Clavius, Christoph, Geometria practica

Table of figures

< >
[Figure 131]
[Figure 132]
[Figure 133]
[Figure 134]
[Figure 135]
[Figure 136]
[Figure 137]
[Figure 138]
[Figure 139]
[Figure 140]
[Figure 141]
[Figure 142]
[Figure 143]
[Figure 144]
[Figure 145]
[Figure 146]
[Figure 147]
[Figure 148]
[Figure 149]
[Figure 150]
[Figure 151]
[Figure 152]
[Figure 153]
[Figure 154]
[Figure 155]
[Figure 156]
[Figure 157]
[Figure 158]
[Figure 159]
[Figure 160]
< >
page |< < (141) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div365" type="section" level="1" n="152">
          <p>
            <s xml:id="echoid-s5485" xml:space="preserve">
              <pb o="141" file="171" n="171" rhead="LIBER TERTIVS."/>
              <note style="it" position="right" xlink:label="note-171-01" xlink:href="note-171-01a" xml:space="preserve">
                <lb/>
              Vt vmbrarecta H B, in \\ quadrato abſciſſa # ad lat{us} A B, # Ita longitudo vmbræ pro- \\ iectæ A F, # ad F G,
                <lb/>
              #### Vel
                <lb/>
              Vt lat{us} A D, # ad vmbram verſam D E, ab- \\ ſciſſam in quadrato # Ita longitudo vmbræ \\ proiectæ A F, # ad F I,
                <lb/>
              </note>
            altitudo propoſita F G, vel F I, proueniet nota &</s>
            <s xml:id="echoid-s5486" xml:space="preserve">c.</s>
            <s xml:id="echoid-s5487" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5488" xml:space="preserve">LONGITVDINEM vmbræ ab altitudine, Sole lucente, quando
              <lb/>
            altitudo eſt cognita, ope quadrati apertam, & </s>
            <s xml:id="echoid-s5489" xml:space="preserve">manifeſtam facere.</s>
            <s xml:id="echoid-s5490" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div367" type="section" level="1" n="153">
          <head xml:id="echoid-head156" xml:space="preserve">PROBLEMA XXXV.</head>
          <figure number="103">
            <image file="171-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/171-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s5491" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5492" xml:space="preserve">Hoc etiam problema à ſecundo diuerſum non eſt: </s>
            <s xml:id="echoid-s5493" xml:space="preserve">ſolum hic pro diſtan-
              <lb/>
            tia accipimus longitudinem vmbræ, quam altitudo nota, Sole lucente, proii-
              <lb/>
            cit. </s>
            <s xml:id="echoid-s5494" xml:space="preserve">Sit ergo altitudo A F, eiuſque vmbra proiecta F G. </s>
            <s xml:id="echoid-s5495" xml:space="preserve">Dirigatur quadratum
              <lb/>
            verſus Solem, vbicunque menſor extra vmbram conſtiterit, & </s>
            <s xml:id="echoid-s5496" xml:space="preserve">tranſeunte ra-
              <lb/>
            dio Solari per pinna cidiorum foramina, obſeruetur vmbra ſiue recta, ſiue ver-
              <lb/>
            ſa, quam filum perpendiculi, vel dioptra abſcindit. </s>
            <s xml:id="echoid-s5497" xml:space="preserve">Ita namque ſe habebit latus
              <lb/>
            quadrati A B, ad vmbram eius rectam B E, abſciſſam, vt altitudo A F, ad vmbram
              <lb/>
            proiectam F G. </s>
            <s xml:id="echoid-s5498" xml:space="preserve">Item ſic erit vmbra verſa D E, in quadrato ad latus A D, vt al-
              <lb/>
            titudo A F, ad vmbram proiectam F G. </s>
            <s xml:id="echoid-s5499" xml:space="preserve">Dioptra denique, vel filo perpendicu-
              <lb/>
            li per punctum C, tranſeunte, altitudo A F, longitu dini vmbræ proiectæ F G,
              <lb/>
            æqualis eſt. </s>
            <s xml:id="echoid-s5500" xml:space="preserve">quæ omnia in problemate 2. </s>
            <s xml:id="echoid-s5501" xml:space="preserve">demonſtrauimus. </s>
            <s xml:id="echoid-s5502" xml:space="preserve">Quamobrem ſi fiat,
              <lb/>
              <note style="it" position="right" xlink:label="note-171-02" xlink:href="note-171-02a" xml:space="preserve">
                <lb/>
              Vt lat{us} A B, # ad vmbram rectam abſciſ- \\ ſam B E, # Ita altitudo nota \\ A F, # ad F G:
                <lb/>
              #### Vel
                <lb/>
              Vt vmbra verſa D E, abſciſſa \\ in quadrato # ad lat{us} A D, # Ita altitudo nota \\ A F, # ad F G,
                <lb/>
              </note>
            exibit nota longitudo vmbræ proiectæ F G, &</s>
            <s xml:id="echoid-s5503" xml:space="preserve">c.</s>
            <s xml:id="echoid-s5504" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5505" xml:space="preserve">DISTANTIAM in Horizonte inter menſorem, & </s>
            <s xml:id="echoid-s5506" xml:space="preserve">ſignum aliquod
              <lb/>
            viſum, beneficio ſimpliciſſimi cuiuſdam inſtrumenti comperire.</s>
            <s xml:id="echoid-s5507" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>