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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 431v, page id 00068196:0858
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etc. Negligantur rliqua
 alieque enuntiandur
ex his aliosque dinta se compositis et innesiplicatis. frmari poteri aequatio similis
cognita tgant inventione ipsius e, ex dato logarictmo, hinc ope ejus methodi
aequatio proposita statimraddi pottis puta mon tamen sic habebitur pura infinita, sed
tantum quantum libuerit appropinquate licebit ve eoram ex labielis ope
e
nodo b
Juentio Trigonometria sine labulis aventid logaritimorum sine Tabulis, et
contra; inventio logarichmocum ex numeris antiratibus sinuum langentium B secantur
serem infuitam. Methodus quamlibet curvam Analyticam reducendi ad
ute  b
aqualiones iderticas, prius per vatas quantitate mltiplicetas
1e
nyl
A u
eds ame ab 1+ C pdE te neue ligeantur reliqua
uv
 logaritentique invenri potent numerus + e eodum V
vei est
dta solum Canonem sinuum.
BI
1 2
ll
pc, 5uY
aA, cujus resiluttorum detur ex  logarichuis, quoniam vi, pareim etiam
sis hiet sum numeris simmum tangentium e secantiam non inventis, methodo diversa
bea quae adhibetur Methodus omnem aequationem propositam reddendi puram
luncuriam analiticam aequivitentem rationalam, et per consequens
vadietura onnidum figurarum per series infinitas Methodus resolvendi
oaniem aequationem propositam per solas Tabulas logaritmorum, aute etram
t
bganeI
(2 1, 2, 3, 4,  1 2, 3, 4, 5, 6,2
2,3S
a
sin ex arci 
rest. 4 , 57b. 
1eu, 9
e
I v. B Ab t resus
sin  a. arcui quod est absurdum
 a
ver
GW
posito arcu a,  sit sunus.  sinet 
lese
sin e 
sumsin HI  = 
opent seque retur
sit ergo abstracte: ac sin p
AEHy ABp2y
et BC13
dna
a vi
sin 
NIm F
na
a
a
23b 45C GZ8 39,E
e
 234b 456C 670 89, 10, e 1
tam Sa s4 Is. _ sinum i semper aduno edripigua rttionet differre alibus ostensu
ova forter comparatio jum x v
1+y
idg
diffeculia simum facilis Nam
fieri
i
+1P
=C)
H
34,5
nas)
1,23 1
ad
EAB
Xy
ersi
BB
c
17, 3
2B-
n  2y 2y+B
11y d
ls
ey
+y+2yβ
s
sib 1 2y
seu
11db
seu posita 1 pi 8.
fii as dsmtroda x ee
23
ed
t
1iry
g est quantitus cujus summa haberi potest. Nam S piegtII irgo
(. quae est summa arcuum in off sino, est q
112
Ergos CyC2 qu e oo sin 1
 rye
la
+y
ercuspi 294 1y +195- 197. Seuu arcpise
(Si nanevoa in dift. taps. semarus p  areri t
 at 17 = hy 3+ γ 29 et. quaeritur sius ex dato arcu. 60p  193 +  y - 2y et
rejere a pi 9= y. br eg _ p Y 27. Ex priore 2y3 p 8-6. sed quoninita fiet
ie1rg
puy nesio
t 291 277
s
ermt X p 2g a. sedila sabstitatio for e palieus quoaiimm rd alte drctra imnatus Ergo pro 8V