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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 13r, page id 00068198:0025
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 12v); this page is its right half.
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# Lines: 67 recognised, mean confidence 0.84
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An siC. O() ex X: a et y: a, et dy: dX.  F
2
_ y: a _ (ddo: dZ
et x: a (3) dv: dz quibus
et ily: dx (4) dZ ddv: d7 ddv - doddze quibus substa vatoribus
substitulis in aeq. 1 prodit aeq. 15) in qua sdav: dZe, et dv: d2
et adv: daz.
de ( (dv (ddid Z
2
Esto de per du et (ddv: dz verb. gi
et 0)6) divo (ddv: d3 + davdv: dZ
sed ita ruo nil lucramur
(ddv:7 ex de: dz
nam habetur  jam turt
01.ex X: a, y: a, dy: dx
An ergo sic meluis
V: a (2) fddz: dz X: a(3- v: di
dy: dx ()d Z ddz: dzdav - v daz quibus valoribus substitulis
fiet ag. (5) in qua adz: dz et dv: dz, et ddvi ddu
aq 6) in qua _ az, do, ddque ddv,  d3Z. dv.
lG. 4. 1
eamus difeentrandu
(7) ex  e  do et dz et fddv: dZ
2
ila eoiatur n rujus deferentcatione oc ab surda consequentia
 constans
sit de
verum, ta eliam non possunt tolli simul de, et du
ex aq. 6.
An sic:
y: a
2) Sddz: dz
X: a  B) Sddz: dv
substituantur hi valores in aeq.
et differentia ado prodit 6q.(5. hanc differentiando tollamus
Yea dy: dx (dv: dus
(adZ: do prodit aeq. 6, in qua (adz: dz, dvi dz
Jam ponamus excogitari
ipsius de valorem Talem, at prodeat aequatio nequae in qua
o  et ddv: ddZ
et
ddv: ddZ
e
divisione evaneseat, et supererit sed nec hoc
licet dabitur
engm retatio inter 5dtZ: dz et dv: de
de  sildze :d7 + de 5ddv: dv b fit adzue sZ: 1Z
ddZ Sdaz: d2 + deZue + ddr (ddv: dv + ddo fiet
si esset constans
ddv: daz
adZ (1+ loqez
1+Sadz: dz,: 1 + Sddv: dv
seu fit
= ddv (1+ log dx). hiac datur dz et dee per de 7(9
18)
1ot
cduz: des et scavido sollatur (ddv: do differentiando
 et
59. (11) in qua AZ, do dez, ddv, (adz: d cujus ape
quarum 
et
C
de
haberiuo sadz: dque ex 4g. b habebiliue aeq. in qua dque, do eaque ado E
+
tolle
quae sumtmabilis