Clavius, Christoph, Geometria practica

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            <s xml:id="echoid-s4149" xml:space="preserve">
              <pb o="107" file="137" n="137" rhead="LIBER TERTIVS."/>
            do diſtantia A F, minor eſt altitudine F G: </s>
            <s xml:id="echoid-s4150" xml:space="preserve">eritque triangulum A B H, triangu-
              <lb/>
            lo AFG, æquiangulum, vt problemate 3. </s>
            <s xml:id="echoid-s4151" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s4152" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4153" xml:space="preserve">demonſtrauimus. </s>
            <s xml:id="echoid-s4154" xml:space="preserve">Igitur erit,
              <lb/>
            vt BH, ad AB, ita AF, ad F G: </s>
            <s xml:id="echoid-s4155" xml:space="preserve">ac proinde, ſi fiat,</s>
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          Vt vmbra \\ recta B H, # ad AB, lat{us} qua- \\ drati 1000. # Ita diſtantia AF, veldata, vel \\ inuenta per probl. 3. aut 4. # ad F G,
            <lb/>
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          <p>
            <s xml:id="echoid-s4156" xml:space="preserve">nota euadet FG, cuiſi addetur menſura vel ſtatura menſoris F L, efficietur nota
              <lb/>
            tota altitudo G L, propoſita.</s>
            <s xml:id="echoid-s4157" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4158" xml:space="preserve">ALTITVDINEM eandem, etiamſi eius diſtantia ab oculo menſo-
              <lb/>
            ris neque data ſit, neq; </s>
            <s xml:id="echoid-s4159" xml:space="preserve">inuenta, per duas ſtationes in plano factas pa-
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            tefacere auxilio quadrati.</s>
            <s xml:id="echoid-s4160" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div268" type="section" level="1" n="116">
          <head xml:id="echoid-head119" xml:space="preserve">PROBLEMA VI.</head>
          <p>
            <s xml:id="echoid-s4161" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4162" xml:space="preserve">
              <emph style="sc">Proposita</emph>
            ſit altitudo metienda FG, ſecluſa menſoris ſtatura FL. </s>
            <s xml:id="echoid-s4163" xml:space="preserve">Fi-
              <lb/>
              <figure xlink:label="fig-137-01" xlink:href="fig-137-01a" number="65">
                <image file="137-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/137-01"/>
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            ant duæ ſtationes, vt in problemate 3. </s>
            <s xml:id="echoid-s4164" xml:space="preserve">cuius figura 1. </s>
            <s xml:id="echoid-s4165" xml:space="preserve">hicrepetatur, ſeceturque
              <lb/>
            primum vmbra verſa in vtraque ſtatione in punctis E, H. </s>
            <s xml:id="echoid-s4166" xml:space="preserve">Et quia propter ſimili-
              <lb/>
            tudinem triangulorum ADE, AFG, eſt vt DE, ad A D, ita F G, ad A F: </s>
            <s xml:id="echoid-s4167" xml:space="preserve">ſi fiat,</s>
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          Vt D E, vmbra ver- \\ ſa abſciſſa # ad AD, lat{us} qua- \\ drati 1000. # Ita FG, quaten{us} 1. # ad A F.
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            <s xml:id="echoid-s4168" xml:space="preserve">hoc eſt, (cum 1. </s>
            <s xml:id="echoid-s4169" xml:space="preserve">multiplicans latus quadrati 1000. </s>
            <s xml:id="echoid-s4170" xml:space="preserve">producat idem latus 1000.)
              <lb/>
            </s>
            <s xml:id="echoid-s4171" xml:space="preserve">ſi quadrati latus 1000. </s>
            <s xml:id="echoid-s4172" xml:space="preserve">diuidatur per vmbram verſam D E, prodibit Quotiens
              <lb/>
            AF, indicans, quoties FG, in AF, contineatur. </s>
            <s xml:id="echoid-s4173" xml:space="preserve">Eodem pacto ſi fiat,</s>
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          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt vmbra verſa d H, # ad a d, lat{us} quadra, \\ ti 1000. # Ita F G, quaten{us} \\ 1. # ad a F,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4174" xml:space="preserve">hoc eſt, ſi quadrati latus 1000. </s>
            <s xml:id="echoid-s4175" xml:space="preserve">diuidatur per vmbram verſam d H, gignetur
              <lb/>
            Quotiens a F, monſtrans, quoties FG, in a F, contineatur. </s>
            <s xml:id="echoid-s4176" xml:space="preserve">Siigitur poſterior hic
              <lb/>
            Quotiens a F, ex priori Quotiente a F, detrahatur, relinquetur differentia A a,
              <lb/>
            cognita in partibus, quarum F G, eſt 1. </s>
            <s xml:id="echoid-s4177" xml:space="preserve">Siergo fiat,</s>
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