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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 41r, page id 00068073:0081
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Invenimus
ascheda quinta
Tentaminis ad
de peculiau dimensioneu arcus
abicurus particularis.
et
dy
t
characterum , et D  naulo ante
 et ex posita relatione.
expressum.
Quaeritur jam relatio aliqua
analytica inter  et y huic tangentium proprietati
satis faciens
finita:
Id est assumatur aequatio inde
t quttere
a + bt + cy + d Fy + e F + fy etc. aequ. 0
Unde nota tangentium Methodo fiet
es
dus
aequ.
quantitates
aequ.
.
aequ. 6
..... aqu. 
6 et
, seu
e
id est dabuntur
adeoque fiet:
6D aequ. 09
quae
taequatio ordinata secundum  et V. coincider
debet cum aequatione
ea posse comparari.
ec debet cum
Qu
S succedat comparatio habemus modum infinitos
arcus
quada in rectas extendendi, uinumquemque
methodo peculiari. et jem si dabus aliquis
arcus in rectum ex tendendus proponatur
a
ut ans
l tatem idt posita ipsa aequ. 0.
inde datus valor oriatur caeleris omnibus
manentibus indeterminatis Aue ita
etiam infinitis modis poterit ede idem
arens in
rectum exlendi, uos omnes coincidere
necesse est, et demonstrationis at