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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 60v, page id 00068193:0122
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Sect. p. Cap. 2 De Motu uniformi
Srop. 5.
In motu uniformi spatia absoluta a mobilis, puncto
sunt temporibus impentis propontionalia.
Fonamus (fig. 13.) punctum mobilis uniformiter motiad. pu
solvere spatium A tempore C, et spatium B tempore D; Dico
re
ete A ad B, ut C ad D. Et quidem si tempora sunt commentur
rabilia, sit maccima eorum mensura communis, aequalis ipri
E; et sit eaempli cauta C triplum ipnus E, et D quintuplum,
erit C ad D, ut 3 ad 5. Et tempore aequali ipt E, pircurca
t
it pars ipsius A aequalis ipsi F; ergo (ier praeced.) A per cursa
tempore C triplo ejus quo percursa est aequalis ipsi F, erit tri
pla iptius di; jam pars iprius B percursa tempore aequali ipti C
0
est etiam aequalis ipn se (ex def. motus uniformis); Ergo (aursus
per praecedentm) B percursa tempore D quintuplo gus quo
-
S.
percunsa ett aequalis ipsi si, etit quintupla ipsius X; Ergo erit
etiam A ad B, ut 3 ad 5. Quod si rationes snt miomimentu
s
rabiles, conttat ex luclide reduci posse ad comensurabiles sio,
ut error minor sit errore quovis dato; ad eoque nullus. Univer
saliter igitur vera proponitio est.
Serap. 6.
ise
si satia a quovis mobilis puncto percursa sint tempon-
bus impensis, proportionalia, motus ett uniformis.
it enim (Pig. 14) punctum mobilis percurrens tompore
Clineam A, et tempore D lineam L, et sint tempora C et D
aequalia; jam C ad D et ut A ad L ea Hypotheti; Ergo etiam
linea A et L erunt aequales. Et proinde aequalibus temporibus
aequalia spatia per curruntur, quod et motum euto uniformem.
prop
ra a
et isti
mem
lina
eC
Ut. 
Ait
ver
ber
e
si
V