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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 162r, page id 00068193:0329
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efse
Editus
cat
Sect. WV. De Causa et Effectu activis.
titionum mensurae, quae hoc loco est potentia unius elasmatis
tensi:
Gdeop. 13:
Duorum ponderum aequalium ad eandem altitudinum
elevatorum eadem potentia ett, quamcunque habeant figuram
volumen.
Sint (Fig. 4.) pondera A et B aequalia, ad candem alti-
tudinem elivata; quae differant figura, eandem vero habeant
gravitatem specificam, adeoque et volumen aequale. Inscriban
C
tur cuique cubuli aequales utrobige et aequaliter positi, aequali
numero, qui vel exhaurient, vel differentiam relinquent data
minorem, si satis magnus sit numerus et sufficiens parvitas.
Horum eutulorum, quorum quilibet aequalis et similiter po-
situs ipsi C, sit eadem elevatio quae ipsius C, sponendo cor-
sus A vel B si tantum descenderit quantum elevatum ett C,
ampluis nunc descendere non posse adeoque nec partem ejus)
erit potentia ipsus C elevati ad altitudinem Cd mensura
potentiae (per def. 3. hic) quae cum aequaliter repetatur tam m
pa
A quam in B, erunt eorum potentrae aequales (por prop. 2.
C
. 4
hic). Quod si gravitate specifica differant, pondera, sumendi
sunt cubi unius similiter positi quidem cubis alterius, sed
maequales volumine in reciproca ratione specificarum gravi-
tatum, quos aequivalere ex natura gravitatis spejificae sup-
ponitur.
D
Sop. 13.
onderum ad eandem altitudinem perpendicularem
evatorum potentiae sunt ut pondera.
Sint (fig. 5.) pondera ABC, et LM, ad eandem altitudim
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