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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 67r, page id 00068193:0135
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TM
bi
ero
A2A
H
e
 sat
D
M
lum
imper
ul
long
tri.
inso
3
V
citati
32
longs
1A2
st
dem
Sert. I1. Cap. 4. De Motasimul aequid. et unif.
tempora FE et MD essent aequalia, utique forent longitudines
1A2 A et sB2B in ratione velocitatum V et L (per prop. 4. huc)
adeoque in ratione copposita temporum (aequalium) et velocitatum;
Sm tempora quibus longitudines 1A2A et 1B2B sunt percura
is
s
sint maequalia 3Z et MP, sumatur in majore MP pars minori
il
e
aequalis MS, quo (pen consectan. 3. def. tou motus) percurretur pars
 etME,
longitudinis 133B, nempe 1B2B, Ob tompora ae qualia erit lon-
Bz
gltado percurra A2 A ad longitudinem per cursam 1B2B ut velo-
lpa
citas V ad velocitatem L (per prop. 4 hic). Eursus quia motus ipsu
3B ett uniformis, eadem retinetur velocitat,
2
(per prop. 2. suc) et in uniformiter et aequidittribute motis, quorum
eadem ett velocitas, nempe in B per currente longitudinum
1B2B, et n B pericurrente longitudinum 1B3B, longitudinet
percurtae 1B2B et 1B3B sunt ut tempora impenta MS (tu TE
et MD; (per prop. praeced.)
S.
Itaque jungendo, quia 1A 2 A ad 1B-
Si
p
2B ut H ad L, et 1B2B ad 1B 3B ut TE ad MS, erit 1A2A
ad 1833B im ratione composita V. ad L et TE ad MP. Quod affir-
mabatum.
in numeris sit velocitas L dupla velocitatis V, et tempus
Z
Ma triplum temporis F3, erit longitado 133sd velocitate
il
Ltempore Mp percursa ad longitudinem ut 2 A velocitate V
tempores SE percursam in ratione composita 3 ad l et 2 ad1,
idest in ratione 6 ad l, sive ut factum ex tempore m velou-
tatem, seu svelocitas iprius B sit dupla et tempus triplum,
respectu velocitatis et temporis ipsius B, erit ipsius Be percur-
sa longitudo bis tripla seu ter dupla, hoc est sextupla longitu
dnis ab A percursae.
Crop. 7.