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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 102v, page id 00068200:0206
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nimirum progressionis
Geometricae
vel etiam
a
datae generalis paheboloidum et Hyperboloctum quadraturae
et manifesta est comparand cum formusa Generali
Axaequ.
a
d
L
ce
Ex,
et idus sumenter
unde aequationem resoluendo facile habetur valor ipsius
7. si qua aequatio sit data.
quod sirem velimus solvere
toganthinice quaeramus modos c situamus similes aequationes
et faciendo novas suppsssitiones veniamus ad erusmodi
equatione ut termini omnes tollantur relectis solur y.
in ut coefficerentibus quod sorta ob novas arbitrarias suppo-
sittor sitiones possibile est, ut scilicet assumta curva
pro arbitrio, et inde differentrali ducta et
odjiciendo nova differentrali pro arbituro, inde
a
am
comparimus cum data differentiali eamus solvamus
Teomini, niveniantur vero litera
ita, ut tollantur
 exponentirum denique solvatur nova
videtrr et hac methodo perveniri posse, ad quadraturam nalytiam
verbigratia
speciatem si modo sit possibilis nam videatur un fingi
possit curva analytica talis quae tangat cyl loide
in puncto aliquo in absei axe ejus determinato. empe
si fingi possit curva talis  analytica AC quam
constet colloidem tangere nec tamen sciatur punctum
culsa
contactus, id facile invenietur
nar cum rectae datae
omnes perpendiculares dentur, illa perpendicularis ad curvam
BC quae ipsi Ad da aequalis est (seu Tubi curvam secat parabolas
edabit punctum curvae quaesitum quaeritur ergo quomodo
excogitari possit curva gnalytica, quae necessario alicubi
Alileo
ope cor ejudem circuli
generatoris in aliqua linea moti duae possent generori linee
fangit cycloidem
sina analytica, altera agat non- analytica. sed hoc indetur
difficilius. inio si impossibile, si curvae analyticae trochoides analytica
aliquam
sufficit aliquando rectam oni perpendicularem esse et alteri perpen-
Unum hic oblitqus sum quando vide sequentra in schedrasmate erusde
icule pe
datur non lantm ax dy. sed et
Dei cu tit. tentamen ad speriatem
arbinariam aequationem assumere setragouisinum
dax ddyue. posse nos ad huc novari
pro his, ut pro illis NN.