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

Page concordance

< >
Scan Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
< >
page |< < of 145 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="063/01/039.jpg"/>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA VII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Impulſus centri grauitatis totus mouet, cùm huius interuallum ab
                <lb/>
              hypomochlio eſt œquale ſemidiæmetro figuræ motús.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Impulſus enim centri grauitatis prohibetur à motu; cùm vel
                <lb/>
              ipſum centrum, vel pars aliqua à centro mota in hypomochlio
                <lb/>
              quieſcit. </s>
              <s>At verò cùm interuallum centri grauitatis eſt æqua­
                <lb/>
              le ſemidiametro figuræ motûs;
                <expan abbr="neq;">neque</expan>
              ipſum centrum,
                <expan abbr="neq;">neque</expan>
              ali­
                <lb/>
              qua pars à centro mota in hypomochlio quieſcit: totus igitur
                <lb/>
              impulſus movet. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA VIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Impulſus movens ad totum impulſum rationem habet, quam ſegmen­
                <lb/>
              tum ſemidiametri ab hypomochlic & centro grauitatis interceptum, ad
                <lb/>
              ſemidiametrum figuræ motûs.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Cùm hypomochlium ſit trutina;
                <expan abbr="totusq;">totusque</expan>
              impulſus quieſcat,
                <lb/>
              cùm centrum hypomochlio occurrit, per theor. 6 totus verò
                <lb/>
              impulſus moveat, cùm huius à centro intervallum eſt æquale
                <lb/>
              ſemidiametro figuræ motùs per theore: 7. erit impulſus mo­
                <lb/>
              uens æqualis ſegmento ſemidiemetri inter centrum grauitatis
                <lb/>
              &
                <expan abbr="hypomochliũ">hypomochlium</expan>
              intercepto In figurâ
                <expan abbr="ſequẽti">ſequenti</expan>
              BEC ſit A
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              grauitatis, DE hypomochlium, & AC ſimidiameter æqualis
                <lb/>
              toti impulſui:
                <expan abbr="eritq;">eritque</expan>
              DA interuallum centri grauitatis A &
                <lb/>
              hypomochlij DE, grauitas mouens centri A. </s>
              <s>Vt enim AD ad
                <lb/>
              vectem AC; ita per Axioma 2. ratio impulſús ex eodem pon­
                <lb/>
              dere A appenſo. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum