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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 76, page id 00068192:0076
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Longitudines cA 2 A B  B 3B sunt per-
cursae sint inaequalia TF. P M P, sumatur
in majore MP pars minori cequalis M5,
quolper consectar. 3. defin. Loci motus) per-
curretur pars Longitudinis 1B3B, nempe
1B2B Obtempora TF. Et MS aequalia erit
Longitudo percursa 1A 2 A ad Longitudinen
percursam 1B2B ut resocitas V ad reloci-
tatem L. (per prop. A. hic) rursus quia mo
Tus ipsius B per 1B2B3B est uniformis
eadem retinetur velocitas (per prop. 1. hic)
Sin uniformiter et aequidiscribute motis,
quorum eadem est relocitas nempe, in B
percurrente Longitudinem 1B2B8 in B
percurrente Longitudinem 1B3B, Longi
rudines percursae, 1B2B8 1B3B, sunt ut
tempora impensa MS (seu TF) e MP Fe
POTA IMpELSAMS NME (per prop. praeced.)
Iaque jungendo, quia 1A2A ad 1B2B ut:
Vad L. V , B2B ad 1B3B, ut FF ad MP; er it
1A2 a ad i B3B in ratione composita VadL.
&. TE ad MP. Duod affirmabatur.
In numeris sit relocitas L. dupsa=
velocitaris ves tempus mecripsum tem
Poris FE, erit Longitudo 1B3B velocitate
L. tempore MP percursa ad Longitudinem
1A2A velocitato V tempore TP. percursam
inratione
sin
= et vicissim in aequidistribute
motis aut punctis, si semper
longitudines ut tempora,
motus sunt uniforues;
ee siquideta id vercum etiam
menetitus divergoruta velo
velditates santlaefectes
et
quidem diveriorum
quoque mobilium coeitudines
erdurcae r invicer
comparatorum longitudnes
percursae sint ut temporu
velocitates mobilium
sunt aquales non tantum
iba sed et inter se
S.rop.
In Motu unifonmi punctorum
vel aequidistribure motorum Longi
tudines aequasibus amborum vesocita
tibus percursae sunt ut tempora im
pensa. F
sint mobisia duo AB, Y CD quo:
rum motus 1A1B3A3B item iC +D.
ZC3D facti respectiue temporibus
FV ES sint uniformes, s aequidistri
buti; _ praeterea velocitas ipsius AB
aequatis reLocitati ipsius CD, ajo esse
Longitudinem. 1A ZA tempore LV per
cursam, ad Longitudinem +C3C tem
pore e percursam ut IVad Cs.
Ponantur in motu sumi tempora aequa
Lia TMHCP, This percurrantur
apunctis AC Longitudines iA2A
1C2 C +per consectar. 3. Defin. Loci
motus) Looniam mobilium
 mobilium ABet CD
motus sunt unis ormes, et iam puncto
A, et C
rum  mocus sunt uniformes
(per prop. 2. de motu unifor.) rursus
quia motus mobitium AB et CD sunt
aequidiseributi aequalis est relocitas
puncti A et mobilis A B, itemq mobilis
CD