Clavius, Christoph, Geometria practica

Table of figures

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            <s xml:id="echoid-s4511" xml:space="preserve">
              <pb o="115" file="145" n="145" rhead="LIBER TERTIVS."/>
            differentiæ ſtationum, nota relinquetur altitudo D F, vel d M, quæſita. </s>
            <s xml:id="echoid-s4512" xml:space="preserve">Inueniri
              <lb/>
            autem hac ratione rectam AF, demonſtratum eſt in problemate 4. </s>
            <s xml:id="echoid-s4513" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s4514" xml:space="preserve">1.</s>
            <s xml:id="echoid-s4515" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4516" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4517" xml:space="preserve">
              <emph style="sc">Qvod</emph>
            ſi in vtraque ſtatione latus vmbræ verſæ ſecetur in F, H, vt in 2.
              <lb/>
            </s>
            <s xml:id="echoid-s4518" xml:space="preserve">figura problematis 4. </s>
            <s xml:id="echoid-s4519" xml:space="preserve">hic repetita, inuerſa tamen, habebimus tres vias inueſti-
              <lb/>
            gandi altitudinem A F, ex qua ſi tollatur latus quadrati A D, manifeſta relin-
              <lb/>
            quetur quęſita altitudo DF, vel d M. </s>
            <s xml:id="echoid-s4520" xml:space="preserve">Nam reducta vtraque vmbra verſa ad re-
              <lb/>
            ctam, ſi fiat,</s>
          </p>
          <figure number="71">
            <image file="145-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/145-01"/>
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          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt I N, differentia vmbra- \\ rum rectarum, # ad A a, differentiam \\ ſtationum: # Ita A D, lat{us} qua- \\ drati 1000. # ad AF.
            <lb/>
          # Vel ſine reductione.
            <lb/>
          Vt P, numer{us}, qui fit ex \\ O H, differentia vmbra- \\ rum verſarum in a b, la- \\ t{us} quadrati, # ad numerum, qui fit ex vm- \\ bra verſa b H, maiore in \\ minorem B E, # Ita A a, diffe- \\ rentia ſtatio- \\ num # ad A F,
            <lb/>
          #### Vel
            <lb/>
          Vt A a, differentia Quotientum, qui \\ fiunt, ſi lat{us} quadrati per vtram \\ vmbram verſam diuidatur, # ad A a, differentiam ſta- \\ tionum notam in menſu- \\ ra aliqua # Ita A F, \\ vt 1. # ad A F,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4521" xml:space="preserve">procreabitur ſemper altitudo AF, ab oculo inſpectoris A, numerata: </s>
            <s xml:id="echoid-s4522" xml:space="preserve">quemad-
              <lb/>
            modumin problemate 4. </s>
            <s xml:id="echoid-s4523" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s4524" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4525" xml:space="preserve">demonſtratum eſt.</s>
            <s xml:id="echoid-s4526" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4527" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4528" xml:space="preserve">
              <emph style="sc">Si</emph>
            denique in vna ſtatione ſecetur latus vmbræ verſę in E, & </s>
            <s xml:id="echoid-s4529" xml:space="preserve">in altera la-
              <lb/>
            tus vmbrę rectæ in H, vt in 3. </s>
            <s xml:id="echoid-s4530" xml:space="preserve">figura problematis 4. </s>
            <s xml:id="echoid-s4531" xml:space="preserve">hic inuerſo ordine repetita:
              <lb/>
            </s>
            <s xml:id="echoid-s4532" xml:space="preserve">ſi vtin eodem problemate 4. </s>
            <s xml:id="echoid-s4533" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s4534" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4535" xml:space="preserve">demonſtrauimus, reducatur vmbra ver-
              <lb/>
            ſa ad rectam, & </s>
            <s xml:id="echoid-s4536" xml:space="preserve">fiat,</s>
          </p>
          <figure number="72">
            <image file="145-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/145-02"/>
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