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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 65r, page id 00068193:0131
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Sect. H. Cap. 4. De Motu simul aequiditr. et unif.
velociratem (per eand. pr. 3. C. praec) Sed punctum eandem reti-
nens velocitatem movetur motu uniformi, (per prap. 2. sii):
et cujus quod libet punctum movetur motu uniformi, id iptum
5
movetur mota uniformi, (pen prop. 3. de motu unit.) Ergo mobilo
movetur uniformi. Iaqe in motu aequidittributo tam ea motu
uniformi sequitur eadem velocitas, quam vieinim. ea eadem ves
locitate motus uniformis; quod est motum uniformem et aequi-
velocem in mobili aequidictribute moto coincidere.
Sed m eo cujus gnotus non est aequidistributus, non semper
coincidunt motus aequivelox et motas uniformis, quanquam id pa
radoaum videri possit. Nam quotus mobilis, puncto diversas
habent velocitates, tuno si mobili ipsi volumus tribuere certum
velocitatem mediam inter diversorum, punctorum velocitates,
reri poterit ut mobile quidem in summa eandem velocitatem
etineat, dum quod uni puncto detrahitur; atteri additur, ipta
ro puncta singula non retineant suns; quod tamen requirituri
ut mobilis motus sit uniformis.
Serop. A
In motibus uniformitus punctorum vel aequidistritate
motorum, velocitates mobilium sunt ut longitudines aequalitus
temporibus percursae.
sint (Fig. 26.) aequidittribute mota A et B absolven
tia temporibus ipti S aequalibus longitudines 1A2A, 1B2B mo-
tibus uniformitas; Dico esto velocitatem in A ad velocitatem m
B, ut 1A2A ad 182B. Nam in motibus aequi velocitus et aequidi-
stribute motis ett veloeitas ad velocitatem ut 1A2 A ad 1B2B
per def. 2. Cap. praec.) seu ut longitudines per cursae (per dif. 3. d. cap.)
Sed in aequidittribute motis idem ett motus aequivelox et uniformus
(per