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

List of thumbnails

< >
11
11
12
12
13
13
14
14
15
15
16
16
17
17
18
18
19
19
20
20
< >
page |< < of 145 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/113.jpg"/>
                <expan abbr="quoq;">quoque</expan>
              inferunt plagam. </s>
              <s>Non igitur huius ratione videtur
                <lb/>
              differre motus; verùm acceleratio ad partes ſummas ad ve­
                <lb/>
              ctem referri debet. </s>
              <s>
                <expan abbr="Atq;">Atque</expan>
              inde ſequitur, cylindrum ab æqua­
                <lb/>
              li cylindro percuſſum inæqualiter moveri. </s>
              <s>Et cùm orbiculus
                <lb/>
              ad alium ſibi æqualem, eo modo habeat, quo cylindrus; ne­
                <lb/>
              ceſſe illâ ſucceſſione orbiculorum in plano motum deficere. </s>
              <lb/>
              <s>Vtergo cylindrus æqualiter moveatur ab alio cylindro; inæ­
                <lb/>
              qualis eſſe debet plaga: & tanto maior propè baſim, quanto
                <lb/>
              in ſummo augetur ratio vectis. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA VII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Si duo orbiculi ſimul iuncti & æquales percutiant alios duos, ſimul
                <lb/>
              quo〈que〉 iunctos & prioribus æquales, habeant verò à tergo orbiculum ma­
                <lb/>
              iorem; immotâ baſi primâ, movetur baſi, ſecunda.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Cùm duo orbiculi æquales ſimuliuncti percutiunt alios du­
                <lb/>
              os ſimul
                <expan abbr="quoq;">quoque</expan>
              iunctos & æquales: licet inæqualem afferant
                <lb/>
              plagam; quia tamen
                <expan abbr="uterq;">uterque</expan>
              orbiculus ex illâ inæquali plagâ ſe
                <lb/>
              abducit;
                <expan abbr="quiſq;">quiſque</expan>
              ſuo orbiculo expulſo à motu conquieſcit. </s>
              <lb/>
              <s>At cùm alius orbiculus maior accedit: in quem impetus ſe ex­
                <lb/>
              onerat illorum orbiculorum: quia inæqualem
                <expan abbr="atq;">atque</expan>
              minorem
                <lb/>
              á baſi recipit plagam; per theor: 2. huius, reflexo altero orbi­
                <lb/>
              culo movebitur baſis. </s>
              <s>Cùm igitur hæc baſis ſecunda à pla­
                <lb/>
              gâ ſe abducat; quieſcet à percuſſione baſis prima. </s>
              <s>Conſtat
                <lb/>
              verò illo orbiculo reflexo, reflecti
                <expan abbr="quoq;">quoque</expan>
              orbiculum priorem
                <lb/>
              huic contiguum. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA VIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Si baſim cylindri orbiculati percutiat alius orbiculus æqualis; habe-
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>