Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

List of thumbnails

< >
121
121
122
122
123
123
124
124
125
125
126
126
127
127
128
128
129
129
130
130
< >
page |< < of 145 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/127.jpg"/>
              rea quòd impulſus reliquus ad plagam continuò maiorem ha­
                <lb/>
              beat rationem. </s>
              <s>Et ſicuti ab intervallo grad: 60 incipit motus
                <lb/>
              orbiculi A; ita motus contiguorum terminatur, ubi contactus
                <lb/>
              non niſi quadrante circuli abfuerit à plagâ. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              PROBLEMA V.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Duo puncta in peripheriâ orbiculi aßignare: in quibus orbiculi ei­
                <lb/>
              dem contigui eadem cum illo velocitate moveantur.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Secetur diameter orbiculi TK in ſex partes æquales. </s>
              <s>Sup­
                <lb/>
              ponamus verò TP
                <expan abbr="atq;">atque</expan>
              OK eſſe eiuſmodi ſegmenta: à qui­
                <lb/>
              bus ducantur lineæ perpendiculares LO. GP. </s>
              <s>Dico in pun­
                <lb/>
              ctis L. G orbiculos EC eadem cum A celeritate moveri. </s>
              <lb/>
              <s>Cùm enim PT ſit pars tertia AT; habebit plaga in A ad
                <lb/>
              plagam in P rationem triplam. </s>
              <s>Quòd ſi
                <expan abbr="itaq;">itaque</expan>
              impulſus æqua­
                <lb/>
              lis AT ſit partium 12; erit plagain P partium 4. </s>
              <s>Eſt verò
                <lb/>
              eidem æqualis plagain O; igitur reliquus impulſus in A erit
                <lb/>
                <expan abbr="quoq;">quoque</expan>
              partium 4: ac proinde per poſitionem 4 tres orbiculi A
                <lb/>
              CE: eadem velocitate moventur. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              PROBLEMA VI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Duo puncta in peripheriâ orbiculi determinare: à quicus orbiculi
                <lb/>
              contigui moveantur, tam ad ſe, quàm ad motum orbiculi his contigui
                <lb/>
              in datâ ratione.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Sit proportio data motûs orbiculorum contiguorum tri­
                <lb/>
              pla: motûs verò orbiculi reliqui ad unum ex his ſeſquialtera. </s>
              <lb/>
              <s>Secetur
                <expan abbr="itaq;">itaque</expan>
              ſemidiameter AT in ſex partes æquales: & du­
                <lb/>
              catur linea à ſecundâ diviſione, quæ à centro, perpendicularis
                <lb/>
              producta ad peripheriam: eritq plaga in A ad illam plagamin </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>