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

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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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