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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 19
# Folio 8r, page id 00068144:0015
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Aequatio pro linea in qua grave
nnforunter recedit ab aliquo puncto
a saxadu: sax = Sen +gy.
XXAgy = aa 1S (... se y = aa L -. - XX
dy = x +97 s.. . . - ZX dX, : XY aa 12) s. . - XX
sax ea
a dx +d  X dx + ydy,:
sax
rxxtyy
d
dex
_ a: X dx rtu = XX dX + 2Xy dxdy + yydy: Ax Fyy
seu a X ax + a X y + ay 1X + ay dy = X AX + 2Xydxdy + Xy dy
si sit  XX + 99 = Z2 fier y - ZZ XX
et du = Z42 xlx. sz Xx
ergo a x et  a Ax ZZ - adx XY 1Z 42 - 2ZX ax Y _x
Ergo
Hax d
= lax ibZ XX
a 22dx a x dx + a Z 1Z 2aZX ZdX + a X 1X
dZ. xa nnt hnc lucri
2X dxdy
adx +ady - xdu
y + X dx dus
(2) a ex Factus-Xdtus
Xex = ax ex = ax dis Da ex cuibi edu Ka
2) adx + a ct
 Xay
X