Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of Notes

< >
[Note]
Page: 35
[Note]
Page: 35
[Note]
Page: 36
[Note]
Page: 36
[Note]
Page: 38
[Note]
Page: 38
[Note]
Page: 38
[Note]
Page: 38
[Note]
Page: 39
[Note]
Page: 39
[Note]
Page: 39
[Note]
Page: 39
[Note]
Page: 39
[Note]
Page: 39
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 41
[Note]
Page: 42
[Note]
Page: 42
[Note]
Page: 42
[Note]
Page: 43
[Note]
Page: 43
[Note]
Page: 43
[Note]
Page: 44
< >
page |< < (15) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div57" type="section" level="1" n="26">
          <p>
            <s xml:id="echoid-s853" xml:space="preserve">
              <pb o="15" file="0041" n="41" rhead="DE IIS QVAE VEH. IN AQVA."/>
            _quare per o ductaipſi al æquidiſtans cadet extra ſectionem ex 17._
              <lb/>
            </s>
            <s xml:id="echoid-s854" xml:space="preserve">_primi conicorum: </s>
            <s xml:id="echoid-s855" xml:space="preserve">& </s>
            <s xml:id="echoid-s856" xml:space="preserve">cum b p producta coibit inſra p. </s>
            <s xml:id="echoid-s857" xml:space="preserve">ergò & </s>
            <s xml:id="echoid-s858" xml:space="preserve">per-_
              <lb/>
            _pendicularis ducta per b cum eadem infra b coibit, at que inter b &_</s>
            <s xml:id="echoid-s859" xml:space="preserve">
              <lb/>
            _p neceſſario cadet. </s>
            <s xml:id="echoid-s860" xml:space="preserve">multo autem magis illud idem ſequetur, ſi pona-_
              <lb/>
            _mus pf ipſa om maiorem eſſe._</s>
            <s xml:id="echoid-s861" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s862" xml:space="preserve">Et quoniam p f quidem æquidiſtans eſt diametro, htau
              <lb/>
              <note position="right" xlink:label="note-0041-01" xlink:href="note-0041-01a" xml:space="preserve">H</note>
            tem ad diametrum perpendicularis; </s>
            <s xml:id="echoid-s863" xml:space="preserve">& </s>
            <s xml:id="echoid-s864" xml:space="preserve">rh æqualis ei, quæ
              <lb/>
            uſque ad axem, ducta linea ab r ad e, & </s>
            <s xml:id="echoid-s865" xml:space="preserve">producta angulos
              <lb/>
            rectos facere cum linea ſectionem in p contingente.</s>
            <s xml:id="echoid-s866" xml:space="preserve">]
              <lb/>
            _Hoc ſuperius à nobis demonſtratum eſt in ſecundam buin
              <unsure/>
            s._</s>
            <s xml:id="echoid-s867" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div65" type="section" level="1" n="27">
          <head xml:id="echoid-head32" xml:space="preserve">PROPOSITIO V.</head>
          <p>
            <s xml:id="echoid-s868" xml:space="preserve">
              <emph style="sc">Recta</emph>
            portio conoidis rectanguli, quando
              <lb/>
            leuior humido axem habuerit maiorem, quàm
              <lb/>
            ſeſquialterum eius, quæ uſque ad axem; </s>
            <s xml:id="echoid-s869" xml:space="preserve">ſi ad hu-
              <lb/>
            midum in grauitate non maiorem proportionẽ
              <lb/>
            habeat, quàm exceſſus, quo quadratum quod ſit
              <lb/>
            ab axe maius eſt quadrato, quod ab exceſſu, quo
              <lb/>
            axis maior eſt, quàm ſeſquialter eius, quæ uſque
              <lb/>
            ad axem, ad quadratum, quod ab axe: </s>
            <s xml:id="echoid-s870" xml:space="preserve">demiſſa in
              <lb/>
            humidum, ita ut baſis ipſius tota ſit in humido;
              <lb/>
            </s>
            <s xml:id="echoid-s871" xml:space="preserve">& </s>
            <s xml:id="echoid-s872" xml:space="preserve">poſita inclinata non manebit inclinata, ſed re-
              <lb/>
            ſtituetur ita, ut axis ipſius ſecundum perpendi-
              <lb/>
            cularem fiat.</s>
            <s xml:id="echoid-s873" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s874" xml:space="preserve">DEMITTATVR enim in humidum portio aliqna,
              <lb/>
            qualis dicta eſt: </s>
            <s xml:id="echoid-s875" xml:space="preserve">& </s>
            <s xml:id="echoid-s876" xml:space="preserve">ſit baſis ipſius tota in humido. </s>
            <s xml:id="echoid-s877" xml:space="preserve">Secta au-
              <lb/>
            tem ipſa plano per axem, recto ad ſuperſiciem humidi, erit
              <lb/>
            ſectio rectanguli coniſectio, quæ ſit apol: </s>
            <s xml:id="echoid-s878" xml:space="preserve">axis </s>
          </p>
        </div>
      </text>
    </echo>
Impressum