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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15
# Folio 28v, page id 00068033:0056
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2
panc ordinatam y aequ X quod
impossibile esse calculus tangentium ostendit
L
X+a aequ.
LX + CLa  LX La
illud cercum loganhinum hunc 
modo compositum, esse ex logarethmo ipsius
a et
s
ex loganthum ipsius a.
Non puto melius investigari posse hanc
N recationem quam per seriem infinitam
inveniatur enm logarihmus
s
xta per
X et a. logantinus LX per X et
p
per a.
ex
et videatur, quomodo
his duabus serreb infinitis
qua ulcunque inter se compositis freri
possit. Balor seu senes ipsius X+a-
dem aliter. in veniatur
X per LX
et a per La, habetur et X+a per
Lx et La
per x+a ergo
jum LX +a habetur
et
LX+a. habebitu
per seriem infinitam, quam ingrediuntur
X. et La. ponatur dari  X per li
aequationem quandam, ipsam a contrinentem
eamque indefinctam, haec multiplicetur per
arbithrariam productum iddatur huic aequatione
Valorem ipsius L∞ta per LX. et La exprimenti
tentem an ide fiet aequatio ede finita seti
intm explicata fatbitranta infecta in defitatas.
etie  generutius ila: assumatur nova aequatio a
e
relutione exprimens penera intr trin Lxta.a LX
HaeC indfitta penfinita generelis multiplicetur per arbitrati
Et addatur initio datae et tentetur an
clara
infinitam generalem.
nitacta data itque explicari possit arbiliaria ut inde orditui
quatio
finita Hoc indento facillune omnia pa Jogamiinnico
calculo solventur.