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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 40v, page id 00068073:0080
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h huigmodi
+ 3. - co aequ. a. posita
langente comprement quaeritur hujusmodi curva in
qua sit a arens.  tangens complementi Co
alia quaedam similiter cognita ex BF et denique
V sit sunctio generatrix curvae hinc determinatae
Cum haec sit curvae aequatio, hnc oret mutemus eam
in differentialem, et res omnis ad communes quantitates
et revocabitur. per enim
-
at + dy, +-co + y at - +co equdq
est sunt autem da.  da quantitates cognitae setq
a sit incognita) ex sola data  vel alterius proe
progressionis rectarum cognitatum incremento.
fier:
aF
dus aequ.
cognit. ex t.
V + cogn. ex L
Ergo n
Id est res redit
ad probllma methodi tangentium inversae, an detur
Curva analytica ordinaria, in qua ordinatur
ordinatam
 producta usque ad occursum tangentis sist ad abscissam
C
axis jare
seu at ad dusuf aliqua certo modo data ex abscissa
ad aliam certo modo ex adinata dalam. Quod videtur
in potestate, ob sumbuam arbitralitatem, ipsius co
et aliarum plurimarum. Ita ut si hoc methodo
res determinari non potest, ubi summa est libertas
pro certo habendum Mputem alia ratione refiniri
s
non posse. Et hic feliciter etiam speciale partoum
quadraturas aut dedificationes ad methodum
tangentium inversam reduci.
Genraliter:
ed
m no
Ergo +
in)
Ergo ut
dus
dy
aqu.
uod.
didendum an assumi possit
In
voose
V in
a
t
 )
 
aoae
am 3
T aequ. a
uoo 
en
C at aequ. 
aequ. O
(NV. (dD aequ.
seu aequatia ad mvam
explicatio talis ut dividendo tam
in numeratore quam hominatore connescat y. io non debet
sic enim Hoc ad compendium necesse tamen non est
forsam inde non est incipiendum. Assumatur
Reliqua Schedasequenti
scheda quinta
et