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 |< < of 213 > >|
FED. COMMANDINI
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="73">
          <p>
            <s xml:space="preserve">
              <pb file="0138" n="138" rhead="FED. COMMANDINI"/>
            ad priſma a b c e f g. </s>
            <s xml:space="preserve">quare linea s y ad y t eandem propor-
              <lb/>
            tionem habet, quam priſma a d c e h g ad priſma a b c e f g.
              <lb/>
            </s>
            <s xml:space="preserve">Sed priſmatis a b c e f g centrum grauitatis eſts: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">priſma-
              <lb/>
            tis a d c e h g centrum t. </s>
            <s xml:space="preserve">magnitudinis igitur ex his compo
              <lb/>
            ſitæ, hoc eſt totius priſmatis a g centrum grauitatis eſt pun
              <lb/>
            ctum y; </s>
            <s xml:space="preserve">medium ſcilicet axis u x, qui oppoſitorum plano-
              <lb/>
            rum centra coniungit.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="3">
            <figure xlink:label="fig-0137-01" xlink:href="fig-0137-01a">
              <image file="0137-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0137-01"/>
            </figure>
            <note position="right" xlink:label="note-0137-01" xlink:href="note-0137-01a" xml:space="preserve">5. huius.</note>
          </div>
          <p>
            <s xml:space="preserve">Rurſus ſit priſma baſim habens pentagonum a b c d e:
              <lb/>
            </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quod ei opponitur ſit f g h _K_ l: </s>
            <s xml:space="preserve">ſec enturq; </s>
            <s xml:space="preserve">a f, b g, c h,
              <lb/>
            d _k_, el bifariam: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per diuiſiones ducto plano, ſectio ſit pẽ
              <lb/>
            tagonũ m n o p q. </s>
            <s xml:space="preserve">deinde iuncta e b per lineas le, e b aliud
              <lb/>
            planum ducatur, diuidẽs priſ
              <lb/>
              <anchor type="figure" xlink:label="fig-0138-01a" xlink:href="fig-0138-01"/>
            ma a k in duo priſmata, in priſ
              <lb/>
            ma ſcilicet al, cuius plana op-
              <lb/>
            poſita ſint triangula a b e f g l:
              <lb/>
            </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">in prima b _k_ cuius plana op
              <lb/>
            poſita ſint quadrilatera b c d e
              <lb/>
            g h _k_ l. </s>
            <s xml:space="preserve">Sint autem triangulo-
              <lb/>
            rum a b e, f g l centra grauita
              <lb/>
            tis puncta r ſ: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">b c d e, g h _k_ l
              <lb/>
            quadrilaterorum centra tu: </s>
            <s xml:space="preserve">
              <lb/>
            iunganturq; </s>
            <s xml:space="preserve">r s, t u o ccurren-
              <lb/>
            tes plano m n o p q in punctis
              <lb/>
            x y. </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">itidem iungãtur r t, ſu,
              <lb/>
            x y. </s>
            <s xml:space="preserve">erit in linea r t cẽtrum gra
              <lb/>
            uitatis pentagoni a b c d e; </s>
            <s xml:space="preserve">
              <lb/>
            quod ſit z: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">in linea ſu cen-
              <lb/>
            trum pentagoni f g h k l: </s>
            <s xml:space="preserve">ſit au
              <lb/>
            tem χ: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ducatur z χ, quæ di-
              <lb/>
            cto plano in χ occurrat. </s>
            <s xml:space="preserve">Itaq; </s>
            <s xml:space="preserve">
              <lb/>
            punctum x eſt centrum graui
              <lb/>
            tatis trianguli m n q, ac priſ-
              <lb/>
            matis al: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">y grauitatis centrum quadrilateri n o p q, ac
              <lb/>
            priſmatis b k. </s>
            <s xml:space="preserve">quare y centrum erit pentagoni m n o p q. </s>
            <s xml:space="preserve">&</s>
            <s xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>