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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 64r, page id 00068073:0127
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3 Apul 1670
censa me
quaentur
ad
recialem emragonimum
conter  chediasina ejude diei cui tit. Methodus lonut
tium inversa per suppositionem arbitraris, aequallo
an repercti possi
exempi causa
analytica quae cycloidem tangat aut
quam demonstrari possit langere cycloidem,
curva
Hoc enim posito habetur punctum ubi
tangit quod sic constendo: ad axeum AB ducatur
ex pluribus perpendicularibus ducatur ita  quae
cumae
aequalis svel parallela est) ipsi AD: punctum
idem est si non langat, tamen
erit quaesitum
alicubi tangentem habeat parathelarm. _ vel perpendicularem
Coincidentem et ali aut angulum vatum facientae vel aliquim
sit alia curva
+
caeterum hoc ut praestemus ita pergo
simile.
in re g analytica cur quae analytice im rectam est
extendibilis ea provolvatur supper eadem regula AB.
eiosit talis nempe sit curva EBF.  generans
per A ducatur
tiochoidem HB cuus perpetidicularis
Gli
-
L
A5 parallela ipsi BG, et per G parallela ipsi HB,
ocuriens circulo in L.
etg
pogressio ipsam, d talis
 alsqua
qualis est ordinatarum in curva tandem
in nihilum evanesentium
beo cum
patet tunc D et L coincidere, a deoque et C ac. G. rectar B
naralletam eos paraletam et aequalem ipsi AE vel
AL esse  cuivae occunere ad angulos rectos in G
+
t
eadim et cycloidi ad ansulos rectos occurit, ergo cycloides
curva quae sita ibi sibi occunrunt.
sed quia curva
B in rectam extendibit analys
extendibilis esse debet,
loco alia
la
curva
quae evolutione
uti forte licebit ejus
exempli gratia
describitur
C
analilua
coccuriens
caculo in 
errores
ut in sequenti
palebit