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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 109, page id 00068192:0109
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Ideo si effectus vel actiones
sint aequa Les. fient (per eLementa)
quantitates materiae Longitu
areciproce
dinibus  proportio
nates. et contra si reciproce
proportionales sint quantita
res materiae Longitudinibus
ao erunt effectus
aequales, d in casu aequalium re
Locitabum d actiones.
Ibaqee bres Libras transter
re per Llonqirudinem duorum pe-
dum aequatis est effectus effectui
vel si aequaliasint temporaequ
aequasis est actio actioni brans nusus alterius quanspligs
ferendi duas dibras perLongitu velocitatis res temporis (
dinem brium pedum. Quod e sic
ostendi potest. Bres Librastrans
ferre per Longibudinem duorum
pedum sextupnes est effectus trans
ferentis unam Libram per Lon-
gitudinem unius pedis: et duao
Libras transferre persongitur
dinem trium pedum sextuptus
est effectus transferentis unam
d. pa
pedis (ubrum qB per prop. h. hic)
Crgi
Nam reLocitates duae qua
cunq A e D possunt intes Ligi
aseries
bermini progressionis Geometri-
2
ca: haec series continuetur ub sit
A, B, C. iba g respondentes eis
actiones L, MI, N, erunt etiam
termini progressionis Geome
tricae S quidem vel ejusdemseu
in rabione simplice veldiita
tum, rel in ratione velocita-
ratte
tum secundum numerum certur
mustipsicata, aut submusdi-
PLicabal per prop. 6 hid sed quo
niam Longitudine e materia
H qued
posita eadem veldcibabi
qua eadem Longitudo pereur
ritur res oti reciproce pro-
portionale est) consideratio su
peresse potest (per def. 3. hic,
itage nulla fieri potest com
positio sive mustipLicatio ra
tionum. Otproinde necesse est
actiones eandem quantibaten
maberiae per eandem Longibu
dinem bransferentes esse
simpliciter in ratione velo
relocitatum
per prop. 5