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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 28
# Folio 32v, page id 00068241:0064
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Oplune rem designabimus numeris dimensiones repraesentantibus:
1b
sit 0 X + 1 X + 2 X + 3 X + 4 X + 3 X + 6X + 7 X + 8X + 9 aequ. nihilo
ilem sit 10 X + n X + 12 X + 13X + 14 X 4+ 15 X + 16X + 17 X 4 18 X + 19. rgo nihilo
abi nou
40. 11 40. 12 +0. 13 40.14 +0.15 +0. 16 40. 17 40. 18 40197 (3)
- 10. 1
+0. 19
-10.9
- 10. 2
+1. 19
=11. 9
quas aequationes
aequ. nihilo
=10. 3 -10.4 - 10.5 - 10. 6 210. 7 -10. 8 - 10.9)
+2. 19 +3. 19 +4. 19 45.19 +6.19 + 2. 19 4819 jaequa nitut
-12. 9 - 13. 9 - 14. 9 -15. 9 - 16. 9 - 17. 9 - 18.9)
3 et 4, compendiose sic exprimamus, ut statim
tum dimensio tum etiam significatio appareat
2
03, 04 05 06 07 08 09 aequ.. . .
e
94
95 96 97 98 equ...
uende statum scribere poterimus aequationes quartam quintam et sextam
ta OI92 O orge egs eg6 brst  sgr
X
401.91 +01.92 +01. 93 +01.94 +0195 +c1. 9b 10197 101. 98  ag.
9202- 90. 03-90. 04 290. 05 -9. 06 -90.07 -90. 05 -90.09
(6)
2+01. 98 02.98 03.98 04. 98 05. 98 06. 98, +0798 08. 98 2 aqu. 
6 -90. 09= -9u09 - 92.09 - 93. 09 -9409 95.09. 9609 -97. 09
+ 1029. 139 
n i v-0. d
 X 0049 0039 0049 0059
 0099 0199 0299 0399
0069 007g 00sg 0099 aequ
nihili
0499 40599 0699. 0799 aequ itulo
003949 004999 005999
e seu
compendiose 
aequ nihilo
Puto ex his, non difficuller haberi progressionem. Termini primi Aequationum 1. 3.
sunt 8.
ordonatus
4011
-1. 10
Melius puti enuntia
buntur omnia es
incipiamus semper
ab altioribus terminis
non adhibitis initio
ulitimis, sed non
ita brevitere ad calculum
venietr
+0. 1. 11. 19
- 1. 1. 10. 19
+1. 9. 10. 11
∞, 9. 11. 11
40. D.1219
= 0.2. 10. 1
+ 2.9. 10. 10
= 0. 9. 10, 12
0X + Y X + 2X + 3X erc aequ nihulo
10X + 1 X + 12 X +. 13X etc aqu. nihuilo
4(00 + a +3 2 er aeqo . ex 1. et 2 add
+10
in ir
TA. ∞) + 18.1 +122 H0. 3 J ex a. et 2per hucem Mull. et subti.
=B. 10) = 9. 11 -0. 12 - 0. B
+10. 1 +10. 2 + 103 + 10. 4  ex 3 exaltata
20. 19 80. R 80. 13 40. 143
+0.10.0 + 01et. +0.102. + 0. 10.3
40. 0. 10 +0, 0. 11 +0. 0.12 +0. 0. 15
+10, 10. 0 + 10. 10 +10. 10.2 +1
+10. 0. 10 410. 0. 11 4 10. a12 410. d 13
10
aequatio quadralica
Meota. tota C scribi
pt compendiose pe
per: 40. 1. 1. 9. = 0. 0. 2.9 vel d0399 00gge equ0
haec enim quater variari
possunt, quia semper binis
praefiri possunt 1. veli
binis simplicibus marcalibus
deleminandum per regulam,
quomodo debeant pomi signa
plus et minus
idem inquavis termino numeus
trmensionum et coefficientuu
vel 9049994 + 005999X g. 0.
eqniones
literaum
bto omni-
optrimum incipere
plane ab ultimis
et Mulliplicative
eos sollere, ita
e
sine depressione
Ccum summa
dicarum laequa-
tionum combinetur
vel cum altentra
ad id siet
si nempe jam depresse
cursus cum alteratir
Ninetur habentur
duae depresse
ex tqvibus tribus depssi
habebrinus duas
bis depressas, et
ita unaniter
depressam nosi
0029 significat omnes combinatiores quatua literatum, quae o
faciant simensiones H.  lanemnt expresso insit guel 19
lnvenes detennigile salie arte tte r tanturis re dm sunt 
aequatio, semp
sed relinquatur
undecim literae autem quatuor ingerventes quae tagedi
possunt 0. ver 10. 1. 11. 2. 12. 9. 19.  ea
une deprimetu
no gradu
bis. si nem
5
le duaebis
depressae con
cident
dd prefixa
0.3
02
= O. 12
10. 2 10.3
Cermini secundi
+0. 12
D. 1
per o entelligitur cgenaque termn
ullunque per et quicunque
senullimus
CX F F aeq. 0.
quo casu pro 9n scuibi
+0. 2, 11. 19
i2
2. 10. 10
40, D. 13. 19
-D. 3. 10. 19
43. 9. 10. 1D
= 0.9. 18. 13
vorg +0039X aequ0
en.
suatoria
10. 12 10. 13
debet 2 seu erit
+0.0
+10.0
- 10. 10
=011
10
-10. 11
10. 1