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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 164v, page id 00068198:0328
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C 10x + 1a. Explicentur X et y
per alius v et Z. Fq 
320WV + 3 (1VZ +310aV +300aa
qove+ 4vz+ quant quona
Ex 1et 2 fier s.
1. 51+ V + 1. 500a
d. 510V + 10500 a
2. 510B (t 21. 500a
a 610V +601 Z + 600 a
(5) 110V + 1017+100a
artuo pa
210V + 201Z + 200a
2. 8105 20. 60ua
et aequando valores 2 et 5, fiet aequatio () in qua tollunus D fucente _10. qu0 - 21
20. 6012
+110. g20V tBIqu orZ +A10. 40 avV 110I auVZZ + u qu irR + u0. 400 apV + 101 4o2 Z
-210. 320. - 210. 311... - 0. 310:... - 201.311.--, 210. 301a.
+101.420... + 100, 420.... +110. 407... +100. 41 ....
20. 301..
-10V320... -200. 320.... - 210. 302...
ili (t d’estreaatur v faciendo 1V. 420 - 210. 32020  o n o
Et aequatio  compendio sic exprimetur
 Z 72VDZ + Z1VZa + 703
Tr
720 a
710vaa
unde fit vvOO + adDV + aa OC = se nvC  ad PD + + aa Do
ael YBC) + aDV + aa D =0
Rapu qua+
sei v = = aD +a (∞ B - 404): 20
1-408 = +712 7n Z4 +2. 71: Ht a 12702aa
+7(11. 7(I 77C af 2. 7H.710 L M070d
.2). 70-4. 721702 -4 21. 701. - 4. 721.700
-4. 720703 4. 780. 702. = 4 720. 701- 4.720)
poni potst ef ind. Haec formula sub virculo comparmududite
Ex datis impliissima prosurvas orica ubi absi
Sed ut compendio calculi consulamus, ponamus 50, 50, 610, 600 esse 0. fiet 100 = 0 = 20
sultipli audo dala per altium
et 110 = 11.510 et 101 = 10. 601- et 210 = 21510 et 201 = 20.601
denique faciamus et 3U=o-
+10.  f
20130C
quod si etiam facimnus 300 et 40e esse 0, fc et Ha = 0
3a
201. 200
fint O= (101.420= 201. 320)Z Y (10. 410 -210.810) a 0
+10. 410 210. 410 410 401 ∞10140) 110. 2o0 +201. 400
D = (10. 402 - 210. 302) 27 + (1. 401 -250. 30) a2( (1a. Joo 13 a) a
=210. 310 201310 =210. 304, 101, 301 210300 -201. 300
 compendio +110 420 H01. +20 L110. 402 +101. A02
1020920, 81 20. 7o 1002. 702 1o2. HoL 1012. 7r0 10110. X0 100(.7o1 0151 Zl 10oquo oinn od
s
2o A otzo = cbt 3 201 -io1 
1o he vero = 1oc - Ho 201
-210,320 701. 320 210,362 -20(302
Itm icroeplis lices somilite eto= rec -390 201. Hina invertu lics quo per a
D = 1002 702ZF + 1001. 101 aZ +10vjooaa manet adhuc arbisrn per otea indentus quo per 2, quod edhuc in arti
trio e. factemus 10 e  420 =0 = deo non solum evanescit V, sed
O = 0120. 7207 + 1010.710a
etiam O est constans, adeoque nihil noc in differentiando turbat, cum vniendam est ad d
_= oior 7 702 73 +o1o1 7 01 azz +0j00. 700aZ
+ DB) = 1002. 7or Z + 2. 1002. 1001. 702. 701a 2 + 10fr 10v0. 702 700 a a 2
+2. 1002. 010. 7o2. AD... + 1ao. 1oBI. 7or to1. 4... + 2.1001 10r4. 01. 10 (a Z + 100. 1ovv. 100. 700 a
2.6110. 100d H0. 702
A21001. 0110. 701. 710....
+ ∞110. 0110. 710. 710)
= 411610. 3100. (V. 100 a Z
sit Tocmula data Z +  + an ZZ aareque t a3p, sub vinculo huic idantificanda, ubi primus multiplicatia
=4. 1010, 0102. 710. 702... - 9 10100101. 71. 7
fueril per 1007. 792. ut fiat 1005. 7072 + vor for + 1002, 10E amZ Los Y nant t 10o2. 702 a p
e absoti 1002. 702 lap = 1000. 7004 et 1002. 1001701 = 1002, p M1 B. 1 = 2. 1010. 01 or. 710 ob Na, e tq. C tabu 0
1001. 1000.701 +0110. 1000. 710 2 1010. 0100. 710, ob X AZ aZ. EX ag. 1 habemus 70Z, ex rg. 2 Aouu 
habem 402 quas claes subctituendo aeq. 3 habenus 20 3B) superest aequalio ob aaZZ, ubi evarescent
tant vam ., reda es al 100, a roredtit ad et reliquas  pe o auliu ab tro lipder  pte
aet srt et por (mbere 000 o sle pro 1001 oc scubert 300. 701 et pro 0101 701 priber 000. 801
etgo 1 1010. 210 scribamis N 710, pro etro ouo. 7 10 scutum 8 10 in itaque ex az
ex aZ tit 1000701 + 1000. 810 = 2. 0100.710
=1002. (701 + 810),: 2.0102 = 1000 (101 + 80) 9 : 20100. unde ft
A000. 0102. Superet ex ag22 aequatio 1005. 700 (a: Vap) + 0C0. 701 + 2. 600. avisol. 810- + 000. 35. 4 8. 71 0. 801 =
el 1012. fa + 1002. 810 = 2. 0102. 710
pat rgo Sca= no
valorem ua 170r + X1
 uos; tap
au titetu Dssum dori o b a to  bst oi. h. 1o e vin sesr a0b ao eo
X 3) S1ob +501Z+ 500a
- 310.300 .. - 201. 3024
+ 100. 4002