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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 162v, page id 00068193:0330
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Sect. IV. Ce Causa et Effectu Activis.
nem elevata supra horipontum. Ajo, potentiam ponderis
AB esse ad potentiam, ponderis. LM, ut pondus ABC ad pon
dus LiM. Jum sit mensura communis ponderum, pondus
M ad eundem altitudinum elevatum, quod m ABC reperitur
ter, m LM bis (vel alio modo); Iaqe et elevatio ipsius Nvel
gemelli in isto reperitur ter, in hoc bis; potentia autem sum
ut repetitiones ejusdem suae mensurae (per prop. 2 huc) et repe
a
fitiones hu ut pondera. Ergo et potentia ut pondera erunt
Si pondera in mensurum communem soloi non possint, suffici
assumi alia quae in comminem mensuram resolvi possint tam
parum ab hus differentia, ut error sit minor dato, adeoque nullus
sumiliarius enuntiando: Potentia librarum duarum el
vatorum super Rorizontem ad altitudinum perpendicularem
unius pedis, dupla est potentiae libre unius elevatae tantum
deme:
drop. 14
Ponderum aequalium potentiae sunt ut altitudinet
eorum perpendiculares supra horisontem.
Sint (Fig. 6.) pondera aequalia A et B, unum eleva
tum super horirontem HR
2
pedibus tribus 1A H, alterum
peditas duobus sBR; Ajo ette potentiam ipnus A ad po
tentiam iprcus B ut 3 ad 2. Nam si descenderit ex 1A
altitudine unius pedis, atque in 2 A quieverit, amisit potenti
am quanta ett, elevatum etse altitudine unius pedis supet
horizontem. Sed retinet adhui potentiam des cendendi, pir
L.
2AH. Et descendendo porro deinde per alterum, pedim pet
2A3A anusit tantundem adhuc semel, et descendendo denique
her 3A H tertium, tunc autem amisit omnem. Itaqe ter
haber
2. 1
m
possi
diffe
hat
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red
M.
ru
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ipsu
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db
M +
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23
28
vati
2
Und