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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 77v, page id 00068193:0156
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2 formali
Sect. III. Cap. t De Actionu motus et Effectu
indicem vel exponentem seuratio L’ ad M (2 ad 16) ett ra
tionis A ad B (cu ad 4) triplicata subduplicata, vel ratio A
C
ad B est rationis L ad M duplicata subtriplicata; Cum enus
c
ratio L ad M. sit ut euborum (nam 2, 16, 128 etc. estut 1
8, 64, etc.) ratio A ad B eit ut quadratorum (nempe 1,
c
4326, etc.) Eademgi locum habent in aliis omnibus, etiam
s
indefinite sit progrediendum in ineterpolanda serie priore ut
in eam mcdat posterior, quemadmorum factum est m calcu
landis logarithmis.
Frop. 
Si eadem matoria quantitas moveatur per longi-
tudinem aequales, Telocitates erunt actionibus proportionales
Nan velocitates dix quaecunque A: et 
ligi termino seriei progressionia Geometrica; Hac serues
continuetur ut sit A, B, C; itaque respondentes ets actiones
C
LM,N, erunt etiam termini progressionis Gesmetrica,
per prop. 5.) et quidem vel ejusdem seurm ratione simplice
velocitatum, vel in ratione velocitatum secundum nume-
ie
runo centum multiplicata aut submultiplicata (per prop.
a
b. huic) sed quoniam longitudine et materia posita eadim
C
e.
nullius alterius quam solius velocitatis vel temporis (quod
velocitati qua cadem longituedo percurritar reuproce propor
tionale ett) contideratio superetse potett (per. def. 3. Sio).
Hagi nulla fieri potett compositio sive multiplicatio rati–
onum Et proinde necesse ett actiones eandim quantita
tem materiae per eandem longitudinem transfirentes etse
sim.
Smo
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tra
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et
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set
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