Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N24CC8">
            <p id="N251A9" type="main">
              <s id="N251AB">
                <pb pagenum="339" xlink:href="026/01/373.jpg"/>
              18.A.ita rectam 18. A eſſe ad LA; </s>
              <s id="N251B5">quia A 16. eſt æqualis ſemicirculo L
                <lb/>
              QA, & hic arcui quadrantis L. 19. ſed vt 16.18.ad 18.A vel L 19. æqua­
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              lem, ita L 19. ad LA; igitur A eſt media proportionalis inter LA, & ar­
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              cum 18. 16. ſed de hoc aliàs. </s>
            </p>
            <p id="N251BF" type="main">
              <s id="N251C1">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              7.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N251CD" type="main">
              <s id="N251CF">
                <emph type="italics"/>
              Punctum L mouetur velociùs, & velociùs in infinitum puncto A
                <emph.end type="italics"/>
              ; </s>
              <s id="N251D8">aſſumatur
                <lb/>
              enim motus puncti L per vnicum gradum quadrantis LQ addatur ſinus
                <lb/>
              rectus vnius grad. 1745. ipſi gradui, ſcilicet 1746. eritque ſpatium con­
                <lb/>
              ſectum 3491. paulò plùs; </s>
              <s id="N251E8">detrahatur autem gradus ex ſinu ſupereſt I, ſit­
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              que ſinus verſus vnius gradus 15. certè erit ſpatium decurſum ab A da­
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              to illo tempore paulò plùs; </s>
              <s id="N251F0">ſed velocitates motuum æquàli tempore ſunt
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              vt ſpatia; </s>
              <s id="N251F6">igitur velocitas motus puncti L eſt ad velocitatem motus pun­
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              cti A, vt 3491.ad 15.id eſt vt 232.ad I; atqui ſi accipiatur in orbe ſpatium
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              minus vno gradu, erit adhuc maior proportio motus puncti L ad motum
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              puncti A. </s>
            </p>
            <p id="N25201" type="main">
              <s id="N25203">Immò, ſi ponas ſinum totum partium 1000000. & aſſumat motum L,
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              & A per vnum minutum arcus erit 2910, & eius ſinus rectus 2908.ver­
                <lb/>
              ſus verò; igitur motus A erit vt 2. motus L 5818. igitur motus L ad mo­
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              tum A per vnum minutum quadrantis, vt 2909. ad I,
                <expan abbr="atq;">atque</expan>
              ita in infinitú. </s>
            </p>
            <p id="N25211" type="main">
              <s id="N25213">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              8.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2521F" type="main">
              <s id="N25221">
                <emph type="italics"/>
              Minor rota incluſa maiori ita mouetur, vt ſit maior in illa motus centri,
                <lb/>
              quàm motus orbis
                <emph.end type="italics"/>
              ; </s>
              <s id="N2522C">ſit enim minor rota P
                <foreign lang="grc">π</foreign>
              ; </s>
              <s id="N25234">haud dubiè centrum O acqui­
                <lb/>
              ret ſpatium OE duplò maius arcu P
                <foreign lang="grc">ω</foreign>
              eo tempore, quo motus orbis per­
                <lb/>
              curret
                <expan abbr="eũdem">eundem</expan>
              arcum P
                <foreign lang="grc">ω</foreign>
              ; an verò ſingula puncta quadrantis P
                <foreign lang="grc">ω</foreign>
              reſ­
                <lb/>
              pondeant ſingulis punctis plani
                <foreign lang="grc">ω θ</foreign>
              , vel ſingula duobus, vulgaris diffi­
                <lb/>
              cultas eſt, quæ ab Ariſtotelica rota ſibi nomen fecit, quam hîc breuiter
                <lb/>
              diſcutimus.
                <lb/>
                <gap desc="hr tag"/>
              </s>
            </p>
            <p id="N2525A" type="main">
              <s id="N2525C">
                <emph type="center"/>
              DIGRESSIO
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N25263" type="main">
              <s id="N25265">
                <emph type="center"/>
                <emph type="italics"/>
              De Rota Ariſtotelica.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N25271" type="main">
              <s id="N25273">ARiſtoteles hanc difficultatem habet, quæſt. </s>
              <s id="N25276">24. Mechanicorum,
                <expan abbr="quã">quam</expan>
                <lb/>
              etiam explicat Blancanus,
                <expan abbr="proponitq́">proponitque</expan>
              ; </s>
              <s id="N25284">Merſennus in præfatione ſuæ
                <lb/>
              verſionis
                <expan abbr="mechanicarũ">mechanicarum</expan>
              Galilei; nos illam hoc loco breuiter diſcutiemus. </s>
            </p>
            <p id="N2528E" type="main">
              <s id="N25290">1. Tribus modis poteſt moueri rota in plano 1°. </s>
              <s id="N25293">ita vt motus centri
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              motui orbis ſit æqualis, id eſt vt centrum percurrat lineam rectam æqua­
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              lem arcui orbis, qui
                <expan abbr="eodẽ">eodem</expan>
                <expan abbr="tẽpore">tempore</expan>
              conuertitur. </s>
              <s id="N252A2">2°. </s>
              <s id="N252A5">ita vt motus orbis ſit mi­
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              nor motu centri, id eſt vt centrum percurrat lineam rectam
                <expan abbr="maiorẽ">maiorem</expan>
              arcu,
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              qui
                <expan abbr="eodẽ">eodem</expan>
                <expan abbr="tẽpore">tempore</expan>
              conuoluitur. </s>
              <s id="N252B8">3°. </s>
              <s id="N252BB">ita vt motus centri ſit minor motu orbis. </s>
            </p>
            <p id="N252BE" type="main">
              <s id="N252C0">2. Primum motus modum diſcuſſimus in ſuperioribus Theorematis,
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              2. verò, & 3. diſcutiemus hoc loco. </s>
              <s id="N252C5">ſit ergo in præſenti fig. </s>
              <s id="N252C8">rota incubans
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              plano CN in puncto C centro A, radio AC, quæ
                <expan abbr="aliã">aliam</expan>
              includat
                <expan abbr="concẽtricã">concentricam</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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