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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 188r, page id 00068198:0375
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is
dy: dx = X-
y
a. potest haberi pea quadi Hyp. seu log. ipsius X- y.
sed nunc consideremus pro dus scribarnus A (1. y et fiet etro v e
do
(Etro) (y) - y3a = dxys X -y sol dx constans (Ato) fiel
so
paro jure ((y)-fy)a  ex _) - (y) seu (7) = XdX L ydx + ya,: a
sit ax constans, fiet pari jure (D u)a dx, X +de fyB
(y) = (Sto) X ax + ax dx = (y) dx + (y) a,: a
ve C
Py)) (6to) = axdx tadxdx = X cx + ydx yadx + aXdx- aydx + aaye,: aa
seu (y)) (7mo)ayta X ax -24yd + adx - x dx Lyax,: aa
en sic: (1) dyidx = x - y : a: seu  (2do) y = Xdx- ady,: ax
et Bto) dy = dx dx = addy: dx et ddu  = a dy: dx. et
s
:ds et. Ergu abitur tande
noferiem geometricam Et ita porro. Hinc patet adu esse
== ad
V=  rli (X; a) G + alyi t
V
d
progressionas Geometricae
cntanata differe ubi rlixia simificat fongulam integiam ex X et
potent continuata hiffere
HHinc Genteraliter si sit
satione res tautem eo reduci, ut continpata differentratione
seu integre relasatam ad X et a
appareat
geomebria
ex o
d
alquus differentias alicujus gradus dedi progressionis
Hinc gulem
inveuit potest curva.Nam
A
de L aa
du aErgo frt
2) Log adus h - l09. ddy.
e
1C2
adeoq
(b:a) dxdx = a day
n
au
B
et fiet
(b. a) dx dx = adu + cax et denique ((b: a) dx dx-ayter
te
dy - 104 durd dy = 10+1y + 127y posito dx esse astantem et 10, 11,
2 haberi per X fit ddus = W dio + pdu +ydi1 + gy d12 +, sidy +2. 12. ydis
et 12 ddy = +12d10 + 12 d 1 du. y ( 12412. 99) + 1. 11. 12 dy +2, 12 ydy
2
10d12
udu. idu + al.