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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 189v, page id 00068195:0378
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Niminum
ratione P D
Q sont in recipioa
itaque. sic jam procedemus rectius:
celeritates sunt in repii reciproca
ration Celerita to incrementa vel in
qualibet momento sunt in reciproca ratone
gatiorum quae percurruntur amplitudinum
mplitudines autem sunt in duplicata
atione, altitudinum. Ergo celeritates
in rratione altitudinum recipioca
spatia vero percursa quodvet momento
sunt ut ao eodem tempore ut sunt uut
duplicata
celeritotes. Et celeritates spatiem
insregenta percursa, ut ut summae
celeritatum, ad est ut summae quantitatum
quae sunt in ratione altitudinum recipioca
duplicataid
A H pN S2 F)
annendo M infrrnte hinc abesse) est
tad 1 id est ut a1 P2O1
Est autem 1I PZO1I equ. O LV -25. 1IPN 1) 
ponendo infinite hinc abesse, seu N esse asymptoton,
est 02
 aequo A Eet se
 1) Pago Q M aequ.
20
PD,
fier: 20 aequ
ND2n2
Ergo 1 sit 1)F aqu d
 et O2N 2O aequ. 1
 n2
et Y) P aego D aequ Wo ni 
vor si
go 1 P aequ cn aq D 1
et OQN -2 O - H PN  Y. seu 1P2ON aequ. c1
jam ponatur. Ed aequ. n
d aequ. san N. et  aequ
Ergo nunc landem rem bene explicare licebit.
( DX OH aqu a 4 . jam p ( aequ. X H, a
Ergr.  1 P4OA lequ a a  Xsl - v N
1PZO1 aequ. a a
et
B qur Orgo a a et HPV 2 H aqu. a- a
oni
ergo 1P2OFI (aqu 8 L N 2O- 1I PN 25) aequ -a aequ  - = aqu
est autem P L aequ. X- n, 2
Ergo HPQOH
(X- B nx
1PL aequ. (∞- n 
vel sic 1 PQOH. Caundat ne
C+ PL
(X N_n
aequ.
na
72X
qua
nx
aequ  a  aciqu  et a aequ
Seu ratio TIPZOH ad L C et est composita
ex rationibus a ad ni est a ad nx.
nn ex rationibus n ad d et n ad dx. co
Hine si n aequ d aequ. a. fiet:
1120 aequ a seu  fs
unde patet O codere intra eo cape inter Z et L
rgo at
qu.
aego 3X N +  tr X N- XH
mo sie.
eaequ.
Ergo n fa t. aqu n
Ergo
3. a 
t
ex Y anEX a