Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N19109">
            <p id="N1A276" type="main">
              <s id="N1A28E">
                <pb pagenum="151" xlink:href="026/01/183.jpg"/>
                <expan abbr="etiã">etiam</expan>
              vulgaribus repugnant; immò & cunctis ferè præmiſſis Theorematis. </s>
            </p>
            <p id="N1A29F" type="main">
              <s id="N1A2A1">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              83.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A2AD" type="main">
              <s id="N1A2AF">
                <emph type="italics"/>
              Motus violentus non tendit ad quietem per omnes tarditatis gradus, vt
                <lb/>
              paſſim aſſerit Galileus
                <emph.end type="italics"/>
              ; </s>
              <s id="N1A2BA">Primò, quia non ſunt infinita inſtantia, ſed retarda­
                <lb/>
              tur tantùm ſingulis inſtantibus; </s>
              <s id="N1A2C0">Secundò in medio denſiore minùs du­
                <lb/>
              rat; </s>
              <s id="N1A2C6">igitur non tranſit per tot gradus tarditatis; </s>
              <s id="N1A2CA">præterea in plano incli­
                <lb/>
              nato ſurſum în minore proportione retardatur motus, quod etiam in
                <lb/>
              plano horizontali certiſſimum eſt; quorum omnium rationes ſuo loco
                <lb/>
              videbimus. </s>
            </p>
            <p id="N1A2D4" type="main">
              <s id="N1A2D6">Nec eſt quod aliqui dicant infinito tribui non poſſe hæc prædicata
                <lb/>
              æqualitatis vel inæqualitatis, quod falſum eſt, loquamur de infinito actu; </s>
              <s id="N1A2DC">
                <lb/>
              ſi enim eſſet numerus infinitus hominum, nunquid verum eſſet dicere
                <lb/>
              numerum oculorum eſſe maiorem numero hominum; </s>
              <s id="N1A2E3">nec eſt quod ali­
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              qui confugiant ad diſiunctiones; </s>
              <s id="N1A2E9">nos rem iſtam ſuo loco fusè tractabi­
                <lb/>
              mus & demonſtrabimus, ni fallor, cum Ariſtotele, fieri non pòſſe vt ſit
                <lb/>
              aliquod creatum infinitum actu; </s>
              <s id="N1A2F1">licèt vltrò concedamus plura eſſe infi­
                <lb/>
              nita potentiâ; & verò certum eſt infinito potentiâ non ineſſe huiuſmodi
                <lb/>
              prædicata æqualitatis, vel inæqualitatis. </s>
            </p>
            <p id="N1A2F9" type="main">
              <s id="N1A2FB">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              84.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A307" type="main">
              <s id="N1A309">
                <emph type="italics"/>
              Immò ſi tranſiret mobile ſursùm proiectum per omnes tarditatis gradus,
                <lb/>
              nunquam profectò deſcenderat
                <emph.end type="italics"/>
              ; </s>
              <s id="N1A314">quia cum ſingulis inſtantibus ſinguli gra­
                <lb/>
              dus reſpondeant, & duo inſtantia ſimul eſſe non poſſint; </s>
              <s id="N1A31A">nunquam certè
                <lb/>
              verum eſſet dicere fluxiſſe infinita; </s>
              <s id="N1A320">igitur nec mobile per infinitos tar­
                <lb/>
              ditatis gradus ad quietem perueniſſe; hoc Theorema ſupponit eſſe tan­
                <lb/>
              tùm finita inſtantia. </s>
            </p>
            <p id="N1A328" type="main">
              <s id="N1A32A">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              85.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A336" type="main">
              <s id="N1A338">
                <emph type="italics"/>
              Reſiſtentia aëris est maior initio, quàm in fine motus violenti,
                <emph.end type="italics"/>
              vt conſtat ex
                <lb/>
              dictis, quia initio motus eſt velocior, igitur plures partes aëris æquali
                <lb/>
              tempore reſiſtunt; in fine verò è contrario. </s>
            </p>
            <p id="N1A345" type="main">
              <s id="N1A347">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              86.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A353" type="main">
              <s id="N1A355">
                <emph type="italics"/>
              Hinc oppoſita eſt omninò ratio reſistentia, quæ ſequitur ex motu violento illi,
                <lb/>
              quæ cum naturali eſt coniuncta,
                <emph.end type="italics"/>
              hæc enim initio minor, in fine maior, illa
                <lb/>
              verò initio maior, & in fine minor; hinc prima creſcit cam ſuo motu,
                <lb/>
              ſecunda cum ſuo decreſcit. </s>
            </p>
            <p id="N1A364" type="main">
              <s id="N1A366">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              87.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A372" type="main">
              <s id="N1A374">
                <emph type="italics"/>
              Decreſcit igitur impetus eadem proportione, qua decreſcit reſiſtentia
                <emph.end type="italics"/>
              ; vt pa­
                <lb/>
              tet ex dictis; igitur in toto motu eadem eſt reſiſtentiæ proportio. </s>
            </p>
            <p id="N1A37F" type="main">
              <s id="N1A381">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              88.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A38D" type="main">
              <s id="N1A38F">
                <emph type="italics"/>
              Variæ ſunt potentiæ motrices, à quibus mobile ſurſum proiici potest motu
                <lb/>
              violento,
                <emph.end type="italics"/>
              v.g. potentia motrix animantium, potentia motrix grauium mo­
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              bili ſcilicet ſurſum repercuſſo; potentia motrix, quæ ſequitur ex com­
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              preſſione & rarefactione corporum, ſed de his omnibus aliàs. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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