Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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Cap. 9. de
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corpuſculo
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rum
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innatã-tium
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tium</
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mutuo
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amplexu at
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que fuga.</
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<
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">IN vaſe KVZG aqua pleno innatet lamina æneą
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æquè craſſa ABCD, quæ efficiat in aqua foueam̨
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KBCG, cuius altitudo SC & RB. dico SC ad DC mi
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norem proportionem habere quam grauitas in ſpecie
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ipſius laminæ AC habet ad aquæ grauitatem. </
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<
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id
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">quia
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x
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hydroſtaticis moles aquæ æqua
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lis ſpatio GKBC æquè ponde
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rat, ac lamina AC vnà cum ae
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re GKAD (qui ob inſenſibilem
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eius grauitatem negligi poteſt)
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& pondus abſolutum laminæ AC ad abſolutam gra
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uitatem aquæ eiuſdem molis AC eamdem proportio
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nem habet quam grauitas ſpecifica laminæ AC ad
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ſpecificam grauitatem aquæ, ergo grauitas laminæ ad
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aquæ grauitatem in ſpecie eamdem proportionem̨
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habet, quam pondus molis aquæ GKBC abſolutæ ad
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pondus molis aquæ AC, ſeù proportionem, quam ha
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bet moles GKBC ad molem AC: eſt verò priſma RB
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CS minus ſolido inæqualium baſium GKBC, ergo
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priſma RBCS ad AC ſeù altitudo SC ad DC minorem
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proportionem habet, quàm laminæ AC grauitas in
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ſpecie ad aquæ grauitatem. </
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<
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">Itaque vulgata propoſi
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tio vera eſſet ſi ſpatium cauitatis ab aere repletum
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haberet parietes AK, & DG directos, & perpen
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diculares ad horizontem, ſcilicèt ſi baſis KG æqua
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lis foret ipſi AD; at quia ob curuitatem inſignem ſu
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perficierum AK & DG, ſemper altitudo CS ad craſſi
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tiem laminæ DC minorem proportionem habet
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quã
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grauitas ſpecifica ſolidi AC ad eam,
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quã
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habet aqua. </
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