Clavius, Christoph, Geometria practica

Table of Notes

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          <pb o="82" file="112" n="112" rhead="GEOMETR. PRACT."/>
          <p>
            <s xml:id="echoid-s3190" xml:space="preserve">5. </s>
            <s xml:id="echoid-s3191" xml:space="preserve">
              <emph style="sc">Vt</emph>
            idem aſſequaris ſine auxilio numerorum, conſule ea, quę problema-
              <lb/>
            te 4. </s>
            <s xml:id="echoid-s3192" xml:space="preserve">num. </s>
            <s xml:id="echoid-s3193" xml:space="preserve">4. </s>
            <s xml:id="echoid-s3194" xml:space="preserve">ſcripſimus.</s>
            <s xml:id="echoid-s3195" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3196" xml:space="preserve">PROFVNDITATEM vallis, eiuſdemque deſcenſum obliquum, ſi
              <lb/>
            non ſit valdè inæqualis, eiuſque terminus, vel aliquod in ea ſignum
              <lb/>
            conſpici poſſit, per Quadrantem ſcrutari.</s>
            <s xml:id="echoid-s3197" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div214" type="section" level="1" n="96">
          <head xml:id="echoid-head99" xml:space="preserve">PROBLEMA XXIV.</head>
          <p>
            <s xml:id="echoid-s3198" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3199" xml:space="preserve">
              <emph style="sc">Hoc</emph>
            etiam nihil aliud eſt, niſi altitudinem quampiam ex eius ſum-
              <lb/>
            mo faſtigio per duas ſtationes dimetiri, vt problemate 4. </s>
            <s xml:id="echoid-s3200" xml:space="preserve">oſtenſum eſt. </s>
            <s xml:id="echoid-s3201" xml:space="preserve">Sit enim
              <lb/>
            vallis inter duosmontes AB, FG, poſita, & </s>
            <s xml:id="echoid-s3202" xml:space="preserve">terminus ipſius C, ex monte AB,
              <lb/>
            poſsit conſpici. </s>
            <s xml:id="echoid-s3203" xml:space="preserve">Ere cta haſta aliqua AE, fiantin D, & </s>
            <s xml:id="echoid-s3204" xml:space="preserve">E, duæ ſtationes, obſer-
              <lb/>
            uenturque anguli D, & </s>
            <s xml:id="echoid-s3205" xml:space="preserve">E, inſpecto termino C, per radios DC, EC. </s>
            <s xml:id="echoid-s3206" xml:space="preserve">Intelliga-
              <lb/>
            tur autem recta EA, vſque ad baſem montis extenſa in B: </s>
            <s xml:id="echoid-s3207" xml:space="preserve">& </s>
            <s xml:id="echoid-s3208" xml:space="preserve">recta excurrens
              <lb/>
            AF, ipſi BG, parallela, vel ad EB, perpendicularis: </s>
            <s xml:id="echoid-s3209" xml:space="preserve">& </s>
            <s xml:id="echoid-s3210" xml:space="preserve">denique CH ipſi AB, pa-
              <lb/>
            rallela, quæ altitudini AB, ęqualis erit, ita vt AB, vel HC, ſit profunditas
              <note symbol="a" position="left" xlink:label="note-112-01" xlink:href="note-112-01a" xml:space="preserve">34. primi.</note>
            lis ab A, vſque ad baſem montis, & </s>
            <s xml:id="echoid-s3211" xml:space="preserve">IC, eius deſcenſus obliquus. </s>
            <s xml:id="echoid-s3212" xml:space="preserve">Liquidò au-
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              <figure xlink:label="fig-112-01" xlink:href="fig-112-01a" number="47">
                <image file="112-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/112-01"/>
              </figure>
            tem eonſtat, profunditatem AB, vel CH, exquiri poſſe, vt problemate 4. </s>
            <s xml:id="echoid-s3213" xml:space="preserve">alti-
              <lb/>
            tudo turris AB, ex duabus ſtationibus in haſta AE, factis, vel in duabus fe-
              <lb/>
            neſtris, vel certè, vtin præcedenti problemate profunditas putei AB, inuen-
              <lb/>
            tafuit.</s>
            <s xml:id="echoid-s3214" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3215" xml:space="preserve">
              <emph style="sc">Descensvs</emph>
            autem obliquus IC, ita notus euadet. </s>
            <s xml:id="echoid-s3216" xml:space="preserve">Quoniam, vt in ante-
              <lb/>
            cedente problemate monſtratum eſt, angulus DCE, differentia eſt angulorum
              <lb/>
            BDC, BEC, obſeruatorum: </s>
            <s xml:id="echoid-s3217" xml:space="preserve"> ſi
              <note symbol="b" position="left" xlink:label="note-112-02" xlink:href="note-112-02a" xml:space="preserve">10. Triang.
                <lb/>
              rectil.</note>
              <note style="it" position="right" xlink:label="note-112-03" xlink:href="note-112-03a" xml:space="preserve">
                <lb/>
              Vt ſin{us} anguli D C E, \\ differentiæ inter angu- \\ losobſeruatos # ad D E, differen- \\ tiam ſtationum \\ oculorum: # ita ſin{us} anguli \\ E, minoris ob- \\ ſeruati # ad DC,
                <lb/>
              </note>
            cognita fiet recta DC, ex qua ſi detrahatur DI, (quam facilè ab oculo vſque </s>
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