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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 9
# Folio - , page id 00067968:0146
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ectiones velocitatibus proportionales.
sodo iquidem assum potest tanquam exioma
idendum tamen am hoc temmate, adjuvari
possit ejus demonstratio sit 
t A, velocitas V), et rursus actio a, velocitas
ac deriqu actio _, velocitas 8.
Ex
jam ex datis A, V, et V datur a, ergo datur
ratio  a: A, ex data v: V. Sed eode
sid indem prorsus modo datur cactio a
X: A ex data 8: V, et _ A, (
et _: a ex data 8: V. Si
a: A = CC p v: V4 qu: V +s v.V ex
gres et a: A = p 8: V + 4 8: V +sB: V et
 et ∞. a = p v: v + q S. V + (S. V ex
dam est a: a: R: a: A = a: a. Ergo sit
 v: V 448. V +55:V u p8: B + 98. B + 
 x. V nauDa (piV ea
quie aequatio cum debeat esse identica non potest
obtineri nisi s omnes termini praeter unum
Qvarescant, id ut verbi gratia praeter p,
positis 4, s, etc = 0, et p sit = 1. itaque
fiet a: A = v: V m Eac igitur thecrema
 ec
inter duas quanticates ho
 Pata rutiore inter duas alias quantuat
au later se homou eneas prcorit
phalirates unius speci
et ratio
pi note srtis aliatu
idem eandem pelationem habent
Squalia sunt, certa tamen exceptione
ad hibila ex sradicibus aqualivnm ambiguam
detur ratatu inter A V, a, B sintus
et V Eomogenea lemus a et v, necesse
dani a: v ex data A A: a ex datup H. _
ex data V: v. eamque esse simplicem
sed at sit composita vlatio, debent dari
adliberi plares uit A, _, _a; et V, v, stal.)
mlli
et eadem relatio datur inter a, _ 5e et V 9)
relatite) ope ham duam relationum
s tillatur a , restabib. solum A: a, ergo dabitur
et A. N, in rel. (3) sed in ag. 2 tantur etiam
t
X: a: a ut; videndum an sublata a,
eliam tollatur V, et quid inde consequatur