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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 50r, page id 00068073:0099
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13 Martii 679
Ergo
152
s.
+
1,2 1,2,3
8
etc aequ.  em
62, 3 1,2,3,4
5
12,3,4
32s3, 4, 5
Ergo m + Smds aequ. 5.
hc. aequ. ms
Ergo dm + m ds aequ. ds
Ergo duo aequ.  eq. ds
1- m
Sit d aequ. 2.
et de aequ. e.
Erit aequatio ad Hyperbolam  aque
hugo
 1-m
aqu. 8S seu se est logarithmus
Hypervolocus.
dideamus tautum an proposita quacunque
hujusmodi aequatione semper perveniri
possit  a ad aequationem commu
riem seu an hujgsmodi problemata semper
revocari possint ad quadraturam
in hunc ponusum examinabo problema
quod Gregorius Barrovio proposuit, et
pl
cujus ope pucat Geomenriam longe ultra
quaesentem statum proveri posse.
fidentus.
Equidem summae semper tolli possuonl restantibus
fancum diferentiis.
videa mus. m (mds
e
hujus d dat mas +  amfmas. Et ita contrnuando
in infinitum semper superert
mas nisi ponamus
a
aliquando am aequ. 1. sed quid si sit.
msimas + nm
Ima
fiet.
m ds + dm (mi + am msmas tm
Smas
it ita rursus differentias quaerendo nescr non
fedtes meliodus traltam calculos
disntiaeles