Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N19109">
            <p id="N1996E" type="main">
              <s id="N19978">
                <pb pagenum="142" xlink:href="026/01/174.jpg"/>
              motu naturali, in cuius progreſſione producitur ſemper imperfectior,
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              tùm in violento, in cuius progreſſione deſtruitur ſemper perfectior; </s>
              <s id="N19983">
                <lb/>
              producitur imperfectior ab eadem cauſa in minoribus temporibus, &
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              deſtruitur perfectior ab eadem cauſa in maioribus temporibus; </s>
              <s id="N1998A">& cum
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              impetus innatus ſit cauſa deſtructiua impetus violenti, habet inæqualem
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              proportionem cum ſuo effectu pro temporibus inæqualibus; </s>
              <s id="N19992">& cum
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              idem impetus innatus ſit quaſi principium crementi, vel accelerationis,
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              ſicut eſt principium retardationis; </s>
              <s id="N1999A">certè pro inæqualitate temporum eſt
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              diuerſa proportio crementorum; quo nihil clarius in hac materia meo
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              iudicio dici poteſt. </s>
            </p>
            <p id="N199A2" type="main">
              <s id="N199A4">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              36.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N199B0" type="main">
              <s id="N199B2">
                <emph type="italics"/>
              Hinc finis motus naturalis omninò conuenit cum principio motus violenti; </s>
              <s id="N199B8">
                <lb/>
              & finis huius cum principio illius
                <emph.end type="italics"/>
              ; quæcumque tandem progreſſio accipia­
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              tur; </s>
              <s id="N199C2">ſiue temporum æqualium in ſpatiis inæqualibus; ſiue ſpatio­
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              rum æqualium in temporibus inæqualibus, ſiue aſſumantur inſtan­
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              tia in progreſſione arithmetica ſimplici iuxta hos numeros 1.2.3.4. ſiue
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              aſſumantur temporis partes ſenſibiles in progreſſione Galilei iuxta hos
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              numeros 1.3.5.7. quæ omnia ex dictis neceſſariò conſequuntur. </s>
            </p>
            <p id="N199CE" type="main">
              <s id="N199D0">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              37.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N199DC" type="main">
              <s id="N199DE">
                <emph type="italics"/>
              Nec modò conuenit principium vnius cum alterius fine, & viciſſim, ſed
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              etiam aliæ partes motus in diſtantiis æqualibus
                <emph.end type="italics"/>
              ſit enim linea AG, quam
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              percurrit mobile demiſſum ex puncto A deorſum motu naturaliter ac­
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              celerato, & moueatur per 6. inſtantia, ſeu 6. tempora æqualia: </s>
              <s id="N199ED">Primo
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              inſtanti, quo percurrit ſpatium AB; </s>
              <s id="N199F3">haud dubiè, quando peruenit ad pun­
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              ctum G, habet 7. gradus impetus æquales, quia ante motum AB habebat
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              innatum; </s>
              <s id="N199FB">ſed in motu illo fluunt 6. tempora æqualia, vt dictum eſt; </s>
              <s id="N199FF">igitur
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              6. acquirit gradus impetus, quorum quidem vltimò acquiſitus nullum
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              adhuc habuit motum; </s>
              <s id="N19A07">ſed haud dubiè haberet, ſi vlteriùs hic motus pro­
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              pagaretur: </s>
              <s id="N19A0D">his poſitis imprimantur mobili in O 7.gradus impetus æqua­
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              les prioribus ſursùm motu violento, per lineam OH; </s>
              <s id="N19A13">certè primo inſtan­
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              ti motus, ſeu tempore æquali prioribus percurret ON, id eſt 6. ſpatiola; </s>
              <s id="N19A19">
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              quia licèt ſint 7.gradus; </s>
              <s id="N19A1E">attamen impetus innatus corporis grauis detra­
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              hit vnum ſpatium, ſimulque deſtruit vnum gradum, ſecundo tempore
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              percurret NM 5. tertio ML 4. quarto LK 3. quinto KI 2. ſexto IH 1.
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              igitur primum violenti ON reſpondet vltimo naturali FG ſeu ſecun­
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              dum illius quinto huius, tertium illius quarto huius, quartum tertio,
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              quintum ſecundo ſextum primo, & viciſſim; idem prorſus in progreſſione
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              Galilei accidit, aſſumptis ſcilicet partibus temporis ſenſibilibus. </s>
            </p>
            <p id="N19A2E" type="main">
              <s id="N19A30">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              38.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N19A3C" type="main">
              <s id="N19A3E">
                <emph type="italics"/>
              Hinc ad eam altitudinem aſcendit motu violento cum iis gradibus impe­
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              tus, quos habuit ab eadem altitudine decidens motu naturali
                <emph.end type="italics"/>
              ; conſtat ex
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              dictis. </s>
            </p>
          </chap>
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