Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N1137F">
            <pb pagenum="45" xlink:href="026/01/077.jpg"/>
            <p id="N13E97" type="main">
              <s id="N13E99">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N13EA6" type="main">
              <s id="N13EA8">Colligemus etiam quid dicendum ſit de malleorum ictu; </s>
              <s id="N13EAC">ſit enim
                <lb/>
              malleus F æqualis malleo G (in his vna fere manubrij longitudinis ha­
                <lb/>
              betur ratio) ducatur arcus NM, itemque OG; </s>
              <s id="N13EB4">ictus mallei G eſt ferè
                <lb/>
              ſubduplus alterius, dum vterque malleus ſit æqualis; </s>
              <s id="N13EBA">dixi ferè, quia
                <lb/>
              motus totius mallei G non eſt omninò ſubduplus motus mallei F, quia
                <lb/>
              ſcilicet trapezus OD eſt minor ſubduplo alterius NE; </s>
              <s id="N13EC2">quotâ vero parte
                <lb/>
              ſit minor facilè poteſt ſciri opera Geometriæ: ſed hæc omnia determi­
                <lb/>
              nabimus. </s>
            </p>
            <p id="N13ECA" type="main">
              <s id="N13ECC">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              74.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N13ED8" type="main">
              <s id="N13EDA">
                <emph type="italics"/>
              Si daretur potentia motrix, quæ ſemper agere poſſet, impetus poſſet intendi
                <lb/>
              in infinitum
                <emph.end type="italics"/>
              ; </s>
              <s id="N13EE5">pater, quia quocumque dato motu poteſt dari velocior in
                <lb/>
              infinitum; igitur poteſt dari impetus intenſior, & intenſior in infinitum. </s>
            </p>
            <p id="N13EEB" type="main">
              <s id="N13EED">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N13EF9" type="main">
              <s id="N13EFB">Hîc obſerua nouum diſcrimen, quod intercedit inter impetum, &
                <lb/>
              alias qualitates; </s>
              <s id="N13F01">quæ fortè non poſſunt intendi in infinitum, ratio diſ­
                <lb/>
              criminis eſt, quia totus calor extenſus in maiore ſubiecto non poteſt
                <lb/>
              produci in minore, in quo eadem cauſa eumdem ſemper effectum pro­
                <lb/>
              ducit; </s>
              <s id="N13F0B">quia ſcilicet agit vniformiter difformiter; at verò impetus exten­
                <lb/>
              ſus in magno
                <expan abbr="denſoq́ue">denſoque</expan>
              malleo poteſt producere æqualem in maximâ
                <lb/>
              ferè pilâ. </s>
            </p>
            <p id="N13F17" type="main">
              <s id="N13F19">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              75.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N13F25" type="main">
              <s id="N13F27">
                <emph type="italics"/>
              Impetus ſimilis, id eſt, ad
                <expan abbr="eãdem">eandem</expan>
              lineam determinatus, & æqualis in in­
                <lb/>
              tenſione, non poteſt intendere alium ſimilem
                <emph.end type="italics"/>
              ; </s>
              <s id="N13F36">Probatur, quia agit tantùm ad
                <lb/>
              extra, vt tollat impedimentum per Th. 44. ſed eorum mobilium, quæ
                <lb/>
              verſus
                <expan abbr="eãdem">eandem</expan>
              partem pari velocitate mouentur, neutrum impedit al­
                <lb/>
              terius motum, vt conſtat; igitur impetus ſimilis, &c. </s>
            </p>
            <p id="N13F44" type="main">
              <s id="N13F46">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N13F52" type="main">
              <s id="N13F54">Obſerua de impetu ſimili id tantùm dici; </s>
              <s id="N13F58">ſimili inquam id eſt non
                <lb/>
              modò eiuſdem intenſionis; </s>
              <s id="N13F5E">ſed etiam eiuſdem lineæ: </s>
              <s id="N13F62">ſi enim alterum
                <lb/>
              deſit, haud dubiè ſimilis impetus non eſt; </s>
              <s id="N13F68">ſic impetus quatuor grad. in­
                <lb/>
              tendere poteſt impetum duorum graduum; </s>
              <s id="N13F70">licèt vterque ad
                <expan abbr="eãdem">eandem</expan>
              li­
                <lb/>
              neam ſit determinatus; </s>
              <s id="N13F7A">ſi verò ad diuerſas lineas determinentur; etiam
                <lb/>
              impetus vt duo poteſt intendere impetum vt quatuor. </s>
            </p>
            <p id="N13F80" type="main">
              <s id="N13F82">Obſeruabis præterea hoc Theorema ita eſſe intelligendum, vt impe­
                <lb/>
              tus mobilis præeuntis nullo modo impediatur; alioquin mobile ſucce­
                <lb/>
              dens omninò aliud vrgeret, vt conſtat. </s>
            </p>
            <p id="N13F8A" type="main">
              <s id="N13F8C">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N13F98" type="main">
              <s id="N13F9A">Hinc ſimile poteſt in aliquo caſu agere in ſimile; </s>
              <s id="N13F9E">vnde rectè colligo
                <lb/>
              id tantùm dictum eſſe ab Ariſtotele de qualitatibus alteratiuis; </s>
              <s id="N13FA4">quid
                <lb/>
              verò accidat, cum mobile graue mobili alteri ſuperponitur; dicemus
                <lb/>
              infrà. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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