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 > >|
ARCHIMEDIS
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="54">
          <p>
            <s xml:space="preserve">
              <pb file="0092" n="92" rhead="ARCHIMEDIS"/>
            quia o g ipſius g x eſt dupla. </s>
            <s xml:space="preserve">Sit p h dupla h t: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">iun-
              <lb/>
            cta h κ ad ω producatur. </s>
            <s xml:space="preserve">erit totius quidem portionis cen
              <lb/>
            trum grauitatis k; </s>
            <s xml:space="preserve">partis eius, quæ intra humidum h; </s>
            <s xml:space="preserve">eius
              <lb/>
            uero, quæ extra humidum in linea κ ω, quod ſit ω. </s>
            <s xml:space="preserve">Itaque
              <lb/>
            demonſtrabitur
              <lb/>
              <anchor type="figure" xlink:label="fig-0092-01a" xlink:href="fig-0092-01"/>
            ſimiliter & </s>
            <s xml:space="preserve">k z ad
              <lb/>
            humidi ſuperſi-
              <lb/>
            ciem perpẽdicu-
              <lb/>
            laris, & </s>
            <s xml:space="preserve">quæ per
              <lb/>
            puncta h ω æqui-
              <lb/>
            diſtantes ipſi κ z
              <lb/>
            ducuntur. </s>
            <s xml:space="preserve">quare
              <lb/>
            nõ manebit por
              <lb/>
            tio, ſed inclinabi
              <lb/>
            tur, donec baſis
              <lb/>
            ipſius in uno pũ
              <lb/>
            cto contingat ſu
              <lb/>
            perficiem humi-
              <lb/>
            di: </s>
            <s xml:space="preserve">atque ita con
              <lb/>
            ſiſtet. </s>
            <s xml:space="preserve">nam in por
              <lb/>
            tionibus æquali-
              <lb/>
            bus a o q l, a p m l, ductæ erunt ab extremitatibus baſium
              <lb/>
            a q, a m, quæ æquales portiones abſcindunt: </s>
            <s xml:space="preserve">etenim a o q
              <lb/>
            ipſi a p m, utin ſuperioribus æqualis demonſtrabitur. </s>
            <s xml:space="preserve">ergo
              <lb/>
              <anchor type="note" xlink:label="note-0092-01a" xlink:href="note-0092-01"/>
            æquales faciunt acutos angulos a q, a m cum diametris ba
              <lb/>
            ſium: </s>
            <s xml:space="preserve">quòd anguli ad χ & </s>
            <s xml:space="preserve">n æquales ſint. </s>
            <s xml:space="preserve">quare ſi ducta
              <lb/>
            h k ad ω producatur, erit totius portionis grauitatis cen-
              <lb/>
            trum k; </s>
            <s xml:space="preserve">partis eius, quæ in humido h; </s>
            <s xml:space="preserve">at eius, quæ extra
              <lb/>
            humidum in linea h κ; </s>
            <s xml:space="preserve">quod ſit ω: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">h k ad humidi ſuper-
              <lb/>
            ficiem perpendicularis. </s>
            <s xml:space="preserve">per eaſdem igitur rectas lineas,
              <lb/>
            quod quidem in humido eſt, ſurſum, & </s>
            <s xml:space="preserve">quod extra humi-
              <lb/>
            dum deorſum feretur. </s>
            <s xml:space="preserve">quare manebit portio, cuius baſis
              <lb/>
            humidi ſuperficiem in uno puncto continget: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">axis cum
              <lb/>
            ipſa angulum faciet æqualem angulo χ. </s>
            <s xml:space="preserve">Similiter demon-
              <lb/>
              <anchor type="note" xlink:label="note-0092-02a" xlink:href="note-0092-02"/>
            </s>
          </p>
        </div>
      </text>
    </echo>