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

Table of figures

< >
[Figure 11]
Page: 36
[Figure 12]
Page: 40
[Figure 13]
Page: 41
[Figure 14]
Page: 42
[Figure 15]
Page: 43
[Figure 16]
Page: 44
[Figure 17]
Page: 45
[Figure 18]
Page: 46
[Figure 19]
Page: 47
[Figure 20]
Page: 49
[Figure 21]
Page: 51
[Figure 22]
Page: 52
[Figure 23]
Page: 54
[Figure 24]
Page: 56
[Figure 25]
Page: 57
[Figure 26]
Page: 63
[Figure 27]
Page: 66
[Figure 28]
Page: 68
[Figure 29]
Page: 73
[Figure 30]
Page: 76
[Figure 31]
Page: 79
[Figure 32]
Page: 83
[Figure 33]
Page: 92
[Figure 34]
Page: 119
[Figure 35]
Page: 122
[Figure 36]
Page: 129
[Figure 37]
Page: 132
[Figure 38]
Page: 144
[Figure 39]
Page: 144
< >
page |< < of 145 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="063/01/040.jpg"/>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA IX.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Impulſus quieſcens eſt æqualis reliquo ſegmento, quod abſcindit hy­
                <lb/>
              pomochlium à ſemidiametro figuræ motûs.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.063.01.040.1.jpg" xlink:href="063/01/040/1.jpg" number="12"/>
            <p type="main">
              <s>Quia impulfus mouens & quieſcens ſimul ſumpti, toti impul­
                <lb/>
              ſui, hic autem ſemidiametro figuræ motus AC ponitur æqua­
                <lb/>
              lis per Axioma 2: Eſt veró impulſus movens æqualis uni ſe­
                <lb/>
              gmento AD per theorema 8. erit
                <expan abbr="quoq;">quoque</expan>
              impulſus quieſcens
                <lb/>
              æqualis alteri ſegmento DC. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              LEMMA.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Centrum grauitatis cuius〈que〉 figuræ rectilineæ invenire.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Sit primùm in triangulo iſopleuro ABC inquirendum cen­
                <lb/>
              trum grauitatis. in quo ex duobus angulis B & C demittantur
                <lb/>
              lineæ ad baſim rectæ BD CE. </s>
              <s>Dico in communi illarum ſecti­
                <lb/>
              one F eſſe centrum grauitatis. </s>
              <s>Quia enim recta BD ſecat ba­
                <lb/>
              ſim mediam; eritineâ centrum grauitatis, per prop. 13 lib. 1
                <lb/>
              Archimedis de æquipond. </s>
              <s>Eſt verò idem in recta CE: igitur in
                <lb/>
              communi ſectione F. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum