Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
121 5
122
123 6
124
125 7
126
127 8
128
129 9
130
131 10
132
133 11
134
135 12
136
137 13
138
139 14
140
141 15
142
143 15
144 16
145 17
146
147 18
148
149 19
150
< >
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>