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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 45v, page id 00068073:0090
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10 Mortii 679
Tontamen ad parlicularem arqu ute
alicujus dinensionem sihceda sexta
sit Radius circuli 2
Arcus, a, tangens T,  sit secans
vit.
2 aequ. +  t3 + +3 - +7 dec
saeq. S 1+ F
e
B. inventa huc
secanse minimae
rationis, vel maxime
Tasitudine cura spiralis, habetur
arcus aligiius dimensio, et hatetur, eadem
opera dimensio alicuus quadrantis arcus, adeom
et circuli dati in tegri
uaeretur serans cujus rati gcans curus ratio ad
arcum sit omnium possibierum minima
vel drcus cujus ratio ad secantem sit
omniam possibilium maxima-
scribatur. +
seu + - +3+ 45
+3+
(1 +
C
C aequ cd
etc aequ. C 1+f2
fierea Unde multiplicando senundum regulam
la rgentium fiet:
3
aequ.
l- ++ f erc equ seu 
Dunt ex aequ. 1. Het.
e
1+ L
S
14 aequ. co seu L
8
Sittd1 aequ co
Sit + fiat  1+ + aequ. m. fiet: l aego m - 1
Ergo 2+ at equ am Ergo dt aequ. dm aego am
Unde exoeyo. 5. fiet
vim ve
(
am aqu. co
n 1 - m
2 +
vel sin am (am +  am.
iim
Im moium
Sim
si co sumamus pro determinato Maxino
evanesiet ne et erit do aequ.0. et p
fiet ex aequ 5. Ce mf(dD) (at
vel
a aequ. 
2+m
M
aequ. 1 Edi
sin
ML