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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 64v, page id 00068193:0130
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Sect. 11. Cap. 4: De Motu simul aequidistr. et unif.
a puncto absolvuntur spatia (per def. motus uniformis.) Jam
eadem manet velocitas, si unum punctum mobilis motum haben:
tis aequaliter distributum, idett hoc loco puncti, aequalibas tempori–
bus aequalia absolvat gratia. (per def. 2. Cap. praeced.)
Ppop. 2.
Si endem maneat, puncti velocitas, motus ejus est uniformis.
Moveatur (Fig. 25.) punctum A, per lineam. L, et in duobus
quibus cunque lincae punctis seu locis ut 1A vel 2 A sit eadem pun-
3
eti moti velocitas; Dico motum etse uniformem. Nampo-
natur ex 1A tempore aequali ipsi S absolvere lincam 1A (1A),
et ex 2 A tempore aequali ipti J rursus absoluero lincam2 A ( A)
Jam motus puncti m ipto puncto est aequidistributus (porprop. S.
Cap. praec.) Et in omni motu aequidittribato velocitates sunt, ut li-
nea eadem manente velocitate descriptae (uer def. 2. cap. praec.)
Ergo velocitas in 1A est ad velocitatem n 2A, ut 1A (+A) ad 2A-
c
2s). Sed inter velocitates ratio ett aequalitatis; ergo et lincae
eit
sunt aequales. Haque punctum aequalibus temporibus describit
aequales lineas quod (per. def. motus uniformis) est motum pun-
etr M uniformim.
Prop. 3.
In eo quod motu aequidistrituto movetur, coincidunt
heec duo: Motum mobilis etse uniformem et equiveloum.
Nam s mobile movetur motu uniformi, quodlibet ejus
punctum movetur motu uniformi (per prop. 2. Mot. unif.) Ergo
quodlibet ejus punctum eandem retinet velocitatem (per prop. 1. hio
Sed in motu aequiditrituto eadem ett velocitas puncti et mobilis
per prop. 3. Cap. praec.) Ergo et mobile eandum retinet velocitatem
Dicissim si mobile eujus motus est aequidistiibutus eandim reti-
net velocitatem, etiam quodlibet ejus punctum. candum utinet
velo
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