Fabri, Honoré, Tractatus physicus de motu locali, 1646

Page concordance

< >
Scan Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <front>
          <section>
            <p id="N112CF" type="main">
              <s id="N112D1">
                <pb xlink:href="026/01/032.jpg"/>
              fligit, non quidem in centro grauitatis, id eſt, in medio, ſi ſit cy­
                <lb/>
              lindrus, vel parallelipedum; </s>
              <s id="N112DB">nec in extremitate mobili; </s>
              <s id="N112DF">ſed in eo
                <lb/>
              puncto, in quo eſt centrum impetus impreſſi, id eſt, quod æqualem
                <lb/>
              vtrinque dirimit impetum: ratio eſt; </s>
              <s id="N112E7">quia tunc totus impetus agit,
                <lb/>
              quantùm poteſt; </s>
              <s id="N112ED">illud autem punctum Geometria demonſtrat eſſe
                <lb/>
              terminum mediæ proportionalis, inter totum cylindrum, & ſub­
                <lb/>
              duplum; modò nulla ratio vectis habeatur alioquin centrum pro­
                <lb/>
              cuſſionis diſtat 2/3 ab extremitate immobili. </s>
            </p>
            <p id="N112F7" type="main">
              <s id="N112F9">10. Cùm fuſtis inflectitur, reditque ad priſtinum ſtatum, vt
                <lb/>
              videre eſt in tudicula maiore, maior ictus imprimitur: </s>
              <s id="N112FF">quia non
                <lb/>
              tantùm agit impetus extrinſecùs adueniens; </s>
              <s id="N11305">verùm etiam potentia
                <lb/>
              quædam media, quæ corpora compreſſa, vel tenſa, ad priſtinum
                <lb/>
              ſtatum reducit: hinc maximus eſt ictus tudiculæ, cùm eo inſtanti,
                <lb/>
              quo reductum eſt omninò manubrium priori rectitudini, infligitur
                <lb/>
              ictus, quia tunc vis potentiæ mediæ eſt maxima. </s>
            </p>
            <p id="N11311" type="main">
              <s id="N11313">11. Rotato flagello ideò maxima vis ineſt, quia diutiùs potentia
                <lb/>
              manet applicata: </s>
              <s id="N11319">hinc vides hoc principium eſſe vniuerſaliſſimum,
                <lb/>
              quod iactis, pulſis, & impactis competit; </s>
              <s id="N1131F">de malleorum ictu idem
                <lb/>
              prorſus dicendum eſt, quod de fuſte; </s>
              <s id="N11325">ſi autem mallei cadant
                <lb/>
              ex eadem altitudine, motu naturali accelerato, ictus ſunt vt
                <lb/>
              mallei, quia duplus malleus, v. g. duplum impetum acquirit: nam
                <lb/>
              ſingulæ partes ſeorſim æqualem impetum acquirunt. </s>
            </p>
            <p id="N11333" type="main">
              <s id="N11335">12. Si verò ex diuerſa altitudine cadant, vel ſunt æquales, vel
                <lb/>
              inæquales: </s>
              <s id="N1133B">ſi primum, ictus ſunt vt tempora, quibus cadunt: </s>
              <s id="N1133F">ſi
                <lb/>
              ſecundum, ictus ſunt in ratione compoſita temporum, & mal­
                <lb/>
              leorum: </s>
              <s id="N11347">ſi ſunt infinitæ, partes actu, nulla eſt proportio percuſſionis
                <lb/>
              granuli cadentis, & rupis ingentis grauitantis; </s>
              <s id="N1134D">ſed hoc vltimum fal­
                <lb/>
              ſum eſſe conſtat; </s>
              <s id="N11353">non poteſt tamen determinari proportio vitium
                <lb/>
              grauitationis, & percuſſionis, niſi numerus inſtantium: quibus durat
                <lb/>
              motus deorſum cognoſcatur. </s>
            </p>
            <p id="N1135B" type="main">
              <s id="N1135D">13. Leuiſſimi lapides vix emittuntur ad modicam diſtantiam; </s>
              <s id="N11361">
                <lb/>
              quia ſtatim ſeparantur à potentia: </s>
              <s id="N11366">parallelipedum cadens de or­
                <lb/>
              ſum in ſitu horizontali maximum ictum infligit in centro grauita­
                <lb/>
              tis, id eſt, in medio; </s>
              <s id="N1136E">quia tunc totus impetus agit, totus enim impe­
                <lb/>
              ditur: </s>
              <s id="N11374">in aliis punctis minor eſt ictus, iuxta proportionem maioris
                <lb/>
              diſtantiæ à prædicto centro: ſi verò percutiatur cylindrus innatans,
                <lb/>
              maxima erit vis, vel effectus ictus in centro grauitatis propter ean­
                <lb/>
              dem rationem. </s>
            </p>
          </section>
        </front>
        <body>
          <chap id="N1137F"> </chap>
        </body>
      </text>
    </archimedes>