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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 34
# Folio 2v, page id 00068247:0004
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Formula explicatio formulae auscungue
P AhASZC
ic. TI
ESoE1M, b ANZ
1 .. 29 lx
.- 22n :.: - (713
: - 7. 312 Eois
.:- 2. 2p:. 5 (21 17
E
.: .
+.. :.. 
1) 32 +: . ... (2. 1 0. 23) C
ubi considerandum est simplicissimum constructionis fundamentum sumendomesse non tam in Perpendiculari aut horozontali
et si huc quoque non desunt harmoniae, sed transossali. ita enim transversaliter habetur. Z. Z - 1. Z - 2. Z- 3. Z -4.
et Cd Cd  CD  et Z . (Z-) (Z.3) (Z3) )(73
H
31 7. 12-37)
(P
D (3
2. e
Z - 72)
Eodem modo crepunt decresumtor tansversaliter.
potentiae ipsarum B et a. sed et notandum Z parentheticum semper tot esse dimensionum, quot β
ascriptum. qu.g. in t
Z- 253 ductis his in se invicem assurgatur ad Z) ubi
arotandum et magium numerm dividenter, exhis, 1, 2, 3. esse 3. mnumera id genus observari possent harimoniae
sed ut ad rem derique nostrum veniamus examinandum jam est, si formula explicatrio duaatur per crucem in explicutam
quid inde proveniat: Nimirum fociendae sunt omnes Terminorum AS, cum utmnibus terminis et, et cntra
Nimirum Nemerator producti erit  Nggregatum combinationum omnium Terminorum AS cum omnibus Terminis
PF, singulorum unique cum omnibus alterius; + aggregatum combinationum omnium terminotum  AI, cum omnibus
Termicns PS  Nominatot vero: combinationes omnium terminonum AF, cum umnibus DF. Ex lis comtina
tionibus eas in unum  colligemus, quae ad unum assuru unt ipsius y exponentem 
Et qui dem maximus
omnium EG. Nam combinationibus fiunt multiplicationes quantitatum, et additiones exponentium.  habebi
ergo termmmos hos 11 2Z. 2Z- 1 2Z- 2 22- 3. 27- 4.  430 08 + 0d 27 5. 22.6 7.7. 13-8
jam 2Z. componi potest non nisi ex Z + Z. ut scilicet menter terminorum ex cedut Z., Eadem modo audem itur
fiet Dsique 5Z+ PFZ 4 Q raZ
nompe terminum supir cujus exponens 2Z, desferen Numet
s id in Bifferentiae purte superiore seu Numeratore; terminum cujus expionens 2Z. componi ex duabus
affecta, ita ut prioe fiat ex ducta termini As, d et autri
expontem habentis Z in Anterioris folmutae superiore parte seu Numeratore reperti; Ir eem terminum
quantidatibus; una  ligno  altem signo
in Pi, seu posterioris formulae, nempe explicatiricis parte inferriore seu Nomi-
natore reperci. jam a explicando PIZ et es, Z per valores supra inventos fiei DS 2Z 0.
ejusdem exponentis,
I4
.
ASLHZ.
fbAs, 2( L, Z.2
l
 ifti
dst  4 -
 = Z H5.
2a 3 Z 1b.: Z- 2
da
ita
ta
e
: Z H. : Z. 31
1Z 2f.: 2-2
:... i
nea, q- 3 (. Z- ) C:
a 3 q 140 Z- 4
Et : 3- 2+ Z 3
Ead: = : Z- 3+. 3 Z- 2
sa Z. 41: y-
me eine
D5, 276H =  Z 1V Z
 201
a  262 + 304
1a: 4 5 Z3+ Z. 3
a 3 Z, 4t:
2 Z  1
vide seq plag etla
e
 aru 21,  a 
:.:- (2
C. 114 (
uC:
S
HH A
1.a
+.-:.. (
Zie
ena
C+:
:... R.197.2) ( +:
 2mc 1IH
B::
eF
M, 23C
D5, 74
Ds, 125
D5, 2Z1
H  Z- 2 C
+ a+
d0000 2000000
qacum u
doooio