Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N1A407">
            <p id="N1A475" type="main">
              <s id="N1A48C">
                <pb pagenum="154" xlink:href="026/01/186.jpg"/>
              tum ad
                <expan abbr="eãdem">eandem</expan>
              lineam determinatam, deorſum, v.g. in mobili proiecto; </s>
              <s id="N1A49B">
                <lb/>
              nec enim eſt motus purè naturalis, nec etiam violentus, vt conſtat; igi­
                <lb/>
              tur mixtus. </s>
            </p>
            <p id="N1A4A2" type="main">
              <s id="N1A4A4">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A4B1" type="main">
              <s id="N1A4B3">
                <emph type="italics"/>
              Cum proiicitur corpus per lineam horizontalem, vel inclinatum ſurſum,
                <lb/>
              vel deorſum mobile percurrit lineam curuam
                <emph.end type="italics"/>
              ; quod etiam pueri ſciunt, qui
                <lb/>
              diſco ludunt. </s>
            </p>
            <p id="N1A4C0" type="main">
              <s id="N1A4C2">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A4CF" type="main">
              <s id="N1A4D1">
                <emph type="italics"/>
              Globus etiam plumbeus è ſummo malo malo mobilis nauis demiſſus per
                <lb/>
              lineam perpendicularem deorſum minimè cadit, ſed per curuam inclinatam
                <emph.end type="italics"/>
              : </s>
              <s id="N1A4DC">
                <lb/>
              hæc hypotheſis mille ſaltem nititur experimentis; </s>
              <s id="N1A4E1">modò ſufficiat quod
                <lb/>
              ſit; nam propter quid ſit, demonſtrabo. </s>
            </p>
            <p id="N1A4E7" type="main">
              <s id="N1A4E9">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              3.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A4F6" type="main">
              <s id="N1A4F8">
                <emph type="italics"/>
              Proiectum per horizontalem ſub finem motus minùs ferit quàm initio, imò
                <lb/>
              & proiectum per inclinatam deorſum
                <emph.end type="italics"/>
              ; </s>
              <s id="N1A503">hæc hypotheſis centies probata fuit;
                <lb/>
              nec in dubium reuocari poteſt. </s>
            </p>
            <p id="N1A509" type="main">
              <s id="N1A50B">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A518" type="main">
              <s id="N1A51A">
                <emph type="italics"/>
              Omnis impetus qui mobili ineſt dum ipſum mouetur, præſtat aliquid ad mo­
                <lb/>
              tum
                <emph.end type="italics"/>
              ; </s>
              <s id="N1A525">vel enim retardat, vt impetus innatus retardat violentum, vt ſuprà
                <lb/>
              diximus; vel ad motum vnà cum alio, vel ſolus concurrit. </s>
              <s id="N1A52B">Ax.2. </s>
            </p>
            <p id="N1A52E" type="main">
              <s id="N1A530">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A53D" type="main">
              <s id="N1A53F">
                <emph type="italics"/>
              Ille impetus qui alium retardat, haud dubiè retardat tantùm pro rata
                <emph.end type="italics"/>
              ;
                <lb/>
              hoc etiam ſuprà demonſtrauimus, & qui deſtruitur, deſtruitur quoque
                <lb/>
              pro rata, ne ſit fruſtrà qui deſtruitur. </s>
            </p>
            <p id="N1A54C" type="main">
              <s id="N1A54E">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              3.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A55B" type="main">
              <s id="N1A55D">
                <emph type="italics"/>
              Ille impetus qui cum alio ad
                <expan abbr="eũdem">eundem</expan>
              motum concurrit, concurrit etiam pro
                <lb/>
              rata
                <emph.end type="italics"/>
              ; hoc etiam ſuprà demonſtratum eſt, eſt enim cauſa neceſſaria, igitur
                <lb/>
              quantum poteſt concurrit, igitur pro rata ſuæ virtutis. </s>
            </p>
            <p id="N1A56E" type="main">
              <s id="N1A570">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              4.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A57D" type="main">
              <s id="N1A57F">
                <emph type="italics"/>
              Licèt ſint plures impetus in eodem mobili, non ſunt tamen plures ſimul li­
                <lb/>
              neæ motus
                <emph.end type="italics"/>
              ; ne mobile ſit ſimul in pluribus locis. </s>
            </p>
            <p id="N1A58A" type="main">
              <s id="N1A58C">
                <emph type="center"/>
                <emph type="italics"/>
              Poſtulatum
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A599" type="main">
              <s id="N1A59B">
                <emph type="italics"/>
              Liceat aſſumere quamlibet coniugationem motuum,
                <emph.end type="italics"/>
              v. g. vel duorum æ­
                <lb/>
              quabilium, vel alterius æquabilis, & alterius retardati, vel alterius æqua­
                <lb/>
              bilis, & alterius accelerati, vel alterius retardati, & alterius accelera­
                <lb/>
              ti, &c. </s>
            </p>
            <p id="N1A5AD" type="main">
              <s id="N1A5AF">
                <emph type="center"/>
                <emph type="italics"/>
              Poſtulatum
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A5BC" type="main">
              <s id="N1A5BE">
                <emph type="italics"/>
              Illa linea vocetur curua quæ conſtat infinitis prope lateribus polygoni.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1A5C5" type="main">
              <s id="N1A5C7">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A5D4" type="main">
              <s id="N1A5D6">
                <emph type="italics"/>
              Motus mixtus ex duobus æquabilibus æqualibus eſt rectus
                <emph.end type="italics"/>
              ; ſit enim mo-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>