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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 23
# Folio 9r, page id 00068236:0017
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si jam trea coeffic sint  paria coefficientiam sintres residni
+) a - d b
= E a + n b
+ B a - A b.
fiet B aequ + Y + E(2(1) et
et ((Y) aequ Y + ( (1) 
vel 1x d + Y a - d b
AE 
In Cn DB + Epct) . - n (e(t)
aequ +d + n (2(1)
vel generalius (2 (1) aequ _(2. 2 (Y) + (2- 1(1)
vel  (2(8) aequ (Z. (B) - 8 (2. (8). (2(1)
et endem indi (Z (A) aequ (Z.  () - (3.t (A)
Videndum nunc an apsorum l. quotientium seriem talem comminisci
liceat, ut fiat  habeatur ea aliqua communis relatio inter Ye()
itemque ine inter- quae sit inter Y et (Y) uti est inter (Y) et ((Y)
pro _ Y (1) (YD sumamus a. b . prdotar
continuis quansLa propimi
ut a. b. c. pro tribus quitnslibet contranis intelligantur.
ad +  eo - _ vab aqu. bb
et debet similiter esse: bb - vb C aequi cc. substituatur
sit aequalio:
Ca - l b in locum C. fiet: bb - v Ha + vlb equ aa - 2d ab + Ibb
et oidinando: aa + vab x i aequ +1, 7 bb
l
quae collata percedenti dabit l aequ. v. itaque quolientes sunt B in nifinitum. Ergo  ag, v+ 
1
21
aequationi 1.
sit aa - vab aequ W bb fiatque a lb aequ scribaturque
similiter bb - vbC aequ W CC, et quia C aequ. a - lb substibiendo
fier: bb - vba + vt bb aequ Waa - 2 Wt ab + W Hbb. sed
inde statim video debere W esse aequ. 1. (. prima aequalia fuisset:
Waa = vab aequ Wbb. res succederet, sed tunc fieret laqu-
tunc enim hnm siplus conmonis mlliplicator lo W
quod sane succedit si  est integer; sed si fractus res ita mnisio, hllipoles
simpliciter non procedit.
vrcic
h aequ
_ 1. r