Borelli, Giovanni Alfonso - De motionibus naturalibus a gravitate pendentibus

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

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1

Cap. 2. dę
momentis
grauium in
fluido inna
tantium

SIt pondus A maius, B verò minus alligata extre
mitatibus funis ADB, qui ſupponatur omninò
grauitate carere, & reuoluatur circa trochleam CDE
conuertibilem circa axim fixum F. patet quòd funes
AC, & BE perpendiculariter ad ho

10[Figure 10]
rizontem CE prementes, & extenſi
contingunt peripheriam rotæ in ter
minis oppoſitis C, & E eiuſdem dia
metri, ſeu libræ horizontalis, ergo
funes CA, & EB ſunt inter ſe paralle
li; coniungatur poſtea recta linea AB,
ſeceturque bifariam in G, & vt pon
dus A ad B ita fiat diſtantia BI ad IA
manifeſtum eſt (ex mechanicis) punc
tum I eſſe centrum grauitatis com
munis duorum colligatorum ponde
rum A & B, funis enim hanc propor
tionem non alterat, cùm nullius gra
uitatis ſupponatur: aſcendat poſtea
pondus minus B vbicumque ad L, & deprimatur ma
ius pondus A vſque ad K. dico quod ambo in com
muni centro grauitatis deſcendunt circa libræ cen
trum, ſeu fulcimentum ſtabile G motu directo, & per
pendiculari ad horizontem. coniungatur recta lineą
KL quia funis ADB æqualis, imò idem eſt, quàm K
DL, igitur ablato communi ADL erit deſcenſus AK
æqualis aſcenſui BL; quare in triangulis ſimilibus
ob æquidiſtantiam laterum AK & BL homologorum
vt AK ad BL ita erit AG ad GB & ita pariter KML

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