Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

< >
[Figure 11]
[Figure 12]
[Figure 13]
[Figure 14]
[Figure 15]
[Figure 16]
[Figure 17]
[Figure 18]
[Figure 19]
[Figure 20]
[Figure 21]
[Figure 22]
[Figure 23]
[Figure 24]
[Figure 25]
[Figure 26]
[Figure 27]
[Figure 28]
[Figure 29]
[Figure 30]
[Figure 31]
[Figure 32]
[Figure 33]
[Figure 34]
[Figure 35]
[Figure 36]
[Figure 37]
[Figure 38]
[Figure 39]
[Figure 40]
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N19109">
            <p id="N19182" type="main">
              <s id="N19184">
                <pb pagenum="134" xlink:href="026/01/166.jpg"/>
              accelerato, tùm deinde propter impetus acquiſiti vim, à centro versùs
                <lb/>
              oppoſitum circumferentiæ punctum iret, motu certè violento, qui ta­
                <lb/>
              men ab extrinſeco non eſſet. </s>
            </p>
            <p id="N19192" type="main">
              <s id="N19194">
                <emph type="center"/>
                <emph type="italics"/>
              Hypotheſis
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N191A1" type="main">
              <s id="N191A3">
                <emph type="italics"/>
              Corpus graue projectum ſurſum tandem redit
                <emph.end type="italics"/>
              ; Hæc hypotheſis certa eſt,
                <lb/>
              & nemo eſt qui eam in dubium vocet. </s>
            </p>
            <p id="N191AE" type="main">
              <s id="N191B0">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N191BD" type="main">
              <s id="N191BF">
                <emph type="italics"/>
              Quidquid erat, & deſinit eſſe deſtruitur
                <emph.end type="italics"/>
              ; Hoc Axioma certum eſt, quip­
                <lb/>
              pe deſtrui hoc tantùm dicitur, quod deſinit eſſe. </s>
            </p>
            <p id="N191CA" type="main">
              <s id="N191CC">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N191D9" type="main">
              <s id="N191DB">
                <emph type="italics"/>
              Quidquid destruitur, ad exigentiam alicuius destruitur, ſaltem totius na­
                <lb/>
              turæ.
                <emph.end type="italics"/>
              </s>
              <s id="N191E4"> Hoc Axioma idem eſt cum Axiom. 14. l. 1. n. </s>
              <s id="N191EB">2. vnde alia expli­
                <lb/>
              catione minimè indiget; hoc ipſum etiam demonſtraui in Th.147.149.
                <lb/>
              150,&c. </s>
              <s id="N191F3">l. 1. </s>
            </p>
            <p id="N191F9" type="main">
              <s id="N191FB">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N19208" type="main">
              <s id="N1920A">
                <emph type="italics"/>
              Datur motus violentus
                <emph.end type="italics"/>
              ; demonſtro; corpus proiicitur per lineam ver­
                <lb/>
              ticalem per hyp. </s>
              <s id="N19215">1. ſed hic motus eſt à principio extrinſeco, igitur eſt
                <lb/>
              violentus per def.1. probatur minor; Primò, quia illud eſt principium,
                <lb/>
              ſeu cauſa motus, ex cuius applicatione ſemper ſequitur motus per Ax.11.
                <lb/>
              l. 1.n. </s>
              <s id="N19221">1. ſed ex applicatione potentiæ extrinſecæ v. g. arcus, manus, &c. </s>
              <s id="N19228">
                <lb/>
              ad lineam ſurſum ſemper ſequitur motus ſurſum; igitur eſt illius cauſa. </s>
              <s id="N1922D">
                <lb/>
              Secundò probatur, quia mobile projectum ſursùm mouetur adhuc ſepa­
                <lb/>
              ratum à potentia motrice per hyp. </s>
              <s id="N19233">6.l.1. igitur potentia motrix impreſ­
                <lb/>
              ſit aliquid mobili, vi cuius deinde mouetur, igitur hic motus eſt à prin­
                <lb/>
              cipio extrinſeco. </s>
            </p>
            <p id="N1923A" type="main">
              <s id="N1923C">Diceret fortè aliquis produci hunc motum ab ipſo mobili; ſed con­
                <lb/>
              trà; </s>
              <s id="N19242">igitur ſemper produceret, quod abſurdum eſt: </s>
              <s id="N19246">dicet, ad hoc vt pro­
                <lb/>
              ducat determinari debere ab aliquo, ſed contrà; </s>
              <s id="N1924C">illud à quo determina­
                <lb/>
              tur vel eſt extrinſecum, vel intrinſecum, ſi primum, ergo hic motus eſt
                <lb/>
              ſemper à principio extrinſeco, quod ſatis eſt eſſe determinans per def.1.
                <lb/>
              ſi verò eſt intrinſecum; igitur ſemper eſſet hic motus, quamdiu eſſet
                <lb/>
              ipſum mobile, quod eſt contra hyp. </s>
              <s id="N19258">1. nam reuera non ſemper mo­
                <lb/>
              uetur. </s>
            </p>
            <p id="N1925D" type="main">
              <s id="N1925F">Diceret fortè alius excitari quædam corpuſcula, à quibus mouetur
                <lb/>
              corpus graue ſursùm; ſed contrà; </s>
              <s id="N19265">nam vel ſunt in ipſo mobili illa cor­
                <lb/>
              puſcula, vel extra mobile; ſi primum; </s>
              <s id="N1926B">igitur hic motus ſemper erit ab
                <lb/>
              extrinſeco mediatè, cum ab extrinſeco excitentur; </s>
              <s id="N19271">ſed hoc ſufficit ad
                <lb/>
              hoc; vt motus dicatur violentus per def. </s>
              <s id="N19277">1. ſi verò ſunt extra mobile;
                <lb/>
              igitur motus ille eſt ſemper ab extrinſeco, idque duplici nomine. </s>
            </p>
            <p id="N1927D" type="main">
              <s id="N1927F">Denique diceret alius ex ſuppoſitione, quod terra moueatur non poſ­
                <lb/>
              ſe corpus graue proiici ſursùm per lineam verticalem, niſi tantùm ad
                <lb/>
              ſpeciem; </s>
              <s id="N19287">vt ſi quis è naui mobili ſurſum proiiceret pilam rectà omni­
                <lb/>
              nò, quoad eius fieri poſſit; videbitur enim iis, qui vehuntur eadem naui </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>