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 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div216" type="section" level="1" n="73">
          <p>
            <s xml:id="echoid-s3603" xml:space="preserve">
              <pb file="0142" n="142" rhead="FED. COMMANDINI"/>
              <figure xlink:label="fig-0142-01" xlink:href="fig-0142-01a" number="96">
                <image file="0142-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0142-01"/>
              </figure>
            linea x cum ſit minor circulo, uel ellipſi, eſt etiam minor fi-
              <lb/>
            gura rectilinea y. </s>
            <s xml:id="echoid-s3604" xml:space="preserve">ergo pyramis x pyramide y minor erit.
              <lb/>
            </s>
            <s xml:id="echoid-s3605" xml:space="preserve">Sed & </s>
            <s xml:id="echoid-s3606" xml:space="preserve">maior; </s>
            <s xml:id="echoid-s3607" xml:space="preserve">quod fieri nõ poteſt. </s>
            <s xml:id="echoid-s3608" xml:space="preserve">At ſi conus, uel coni por
              <lb/>
            tio x ponatur minor pyramide y: </s>
            <s xml:id="echoid-s3609" xml:space="preserve">ſit alter conus æque al-
              <lb/>
            tus, uel altera coni portio χ ipſi pyramidi y æqualis. </s>
            <s xml:id="echoid-s3610" xml:space="preserve">erit
              <lb/>
            eius baſis circulus, uel ellipſis maior circulo, uel ellipſi x,
              <lb/>
            quorum exceſſus ſit ſpacium ω. </s>
            <s xml:id="echoid-s3611" xml:space="preserve">Siigitur in circulo, uel elli-
              <lb/>
            pſi χ figura rectilinea deſcribatur, ita ut portiones relictæ
              <lb/>
            ſint ω ſpacio minores, eiuſinodi figura adhuc maior erit cir
              <lb/>
            culo, uel ellipſi x, hoc eſt figura rectilinea _y_. </s>
            <s xml:id="echoid-s3612" xml:space="preserve">& </s>
            <s xml:id="echoid-s3613" xml:space="preserve">p_y_ramis in
              <lb/>
            ea conſtituta minor cono, uel coni portione χ, hoc eſt mi-
              <lb/>
            nor p_y_ramide_y_. </s>
            <s xml:id="echoid-s3614" xml:space="preserve">eſt ergo ut χ figura rectilinea ad figuram
              <lb/>
            rectilineam _y_, ita pyramis χ ad pyramidem _y_. </s>
            <s xml:id="echoid-s3615" xml:space="preserve">quare cum
              <lb/>
            figura rectilinea χ ſit maior figura_y_: </s>
            <s xml:id="echoid-s3616" xml:space="preserve">erit & </s>
            <s xml:id="echoid-s3617" xml:space="preserve">p_y_ramis χ p_y_-
              <lb/>
            ramide_y_ maior. </s>
            <s xml:id="echoid-s3618" xml:space="preserve">ſed erat minor; </s>
            <s xml:id="echoid-s3619" xml:space="preserve">quod rurſus fieri non po-
              <lb/>
            teſt. </s>
            <s xml:id="echoid-s3620" xml:space="preserve">non eſt igitur conus, uel coni portio x neque maior,
              <lb/>
            neque minor p_y_ramide_y_. </s>
            <s xml:id="echoid-s3621" xml:space="preserve">ergo ipſi neceſſario eſt æqualis. </s>
            <s xml:id="echoid-s3622" xml:space="preserve">
              <lb/>
            Itaque quoniam ut conus ad conum, uel coni portio ad </s>
          </p>
        </div>
      </text>
    </echo>
Impressum