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

Table of figures

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[51. Figure]
[52. Figure]
[53. Figure]
[54. Figure]
[55. Figure]
[56. Figure]
[57. Figure]
[58. Figure]
[59. Figure]
[60. Figure]
[61. Figure]
[62. Figure]
[63. Figure]
[64. Figure]
[65. Figure]
[66. Figure]
[67. Figure]
[68. Figure]
[69. Figure]
[70. Figure]
[71. Figure]
[72. Figure]
[73. Figure]
[74. Figure]
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[78. Figure]
[79. Figure]
[80. Figure]
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                <lb/>
              tuor vires motiuas, quæ ſibi mutuò aduerſantur, &
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              in libra imaginaria BI operantur, vt nimirùm nulla
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              earum otiari queat, ſed omnes ſimùl agant, & im­
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              pellant, igitur ex propoſitionibus 50. & 54. conatus,
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              ſeù impetus quo aer F impellitur ſursùm in aqua à G
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              versùs R ratione leuitatis menſurari debet ab ex­
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              ceſſu 2. graduum quo leuitas eiuſdem aeris ſuperat
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              leuitatem aquæ circumfuſæ, & è
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              conatus aquæ
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              contra aerem efficitur ab exceſſu grauitatis aquæ D,
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              ſupra grauitatem aeris F paritèr gr. 2. & proindè
                <expan abbr="">dum</expan>
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              aqua deorsùm deſcendere conatur neceſſariò aerem
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              F exprimit, ac
                <expan abbr="ſursũm">ſursum</expan>
              impellit; ſuntque hæ duæ dif­
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              ferentiæ, ſeù exceſſus virium contrariæ inter ſe, ſci­
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              licèt vna in libra imaginaria ſursùm impellit, altera
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              verò deorsùm igitur vniuerſalis conatus, & impetus
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              totalis quo aer F aſcendit in aqua, menſurari debet
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              ab aggregato eorumdem duorum exceſſuum, quod
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                <arrow.to.target n="marg149"/>
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              eſt gr. 4. non verò à differentia leuitatum, ſolummo­
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              dò gr. 2. Sed hoc eſt falſum contra experientiam,
                <expan abbr="cõ-tra">con­
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                tra</expan>
              aduerſarij aſſertum, & contra ea, quæ ab Archi­
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              mede demonſtrata ſunt, quia nimirùm conatus, &
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              impetus quo fertur aerea pila ſursùm in aqua æqua­
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              lis eſt differentiæ ponderum aeris, & aquę, igitur
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              verum
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              eſt leuitatem poſitiuam in hac operati­
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              one concurrere. </s>
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              Cap. 4. poſi­
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              tiuam leui­
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              tatem noņ
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              dari.</s>
            </p>
            <p type="margin">
              <s id="s.000605">
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              Prop. 54.</s>
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            <p type="main">
              <s id="s.000606">Vſque adhùc non conſiderauimus difficultatem,
                <lb/>
              aut impedimentum, quod affert medium fluidum̨
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              motui aſcenſus, vel deſcenſus corporum, quæ in ip­
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              ſo feruntur, erit igitur operæpretium perpenderę </s>
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