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

Table of figures

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              Cap. 9. de
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              corpuſculo­
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              rum
                <expan abbr="innatã-tium">innatan­
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                tium</expan>
              mutuo
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              amplexu at­
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              que fuga.</s>
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              <s id="s.002110">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. </s>
              <s id="s.002111">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. </s>
              <s id="s.002112">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
                <expan abbr="quã">quam</expan>
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              grauitas ſpecifica ſolidi AC ad eam,
                <expan abbr="quã">quam</expan>
              habet aqua. </s>
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