Fabri, Honoré, Tractatus physicus de motu locali, 1646

Page concordance

< >
Scan Original
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N22A20">
            <p id="N22A52" type="main">
              <s id="N22A85">
                <pb pagenum="298" xlink:href="026/01/332.jpg"/>
              punctum proximum ſuo centro grauitatis, ſic v. g.
                <lb/>
              trabs trabi ſuperimpoſita libratur, & vibratur.
                <lb/>
                <gap desc="hr tag"/>
              </s>
            </p>
            <p id="N22A96" type="main">
              <s id="N22A98">
                <emph type="center"/>
                <emph type="italics"/>
              DEFINITIO I.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22AA4" type="main">
              <s id="N22AA6">
                <emph type="italics"/>
              VIbratio funependuli primæ ſpeciei eſt motus circularis, quo aſcendit, &
                <lb/>
              deſcendit funependulum
                <emph.end type="italics"/>
              ; </s>
              <s id="N22AB1">ſunt autem aliæ æquales, aliæ inæquales: </s>
              <s id="N22AB5">
                <lb/>
              æquales ſunt, quæ ſunt eiuſdem radij, inæquales è contrario: </s>
              <s id="N22ABA">aliæ ſimi­
                <lb/>
              les, quæ ſimiles arcus complectuntur; diſſimiles è contrario: </s>
              <s id="N22AC0">aliæ æquè
                <lb/>
              diuturnæ, quæ temporibus æqualibus perficiuntur: </s>
              <s id="N22AC6">aliæ integræ, quarum
                <lb/>
              deſcenſus integrum quadrantem comprehendit; non integræ è contra­
                <lb/>
              rio; </s>
              <s id="N22ACE">portio vetò vibrationis eſt arcus; ſed hæc omnia in propoſito. </s>
              <s id="N22AD2">Sche­
                <lb/>
              mate explicamus; </s>
              <s id="N22AD8">ſit enim plumbeus globus E appenſus fune EA ex
                <lb/>
              puncto A immobili, AE eſt radius, vel longitudo funependuli E, NEC
                <lb/>
              eſt vibratio integra, LER non integra, LE portio vibrationis NEC,
                <lb/>
              NL & MF portiones ſimiles, MDB, NEC vibrationes inæquales: ex
                <lb/>
              his reliqua facilè intelligi poterunt. </s>
            </p>
            <p id="N22AE4" type="main">
              <s id="N22AE6">
                <emph type="center"/>
                <emph type="italics"/>
              Definitio
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22AF3" type="main">
              <s id="N22AF5">
                <emph type="italics"/>
              Momentum eſt exceſſus virtutis mouentis ſupra reſistentiam alterius.
                <emph.end type="italics"/>
              v. g.
                <lb/>
              ſint brachia vectis inæqualia, momentum eſt in longiore ea vis, qua de­
                <lb/>
              ſcendens deorſum ſurſum attollit minus ſeu breuius. </s>
            </p>
            <p id="N22B04" type="main">
              <s id="N22B06">
                <emph type="center"/>
                <emph type="italics"/>
              Definitio
                <emph.end type="italics"/>
              3.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22B13" type="main">
              <s id="N22B15">
                <emph type="italics"/>
              Tenſio eſt vis allata ab extrinſeco corpore, qua augetur eius extenſio
                <emph.end type="italics"/>
              ; </s>
              <s id="N22B1E">res
                <lb/>
              eſt clara in tenſo fune, quomodocunque id fiat, quod hîc non diſcutio;
                <lb/>
              compreſſio verò eſt vis illata ab extrinſeco corpori, qua contrahitur eius
                <lb/>
              extenſio v.g. in intorto fune. </s>
            </p>
            <p id="N22B2A" type="main">
              <s id="N22B2C">Obſeruabis autem ad tenſionem, & compreſſionem requiri, vt ſubla­
                <lb/>
              ta illa vi extrinſeca, vel impedimento admoto corpus tenſum, vel com­
                <lb/>
              preſſum ad priſtinam extenſionem ſeſe reducat; neque diſputo de mo­
                <lb/>
              do, quo id fieri poſſit, qui alterius loci eſt. </s>
            </p>
            <p id="N22B38" type="main">
              <s id="N22B3A">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22B47" type="main">
              <s id="N22B49">
                <emph type="italics"/>
              Corpus graue funependulum à ſuæ quiete, vel è ſuo centro grauitatis remo­
                <lb/>
              tum deſcendit ſuâ ſponte, iterumque aſcendit, id eſt vibratur
                <emph.end type="italics"/>
              ; cer­
                <lb/>
              tum eſt. </s>
            </p>
            <p id="N22B56" type="main">
              <s id="N22B58">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22B65" type="main">
              <s id="N22B67">
                <emph type="italics"/>
              Funependula longiora maiore tempore ſuam vibrationam conficiunt, bre­
                <lb/>
              uiora minore
                <emph.end type="italics"/>
              ; quod etiam certum eſt. </s>
            </p>
            <p id="N22B72" type="main">
              <s id="N22B74">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              3.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22B81" type="main">
              <s id="N22B83">
                <emph type="italics"/>
              Motus naturalis eſt acceleratus in tempore ſenſibili in proportione nume­
                <lb/>
              rorum
                <emph.end type="italics"/>
              1.3.5.7.
                <emph type="italics"/>
              &c.
                <emph.end type="italics"/>
              quod multis explicatum eſt lib. 2. ſi verò acceleratio </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum