Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
81 35
82
83 36
84
85 37
86
87 38
88
89 39
90
91 40
92
93 41
94
95 42
96
97 43
98
99 44
100
101 43
102
103
104
105
106
107
108
109
110
< >
page |< < of 213 > >|
FED. COMMANDINI
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="82">
          <p>
            <s xml:space="preserve">
              <pb file="0156" n="156" rhead="FED. COMMANDINI"/>
            mus: </s>
            <s xml:space="preserve">erit utique grauitatis centrum pyramidis punctum
              <lb/>
            g: </s>
            <s xml:space="preserve">in quo ſcilicet ipſi axes conueniunt.</s>
            <s xml:space="preserve"/>
          </p>
        </div>
        <div type="section" level="1" n="83">
          <head xml:space="preserve">THEOREMA XIIII. PROPOSITIO XVIII.</head>
          <p>
            <s xml:space="preserve">
              <emph style="sc">Si</emph>
            ſolidum parallelepipedum ſecetur plano
              <lb/>
            baſibus æquidiſtante; </s>
            <s xml:space="preserve">erit ſolidum ad ſolidum,
              <lb/>
            ſicut altitudo ad altitudinem, uel ſicut axisad
              <lb/>
            axem.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">Sit ſolidum parallelepipe
              <lb/>
              <anchor type="figure" xlink:label="fig-0156-01a" xlink:href="fig-0156-01"/>
            dum a b c d e f g h, cuius axis
              <lb/>
            k 1: </s>
            <s xml:space="preserve">ſeceturq; </s>
            <s xml:space="preserve">plano baſibus
              <lb/>
            æquidiſtante, quod faciat
              <lb/>
            fectionem m n o p; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">axi in
              <lb/>
            puncto q occurrat. </s>
            <s xml:space="preserve">Dico
              <lb/>
            ſolidum g m ad ſolidum m c
              <lb/>
            eam proportionem habere,
              <lb/>
            quam altitudo ſolidi g m ha-
              <lb/>
            betad ſolidi m c altitudi-
              <lb/>
            nem; </s>
            <s xml:space="preserve">uel quam axis k q ad
              <lb/>
            axem q l. </s>
            <s xml:space="preserve">Sienim axis K l ad
              <lb/>
            baſis planum ſit perpendicu
              <lb/>
            laris, & </s>
            <s xml:space="preserve">linea g c, quæ ex quin
              <lb/>
            ta huius ipſi k l æquidiſtat,
              <lb/>
            perpendicularis erit ad idẽ
              <lb/>
            planum, & </s>
            <s xml:space="preserve">ſolidi altitudi-
              <lb/>
            nem dimetietur. </s>
            <s xml:space="preserve">Itaqueſo-
              <lb/>
              <anchor type="note" xlink:label="note-0156-01a" xlink:href="note-0156-01"/>
            lidum g m ad ſolidum m c
              <lb/>
            eam proportionem habet,
              <lb/>
            quam parallelogrammũ g n
              <lb/>
            ad parallelogrammum n c,
              <lb/>
            hoc eſt quam linea g o, quæ
              <lb/>
              <anchor type="note" xlink:label="note-0156-02a" xlink:href="note-0156-02"/>
            </s>
          </p>
        </div>
      </text>
    </echo>