DelMonte, Guidubaldo, Mechanicorvm Liber
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    <archimedes>
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        <body>
          <chap id="N128CF">
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              <s id="id.2.1.77.2.1.1.0.b">
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              ad BA. </s>
              <s id="N12AF6">pondera FG æqueponderabunt. </s>
              <s id="id.2.1.77.2.1.2.0">cùm autem ſit CB æqua
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              lis BD, pondera quoq; FE æqualia æqueponderabunt. </s>
              <s id="id.2.1.77.2.1.3.0">pondera
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              verò FEG in libra, ſeu vecte DBA appenſa, cuius fulcimentum
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              eſt B, non æqueponderabunt; ſed ex parte A deorſum tendent. </s>
              <s id="id.2.1.77.2.1.4.0">po
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              natur itaq; in A tanta vis, vt pondera FEG æqueponderent; erit
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              potentia in A æqualis ponderi G. </s>
              <s id="N12B0B">pondera enim FE
                <expan abbr="æqueponderãt">æqueponderant</expan>
              ,
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              & vis in A nihil aliud efficere debet, niſi ſuſtinere
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              G, ne deſcen
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              dat. </s>
              <s id="id.2.1.77.2.1.5.0">& quoniam pondera FEG, & potentia in A æqueponderant,
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              demptis igitur FG ponderibus, quæ æqueponderant, reliqua æque
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              ponderabunt; ſcilicet potentia in A ponderi E, hoc eſt potentia
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              in A pondus E ſuſtinebit, ita vt vectis AB maneat, vt prius erat. </s>
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              Cùm autem potentia in A ſit æqualis ponderi G, & pondus E pon
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              deri F æquale; habebit potentia in A ad pondus E eandem pro­
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              portionem, quam habet BD, hoc eſt BC ad BA. </s>
              <s id="N12B2A">quod demon­
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              ſtrare oportebat. </s>
            </p>
            <p id="id.2.1.77.3.0.0.0" type="head">
              <s id="id.2.1.77.3.1.1.0">COROLLARIVM I. </s>
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            <p id="id.2.1.77.4.0.0.0" type="main">
              <s id="id.2.1.77.4.1.1.0">Ex hoc etiam (vt prius) manifeſtum eſſe po­
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              teſt, ſi ponatur pondus E propius fulcimento B,
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              vt in H; minorem potentiam in A ſuſtinere poſ­
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              ſe ipſum pondus. </s>
            </p>
            <p id="id.2.1.77.5.0.0.0" type="main">
              <s id="id.2.1.77.5.1.1.0">Minorem enim proportionem habet HB ad BA, quam CB ad
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              BA. </s>
              <s id="N12B4B">& quò propius pondus erit fulcimento, adhuc ſemper mino
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              rem poſſe potentiam ſuſtinere pondus E ſimiliter oſtendetur. </s>
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            <p id="id.2.1.78.1.0.0.0" type="margin">
              <s id="id.2.1.78.1.1.1.0">
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              8
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              Quinti.
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            <p id="id.2.1.79.1.0.0.0" type="head">
              <s id="id.2.1.79.1.1.1.0">COROLLARIVM II. </s>
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            <p id="id.2.1.79.2.0.0.0" type="main">
              <s id="id.2.1.79.2.1.1.0">Sequitur etiam potentiam in A ſemper mino
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              rem eſſe pondere E. </s>
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            <p id="id.2.1.79.3.0.0.0" type="main">
              <s id="id.2.1.79.3.1.1.0">Sumatur enim inter AB quoduis punctum C, ſemper BC
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              minor erit BA. </s>
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          </chap>
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    </archimedes>
Impressum