Clavius, Christoph, Geometria practica

Table of figures

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          <pb o="117" file="147" n="147" rhead="LIBER TERTIVS."/>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt H I, differentia vm- \\ brarum rectarum # ad A a, differentiam \\ ſtationum; # Ita d H, vmbra \\ recta maior # ad AF,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4570" xml:space="preserve">nota fiet tota recta AF, ex quaſi dematur portio haſtæ A d, quod duo quadra-
              <lb/>
            ta occupant, cognita fiet reliqua altitudo d F.</s>
            <s xml:id="echoid-s4571" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4572" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4573" xml:space="preserve">
              <emph style="sc">Si</emph>
            vero in vtraque ſtatione vmbra verſa à radijs interſecetur, vt in 2. </s>
            <s xml:id="echoid-s4574" xml:space="preserve">figu-
              <lb/>
            ra problematis 3. </s>
            <s xml:id="echoid-s4575" xml:space="preserve">hic repetita ordine inuerſo, & </s>
            <s xml:id="echoid-s4576" xml:space="preserve">fiat,</s>
          </p>
          <figure number="74">
            <image file="147-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/147-01"/>
          </figure>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          vt I E, differentia vm- \\ brarum verſarum, # ad Aa, differentiam \\ ſtationum: # Ita B E, vmbra ver- \\ ſa maior # ad AF,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4577" xml:space="preserve">pro dibit recta A F, ex qua ſi detrahatur portio haſtæ
              <lb/>
              <figure xlink:label="fig-147-02" xlink:href="fig-147-02a" number="75">
                <image file="147-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/147-02"/>
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            A d, à principio primi quadrati ad finem ſecundi, re-
              <lb/>
              <note position="right" xlink:label="note-147-03" xlink:href="note-147-03a" xml:space="preserve">Ad ſiniſtrum
                <lb/>
              angulum in-
                <lb/>
              feriorem, in-
                <lb/>
              ferioris qua-
                <lb/>
              drati, poned</note>
            liqua d F, altitudo fiet quo que nota: </s>
            <s xml:id="echoid-s4578" xml:space="preserve">veluti in pro-
              <lb/>
            blemate 3. </s>
            <s xml:id="echoid-s4579" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s4580" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4581" xml:space="preserve">oſtendimus.</s>
            <s xml:id="echoid-s4582" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4583" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4584" xml:space="preserve">At ſiin vna ſtatione ſecetur latus vmbræ rectæ,
              <lb/>
            & </s>
            <s xml:id="echoid-s4585" xml:space="preserve">in altera latus vmbræ verſæ, vtin 3. </s>
            <s xml:id="echoid-s4586" xml:space="preserve">figura proble-
              <lb/>
            matis 3. </s>
            <s xml:id="echoid-s4587" xml:space="preserve">quæ inuerſa huc translata eſt, reducenda erit
              <lb/>
            vel recta vmbra ad verſam, vel verſa ad rectam. </s>
            <s xml:id="echoid-s4588" xml:space="preserve">Nam
              <lb/>
            vt in problemate 3. </s>
            <s xml:id="echoid-s4589" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s4590" xml:space="preserve">5. </s>
            <s xml:id="echoid-s4591" xml:space="preserve">oſtendimus, ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt I N, differentia vm- \\ brarum ſiue verſarum, \\ ſiue rectarum, # ad Aa, differen- \\ tiam ſtationum: # Ita B N, maior vmbra \\ verſa, veld N, maior \\ vmbrarecta, # ad AF,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4592" xml:space="preserve">effi cietur nota recta A F, ex qua ſi dematur portio haſtæ A d, nota relinquetur
              <lb/>
            altitudo d F.</s>
            <s xml:id="echoid-s4593" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4594" xml:space="preserve">4. </s>
            <s xml:id="echoid-s4595" xml:space="preserve">
              <emph style="sc">Qvod</emph>
            ſi turris eſſet A F, & </s>
            <s xml:id="echoid-s4596" xml:space="preserve">ex duabus feneſtris d, D, obſeruatio fieret,
              <lb/>
            deprehenderetur eo dem modo altitudo turris A F, vt patet.</s>
            <s xml:id="echoid-s4597" xml:space="preserve"/>
          </p>
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          <head xml:id="echoid-head129" xml:space="preserve">SCHOLIVM.</head>
          <p>
            <s xml:id="echoid-s4598" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4599" xml:space="preserve">
              <emph style="sc">Qvod</emph>
            præcedentia duo problemata per duas ſtationes ſiue in plano
              <lb/>
            ſummitatis turris, vel montis, ſiue in haſta aliqua erecta factas docuerunt, </s>
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