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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 10v, page id 00068198:0020
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Ax dus idx = XX + yg: aa sit ex constans fiet
ddy: dx = 2xdx +2y dy,: aa
et gam
et y = (aa (dy: dx) = Xx = aa ddus = 2X dxdx; dyd
aa(dys: dx) - x)
itaque
perest
ady.
Z.a = dy: dx
prollema hoc caus
casus est hujus ex
datis AY invenina
M N quaeritur curva
noee curva
problema praesens
 invenire
curvam talem
ut sit mN
NM ad M L inc
in ratione daplicata AXad
a
AY ad ML
si X cresca AX crescant aequabditer
erunt incrementa ipsorum XY  in
ratione duplicata ipsorum A
itaque
erunt xy proportionalia ipsis A
summas quacrat
ab AY applicatirum ad
AX
seu motuenta ipjorum AY ex
constractio per motum. Cilum cum pondu cui
filum annixumconstituatur in Y. electo pro arbifrio.
inde filum extendatur in punctum aliquod Lquod
 reperiatur tale, ut fiat Nm ad ML in ratione duplicata
AY ad ML. ila habebuntur quo puncta vera Y et L. Hinc
jam porro procedet motus. trahendo filum per L, pondus sequens
circumaget Ax circa A, sed ita ut simul obtineptur relitio, debita
inter AY et pM. porantur des curmae salisfaciente, esse
clineato