Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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1
eſt
cylindri IG, intelligatur aqua primò eleuari
ſitu
T & deprimi in dextro canali in G, & hinc eleua­
ta
aqua ad I deſcendat à T ad X coniungantur quę
duæ
rectæ lineæ AG, & BH ſe ſecantes in M, eritque
punctum
Min horizontali EL conſtitutum, propterea
quod
duo cylindri aquæ AB, & HG æquales ſunt in­
ter
ſe, cum ſemiſſes ſint cylindrorum æqualium TX &
IG
, ergo altitudo AB ad HG eſt vt eiuſdem cylindri
baſis
H ad baſim A: eadem ratione AE ad LG erit vt
baſis
H ad basim A quare altitudo AE ad LG erit vt AB
ad
HG, sunque duæ rectæ lineæ AE & GL perpendicula
res
ad horizontalem FG, vel EL, & ideò inter ſe paral­
lelæ
, ergo ob ſimilitudinem triangulorum vt AM ad
MG
ita erit BM ad MH, nec non EM ad ML, & ideo
rectæ
AG, BH, & EL ſe mutuo ſecabunt in eodem̨
puncto
M. poſtea vt moles aquæ XBF vnà cum GHI
ad
molem aquæ IHG ita fiat diſtantia HB ad BQ, &
diuidendo
, vt moles aquæ XBF ad GHI ita erit di­
ſtantia
HQ ad QB, ideoque ex elementis mechanicis
punctum
Q erit centrum grauitatis aquæ XBF vnà
cum
GHI. quando verò aqua erat in ſummitate T &
canalis
GLV omninò exhauſtus erat, tunc quidem̨
centrum
grauitatis totius aquæ TAF perſiſtens
puncto
A medio eiuſdem canalis perindè operare­
tur
ac ſi ſuſpenſus fuiſſet cylindrus èx puncto A: de­
preſſa
poſtmodum aqua vſque ad Y & eleuata vſque
ad
L in oppoſito canali, denuo centrum grauitatis re­
pertum
prædictæ aquæ exiſtet in puncto R & tandem
depreſſa
aqua vſque ad A in primo caſu & vſque ad

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