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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18A
# Folio 152, page id 00068191:0152
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aequitur ex praecedenti, quod enim
futurumes
virum est si motus unifurmiter con
tinua na pecto  cum
eadem ratio
 enim aeqales futurae essent si
tcum
velocitatum eomadum ocuss
no lineae si motus n
uniformiter continuaretur, et
(per praeced.) et nunc uniformiter
continuetur (ex hypothesi) utique
eadem erit ratio et cum rato
una sit aequalitatis (ex hypothesi
etiam altera erit
prop. 3.
motu
Si mobile moveetur uniformi
manes
manet aequalis, ejus velocitas
ponatur mobile A moveri motu
uniformi, ergo aequaldus temporibus
MC Eec aequali punctum ejus
quodvis, adeoque et centrum gravitatis
aequalibus temporibus aequales descri–
bit lineas (per def. motus uniformis)
ergo et linea motus L descripta
tempore TM, ergo (per def. 1.
etiam linea motus L descriptatem
pore , aequalis est lineae motus
descriptae aequali tempore Ep
sed si mobilia t    1A et
3A motibus uniformibus, A2A 3AaA
aequalibus temporibus TV et Ep
aequales descrivunt lineas motus L et
a eorum velocitates sunt aequales
(per prop. proced.) est ergo eadem
flocitas mobilis A in 1A et in 3A
seu velocitas ejus durante motu
hoc es
uniformi manet eadem.
prop. C.
Si aequabilis aequalis maneat
mobilis velocitas, motus ejus
est uniformis
quibatunque
Si mobiile aqualibus temporibus
aequalia retinete spatia vel
ab solvit spatra vel contra; r
eandem retinet velocilatem
Nam si aequalious temponious
IP. EV, aequalia absolbit, spalia
aequales 1A2B, 3A 4B, aequales
absolvet spatiorum longitudines
ponamus mobile Axtempore P
pbsolvere spattum 1A2B et tempore
aequali EV aequal spatium 344 B,
ajo aequales esse velocitates. Sit
ehim velocitat inaequalis
si imbile rautat velocittem
valtem reperietur pars temporis
dividatur mobile tempus et
se in partes alcunque parvas et
patium in totidem. si ergo