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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 445r, page id 00068196:0885
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8a- raete
applicatis de mapinus er chilinus sur
Method lan pendes
estio de maxoins tan simulari sic potest in quaestionem
d minimo, sit AB maxima viduntarum exc. A intB
ert Fa infima ordinatarum ex curva in GF
Jun 1646. demas
demett
Mapis indicibus senet
filitis
salogarsses edE B
et II AC
AE - AC
AC- AB AC+CEHA
De exponentibus et indicibus ad quadraturas
LAC
AC =)
VAC2- AB
DC, AC M
4B AE. BC AE -AC, A
DC AC, G AE- AC AV, pE-
) AC
DC, AC HI AE NC
AE =2AC AC + AC
AE, AB + 2AE, AC AB - AC, AB
1ID
A- H
AE2 2AE, AC, + AC= De
I A5
2AE, AC + RC2
sei et qae agcaersca
aee -ac +4, 
en a,
pesi djontinio radin
pli ecert
quam a) et pier
e-ac 10.
horre
innycatium
 ponamus . fiet  a cipis
ea- 20a +e- carrCae- e
er ordinandoeut ep, C - 2a C + a  +20
et ondinando ad tangente
eH4-6a Ct + a et +20a4 et proute
pontirem fles
te)ad nlua
A B
24ge a eis ac + rca susa 
neserio e, est in fnite purvaomninm umtoridiesem
7aC
AE-A
AC = A B
+AEAC - 2A EAC + AC
DC, AC  + AE AC, _ -2 AE, AC + Ms
+ AE, _ = 2AE, AC + AC
AB,Y. AE⊓ a. K)
AE - AC
AE
vel brevius AE AC, sat est l2.
Ergo AC AE M CE
vo ABAC
examinandum quamd.
possibilium maxima ad examonsam
Y maxima, etiam y in
 AB maxima. Nam si
maxima.
C est magna etiam e c est magna e sed contra
uxne re
Grt
LHH C= C
à la
+ arq (2
Ergo quaeendum est  ta res jam radditur sic facilior. _ Porro si
EH est parva.
et H =
n PR
ta +
2R V + Na
Ergo ex aminandum quando vllangalum ex PR in LH, est omnium possi bilium maximum
a +. b  a 1 aerba. Hac toncux rectangulum tanto ma sit CdV rectangulu–
co ascendentes, v de scendentes quaeritur rectangalum maximum. sit 8Z 4o +V
erst
+
4
aod erit maxia
si v est maximum et
d esse et majus et v minus. Erit cdY madimunt, tumcum
   tt ha ant ergurtiande es prasit
d CEri a C
. B et
y  etc,
(12. 00
a +Z
A S7C bA b
et mamas tum tu