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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 252r, page id 00068196:0499
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inquisitione dignissimum
an hoec procedat Methodus:
sit curva aliqua quadratio verb.
gr. cujus aequala sit (dx: at = y: a
quae est linea AC quadratrro partium
Huperbolae DE seu ut BC in AV
BC in AV
Cientru
bolicae YA BEY. quaeritur circuli
cujus verlex tanseat per A
qui curvam AC ostutetur
quod si datur talis circulus
haberi poterit punctum P
cerurum erus, et adeosus
ob AP pV aequales
et punctum curvae V.
verum Et sane
rem processuram
ex Hypothesi sic patet
 LeX-XX = yy
go 2Cdx- 2xdx
2 dy. seu
dy: dx = C- F: y
ed ex 1. fit, 
du: dx.. a, a +x
seu ay= ae-axtre
quae est aequatio ad
parobilam et
ab osculum haec
parabola circulum
rursus tangit,
ut et curvam
quaesitam
ergo quaerendo
ejus differentalem fit
adque = adx - Cax. 2X
sou dy: des = -al a + C + 2X :a
ga; a +x. si et
aa= (aa + a e + 3Xa + x et 27
unde jam per aequationes
2, 5 d, habetur X, 9, e.
Verum haec supponunt
ut dixi talem circuluu
eari quod fsi falsum
est etiam palsum est quod
aequatio parabola, aequa
tionis 5 curvam langat