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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 213v, page id 00068198:0426
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in efecta inter se; seu non dare nisi identicam
et sic ex licandae sunt assumtae. ut potest fer possunt
autam assumtitiiae esse quodhubet modo explicentur per h.
Et si istae incertae impediantur exponentem ipsius X vel peth.
et Fh. pihilominus res polenit praestari, sed tunc
it curva fieri transcendens. Utile erit usum imonstrare
in exemplo.
sed nunc verriam ad aliam modam inveniendi
longentem per pluriu curvarum duarum ejusitem
seriei proximarum interectiones,
AB, X,
BC
_ H1b), Z et (B) (C) . scil in
fit vzy
Ex
ed casu cocursus. sit relatio quaecunque inter Z et )
H jam y- et Z4 AH sit A, fiet Z + h
casp cocursus. Et anter e constans
L
in
se xut
sissimatur relatio inter  et et V et pro 7 et v
substituendo valores ex 1 et 2 ot lasum cocursus pes
squatio (4 in quam Xh, et Y ubi tamen possunt
nterenire mbahari aliae quad differentiando serund
H solam geminam habebitat violor ipsius 1.
Unde feet aequ. per 4 et  fieret aequ. (6) inter
X et 9 quae deberet satisf acere xipsi valori dy: ax
sed P. nihil hiac, nam qu profingenda aeg. 3. prout
opoilet, praestabit imtro fingere ipsam 6 qualcum
convenit. Nsisi in bg. 3. faciamus intrare
ipsam x arbiliaria, radam raivne. Et forte
otim in exponentialibus. Quod commodim
videtu, quia ita differehaliati possunt commode
cy ponentrales.
4) 
sit X I. Xth2 =  V se in casus concursus
et differea ponamus n et 4. dan ex xetas si pracet,
differentiando secundum A, fiet:
X- h g. X+ I -+ s . X - F n -1
a
C
quam dividendo per X  h X+hD seu per y. fies
A A = 1
IX - h
=0
(gx - q+ +uxr Hunus ope tollatur seu AE q x q n X,: 9tn cujus ope
xq. ax =
qtn
q+n
et X+ 
Gx tux +qu p
seu 291
in
1
ellatur h ex aq. 4 et fiet
Et 4.
X X,  im
19. n
Gta
120
+ X,  qta
Ubi debent fiagi q et n tales per X et Y ut
hoc aequatio propositae ad curvu aequa toni disferent ali
salis feciat. Sed ita video potuisse nos hanc aqu. 6.
talem fingere initio, et praecedentia considerasionemque curvarum
rts ei dq jlaque pari sure ad Aralusum
tantum ad angclos rectos
Cantilis et gesitum curo quaesilvis erectos . intintur isu ossent