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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 3
# Folio 25v, page id 00068000:0050
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in integris  b, C, Ed, V
C
=. VD - bcdC C= v + cocorb, v- 0c0 rb
be
si v- ocorb sit minus quam 1
etunc Y + crb, est majas quam C
 ec
et ita produceat  in intem. S, sed irrationeibus non semper sest piatsa producto
p 
quia ma-
= V = coco bBC V = 11 CocdYb nendia ideri
romtsmeacessu
C rV + coco rb. Ergo C+ v = 1 p V + 200c0Y6
vgitcoco sob epCa cocorb
V-V A 1 , e0 (rb = C+ cocorb
Ergo 2cocoYb
cdco b, sit majus quam 1. erit
etiam C majus tam tu utroque producente
e
ea erit C( v 4c0c0db et Cp V. cocYb
1
+
v
s cocorb p v-1 c0wrb BC-D
seltcor
2c
e
  cu+ v- coco sb = l:m
ubi  mHl,
nCF = lb+ cocVb
M -l lnon est minor unituse  Ergo n- l= m n+c seu m-ntH
pH Caco 1O cant
v acoco uc
 ubi B psas esse 0. Ergo cnrc +C= 1,v+cd ob
e C BY(C4
et
cuci
t+s
v C
e
a
s r
tao
n’est sevel inte
totovb
= C(n+D
eens quant lunet
Si v-cocorb sit minus quam
nuc 1.
 fiet p- 10co 1b + e = 1. sed e est minusqum
n
quam l. et V est majus quam acdrb
B DP+ cocorb Eit C+ f = e + co corb
+∞ cocor = 1+CI
s
v idcorb
s V = 1+C+f -e Sed t est majo. quam e
sit
Ergo 20p +1+C, rarjus crvr v= 1- C L cocorb
= c + f-c0corb, fit 1 = e+ cocorb = c + F = tocd S6
1 2 coco bB c + f +C - 1. seu  si f. stC
unde s
S
p
ut fili
ft 2c0cd Sb AC
emonstratur pay. Seq