
d
2oidu 306
30012
00. 12
2. dir
2.3
FC
O1. 1
1 401.
2F101. It
 30 1. 21
condenda erit
iat
Tabula pro redu-
cendis aeges. pluria
litrum aa  rodo
C
.2
1c