Fabri, Honoré, Tractatus physicus de motu locali, 1646

Page concordance

< >
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1EE3A">
            <p id="N20E38" type="main">
              <s id="N20E62">
                <pb pagenum="266" xlink:href="026/01/300.jpg"/>
              plani reflectentis; Secundò aër reſiliens; </s>
              <s id="N20E6D">Tertiò ſectio ipſa, vt ſic lo­
                <lb/>
              quar, diuiſionis, ſeu conflictus aliarum partium: idem, cæteris paribus, de
                <lb/>
              lapide, cuius mille particulæ reſiliunt. </s>
            </p>
            <p id="N20E75" type="main">
              <s id="N20E77">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              93.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20E83" type="main">
              <s id="N20E85">
                <emph type="italics"/>
              Globus reflectens, qui ab ictu alterius mouetur, non mouetur ipſo instanti con­
                <lb/>
              tactus
                <emph.end type="italics"/>
              ; prob. </s>
              <s id="N20E90">quia eo primum inſtanti ab alio globo accipit impetum; ſed
                <lb/>
              primo inſtanti, quo eſt impetus, non eſt motus, vt demonſtratum eſt lib.
                <lb/>
              1.igitur globus reflectens, &c. </s>
              <s id="N20E99">mouetur tamen. </s>
              <s id="N20E9C">Secundò inſtans; vnde
                <lb/>
              vno tantùm inſtanti contactus eſt. </s>
            </p>
            <p id="N20EA1" type="main">
              <s id="N20EA3">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              94.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20EAF" type="main">
              <s id="N20EB1">
                <emph type="italics"/>
              Hinc colligo produci illum impetum ipſo inſtanti contactus
                <emph.end type="italics"/>
              ; </s>
              <s id="N20EBA">alioqui inſtan­
                <lb/>
              ti ſequenti non eſſet motus; </s>
              <s id="N20EC0">immò daretur quies in puncto reflexionis; </s>
              <s id="N20EC4">
                <lb/>
              quippe, ſi tantùm ſecundo inſtanti produceretur, fieret contactus in duo­
                <lb/>
              bus inſtantibus; igitur eſſet quies. </s>
            </p>
            <p id="N20ECB" type="main">
              <s id="N20ECD">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              95.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20ED9" type="main">
              <s id="N20EDB">
                <emph type="italics"/>
              Figura corporis impacti variare poteſt reflexionem
                <emph.end type="italics"/>
              ; ſi enim corpus impa­
                <lb/>
              ctum ſit parallelipedum v. g. multiplex eſſe poteſt reflexionis variatio
                <lb/>
              pro diuerſo appulſu, vt conſideranti patebit. </s>
            </p>
            <p id="N20EEC" type="main">
              <s id="N20EEE">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              96.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20EFA" type="main">
              <s id="N20EFC">
                <emph type="italics"/>
              Si impetus eſſet tantùm determinatus ad vnam lineam; </s>
              <s id="N20F02">nulla daretur re­
                <lb/>
              flexio
                <emph.end type="italics"/>
              ; patet, quia nulla daretur cauſa reflexionis, quæ tantùm eſt impe­
                <lb/>
              tus prior ad nouam lineam determinatus ratio plani oppoſiti. </s>
            </p>
            <p id="N20F0D" type="main">
              <s id="N20F0F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              97.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20F1B" type="main">
              <s id="N20F1D">
                <emph type="italics"/>
              Quò angulus incidentiæ eſt obliquior, faciliùs fit reflexio
                <emph.end type="italics"/>
              ; </s>
              <s id="N20F26">quia minor por­
                <lb/>
              tio impetus deſtruitur quamuis per accidens; </s>
              <s id="N20F2C">igitur motus propagatur
                <lb/>
              faciliùs; adde quod noua determinatio minùs recedit à priori. </s>
            </p>
            <p id="N20F32" type="main">
              <s id="N20F34">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20F40" type="main">
              <s id="N20F42">Primò obſeruabis cauſæ reflexionis eſſe multiplices; </s>
              <s id="N20F46">ſcilicet planum
                <lb/>
              reflectens, priorem impetum permanentem, nouam determinationem: </s>
              <s id="N20F4C">in
                <lb/>
              plano verò reflectente conſiderantur impenetrabilitas, durities, & im­
                <lb/>
              mobilitas: </s>
              <s id="N20F54">in priore impetu conſideratur capacitas ad nouam lineam
                <lb/>
              motus, & ſufficiens intenſio ad hoc, vt aliquid impetus ab ictu vel con­
                <lb/>
              tactu remaneat; </s>
              <s id="N20F5C">denique noua determinatio, ſi radius incidentiæ ſit
                <lb/>
              perpendicularis, debet eſſe maior priore; </s>
              <s id="N20F62">alioqui nulla erit reflexio; ſi
                <lb/>
              verò linea incidentiæ ſit obliqua, poteſt eſſe maior, vel minor, vel
                <lb/>
              æqualis. </s>
            </p>
            <p id="N20F6A" type="main">
              <s id="N20F6C">Secundò obſeruabis veriſſimam cauſam reflexionis poſitam eſſe in de­
                <lb/>
              terminatione noua, ratione cuius poteſt eſſe motus; </s>
              <s id="N20F72">igitur impetus non
                <lb/>
              eſt fruſtrà; igitur non debet deſtrui ſecundùm illam portionem, quæ
                <lb/>
              non eſt fruſtrà. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>