Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div403" type="section" level="1" n="166">
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            <s xml:id="echoid-s5939" xml:space="preserve">
              <pb o="153" file="183" n="183" rhead="LIBER TERTIVS."/>
            mus, percepta fuerint, eadem ſemper ratio metien darum rectarum tenenda erit,
              <lb/>
            ſi vtra que extremitas rectæ propoſitæ cerni poteſt, vt diximus.</s>
            <s xml:id="echoid-s5940" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5941" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5942" xml:space="preserve">
              <emph style="sc">Sed</emph>
            neque hoc omittendum puto, quando inuentæ ſunt duæ diſtantiæ
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            à menſoris loco vſque ad duas extremitates rectæ metiendæ, vna cum angulo
              <lb/>
            ab ipſis comprehenſo, certius (quam quam laborioſius) interuallum inter duo
              <lb/>
            illa extrema, hoc eſt, rectam propoſitam inueniri poſſe ex duabus illis diſtantijs,
              <lb/>
            & </s>
            <s xml:id="echoid-s5943" xml:space="preserve">angulo comprehenſo, per 12. </s>
            <s xml:id="echoid-s5944" xml:space="preserve">triang. </s>
            <s xml:id="echoid-s5945" xml:space="preserve">rectil. </s>
            <s xml:id="echoid-s5946" xml:space="preserve">quam per duas dictas portiones
              <lb/>
            illis diſtantijs proportionales: </s>
            <s xml:id="echoid-s5947" xml:space="preserve">propterea quod interuallum inter extrema illa-
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            rum portionum vix accurate per circinum reperiri poſsit. </s>
            <s xml:id="echoid-s5948" xml:space="preserve">Id quod etiam in pro-
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            blem. </s>
            <s xml:id="echoid-s5949" xml:space="preserve">16. </s>
            <s xml:id="echoid-s5950" xml:space="preserve">ad finem Num. </s>
            <s xml:id="echoid-s5951" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5952" xml:space="preserve">monuimus.</s>
            <s xml:id="echoid-s5953" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5954" xml:space="preserve">SPATIVM terræ inæquale pro ducendis aquis librare: </s>
            <s xml:id="echoid-s5955" xml:space="preserve">aut etiam ſi lu-
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            bet, Horizonti æquidiſtans efficere.</s>
            <s xml:id="echoid-s5956" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div405" type="section" level="1" n="167">
          <head xml:id="echoid-head170" xml:space="preserve">PROBLEMA XLV.</head>
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            <s xml:id="echoid-s5957" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5958" xml:space="preserve">
              <emph style="sc">Qvando</emph>
            oblatum ſpatium non eſt valde magnum, excogitauit Ioan-
              <lb/>
              <note position="right" xlink:label="note-183-01" xlink:href="note-183-01a" xml:space="preserve">Inſtrumenti
                <lb/>
              conſtructio
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              pro librationi-
                <lb/>
              b{us}</note>
            nes Ferrerius Hiſpanus nobilis Architectus, & </s>
            <s xml:id="echoid-s5959" xml:space="preserve">Mathematicus, inſtrumentum
              <lb/>
              <figure xlink:label="fig-183-01" xlink:href="fig-183-01a" number="114">
                <image file="183-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/183-01"/>
              </figure>
            percommodum pro librationibus, hoc modo. </s>
            <s xml:id="echoid-s5960" xml:space="preserve">Compingantur duæ regulæ AB,
              <lb/>
            AC, ex ligno aliquo ſolido, ac duro, æqualium crurum, quæ longitudinem ha-
              <lb/>
            beant ſatis longam, ita vt diſtantiæ inter extrema B, C, contineat 10. </s>
            <s xml:id="echoid-s5961" xml:space="preserve">palmos prę-
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            ciſe, aut etiam plures. </s>
            <s xml:id="echoid-s5962" xml:space="preserve">Deinde ducta recta AG, ad BC, perpendiculari, deſcriba-
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            tur ex A, ſemicirculus quantuſcunque I D K, cuius ſemidiameter A D, in totæ-
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            quales partes ſecetur, quot palmi in diſtantia B C, comprehenduntur. </s>
            <s xml:id="echoid-s5963" xml:space="preserve">Deſcri-
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            pto quoq; </s>
            <s xml:id="echoid-s5964" xml:space="preserve">circa A D, ſemicirculo occulto A E D, transferantur ex D, in eius pe-
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            rip heriam omnia interualla inter D, & </s>
            <s xml:id="echoid-s5965" xml:space="preserve">puncta rectæ A D: </s>
            <s xml:id="echoid-s5966" xml:space="preserve">ac tandem ex A, per
              <lb/>
            ſingula puncta ſemicirculi AED, rectæ occultæ emittantur, notenturq; </s>
            <s xml:id="echoid-s5967" xml:space="preserve">interſe-
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            ctiones earum cum peripheria D I, at que in alteram peripheriam D K, </s>
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