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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 165v, page id 00068193:0336
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Secit. 1V. De Causa et Effectu activis.
rop. 21.
Si solidum grave natet in liquido gravi, pars liqui
volumine aequalis parti imersae solidi, ett aequalis pondere
ti. solido.
7
Sit (Fry. 12) Solidum AB (ut lignum) cujus pars Eto
mumersa fluido (ut aquae), et sit varis magnitudo talis, ut cil
culus EM sit aequalis respondenti annulo CEs; erit aquall
51D
LBMD volumine aequalis parti immersae EB. Haec autem aqui
sumensa sustinetur a solido AB, ne descendere posrit in locus
EB; Ergo est solidi ponderi aequalis. Tantundem autem imme
gitur solidum aquae quae cunqe sit figura vasis, et omnino ueni
per manifettum et partem aquae expulsam sustineri; genert
C
liter igitur verum est tantum immongi de solido ut pars. aqu
cujus locum pars solidi imirsa occupat, sit solido toti pondet
aequalis.
Peop. 22
Duo Elartica homogenea licet magnitudine maequali
ad eundem gradum tentsa eandem vim cvercentem sustinent
Sit (7
rg. 13.) aer tubi AB, per argentum vivum mcun
bens CD, quod ea altitudine AC descenderat, compremus m spalu
et Elastrum aeris B, a quo pondus surtinetur. Sit vas quan
tumcunque E tubo communicans m B, sed ita ut communicatio
sit inter cepta por Epistomium clausum. Ajo si poneretur C pla
num aere ad eundem gradum compretso quem recestit compred
aer DB, et portea communicatio detur aperto ejustomco B m
vam virium aeris E accessionem nihil posse in pondus CD
illud attollere, sed omnia permanere ut ante. Ponamus ont
mitio Epistomium fuisse apertum et Hydrargyrum ea altitu
Ce
dine majore FC descendisse, atque ita eodem modo compresm
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