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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 13r, page id 00068073:0025
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minimam
jurcure mximam rutionem cecantis ad
Javenire secantem, qui minimam rutionem habiat
ad suum arcum. Manifestum est quo propius punctum 1n
minima.
Sit radius Y
Sumitur verss A, vel vertus C eo
majorem esse rationem secantus BY
ad suum arcum AD, quaeritur medium
punctum E ita ut ratio secantis BF ad
arcum BE sit omnium Cep possibilium
Est autrur Cx meis demonstratis
arcus sit arcy a, tangens T, secans, v,
erit a = bY
C dc. Est autem H= VV-rr
mttu
 a = et a tdt = vdv.
b
s
seu dt = vav: dvn-rr. Ergo fiet
a =
rodo
. Et  =
vrovir
CraV C
dvrovir
debet esse e omnium possibilium minimum, fiet
r d0) = ao)
rovir
Seu ta = rr.
e
Seculcrus eatis seu radius est media proportio-
nalis inter arcum quaesitum, et sum ejus
tangentem et arcum, qui ni cujus secans
 qui maximam habet rationem ad suam
secantem.
Felicitalis erit tate problema Maximae
t minimae invenire, in quo t simul et
maxima seu minima et quantitas transcendens
est  t videami
tolli possit. ut
fu inter
 quid s fiat, siquaeratur differentiac arcum
ut secantem minima:
v.
Crr= W. fitt du- rrdv
vervar
vivir
seu vevver = rr. seu vt- vurr-
= O
quaentur an ratio sit minima quando differentia
est minima. Non segutur