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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 437v, page id 00068196:0870
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aelerum hinc praeclarum aliquid didicimus
nempe modum semper inveniendi relationem
 et
8 
x
c F1F+S
inter numerum Seriei terminum et aliquem
alium numerum seriei notioris respondentem
Nam ponamus dari relationem inter 
2C, d. qquaeratur relatio inter B et c
.  CF  si est possibilis, modo alibi praescripta. Jam
3. 2
Vatur etiam relatio inter B et C interventum
2.
 ex alicuius numeri ut n, cujus datur progressio,
 adi
te ergo ope duarum relationum inter B et C
E
a
tollendo C, habetur relatio inter n et B,
quod est pulcherrimum, nec alia facile via
F sbtinendum.
5
as
 Si Nova relatio transcendens inter b, c, n  daretur
taque esset differentialis seu summatoria; queungsatur eo
sedali
tollendo n per D ex  dabitur relatio transscendens inter b
X et C nmp oro datur relatio ordinariat inter b, c, d c ex
exs
ex hac b  E tocendo b ope 6, restabit relatio inter c
similis esse
25dC E et d, quae debet coincidere ipsi b et si non coincideret,
E
Et
o
esset similis, tunc duae darentur relationes differentiales
inter c et d, una E altera 4 similis ipsi 3. quam
d 2 et Z ope collendo  differentiales
ipsarum c et d, haberetur relatio odmatia inter c et d
adeoque et inter b et C. Hinc videtur modus dari investigandi
assumatur inim arbitrarie et ei similis ejus ope tollatur b ex Z. habebem
8. quod quae debet coincidere ipsi 4 et ita arbitrariae assumtae quaerentur
si non co siluo
pro investiganda relatione ordinaria inter b et c
pro investigunda sic procedendum: Sumatur velatio generalis arbitaria
inter b et C quam vocemus ; ciusque ope collumus b ex ipsa et ex ea
collamus b, ope ipsius Q. restabit relatio inter C et d, quae sit
F et
debret 3, per via similis esse ipsi  assumamus O transcendeatem finitam
sed exponentium datorum primoionstantium  inter b et c. ex ea tollamus b per reladem .
deel haberi B rclatio inter c et d similis priori inter D. scribamus + similem ipsi _
debent conferi  coincidere B et +. Est autem ipsa 8 infinita, igitur finienda