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>
            <pb xlink:href="063/01/124.jpg"/>
            <p type="main">
              <s>In quâ proportione ſinguli orbiculi ferantur, cùm tres con­
                <lb/>
              tigui ab æquali impelluntur, dictum Theor: 14. </s>
              <s>Quòd ſi ve­
                <lb/>
              rò idem orbiculus non niſi duos habeat ſibi contiguos; aut ipſi
                <lb/>
                <expan abbr="quoq;">quoque</expan>
              erunt contigui inter ſe, aut non contigui. ſint primùm
                <lb/>
              contigui. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA V.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Si in diametro orbiculi productâ fiat contactus orbiculorum; percu­
                <lb/>
              tiat verò hunc alius æqualis in parte oppoſitâ diametri; eo immoto u­
                <lb/>
              ter〈que〉 contiguorum movetur.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Percutiat orbiculum A alius æqualis in F: in cuius diametro
                <lb/>
              productâ FQ fiat contactus orbiculorum CD: dico immo­
                <lb/>
              to A
                <expan abbr="utrumq;">utrumque</expan>
              orbiculum C & D moveri ex illâ plagâ. </s>
              <s>Du­
                <lb/>
              catur linea hypomochlij HG: & ad eam perpendicularis AN
                <lb/>
              quæ ſecabitur in duo ſegmenta æqualia AS. NS. propterea
                <lb/>
              quòd AS ſit ſinus rectus grad: 30. ſemiſſis nimirum GI grad:
                <lb/>
              60. habebit ergo plaga ſemiſſem totius impulſûs: qui per po­
                <lb/>
              ſit:4 velocitate feretur ſubduplâ illius velocitatis. quâ orbicu­
                <lb/>
              lus A moveretur. </s>
              <s>Quod idem dicendum de orbiculo D. </s>
              <lb/>
              <s>Cùm
                <expan abbr="itaq;">itaque</expan>
              duo orbiculi C&D ſimul contineant totum impul­
                <lb/>
              ſum ex A; erit plaga perfecta: ac proinde orbiculus A à motu
                <lb/>
              conquieſcet. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA XVI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Si diameter orbiculi producta ſecet unum exorbiculis ſibi contiguis;
                <lb/>
              percutiat verò hunc alius æqualis in parte oppoſitâ diametri productæ;
                <lb/>
              eo immoto, uter〈qué〉 orbiculorum eidem contiguorum movebitur.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum