Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div367" type="section" level="1" n="153">
          <pb o="142" file="172" n="172" rhead="GEOMETR. PRACT."/>
        </div>
        <div xml:id="echoid-div369" type="section" level="1" n="154">
          <head xml:id="echoid-head157" xml:space="preserve">PROBLEMA XXXVI.</head>
          <p>
            <s xml:id="echoid-s5508" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5509" xml:space="preserve">
              <emph style="sc">Constrvatvr</emph>
            inſtrumentum hoc modo. </s>
            <s xml:id="echoid-s5510" xml:space="preserve">Accipiatur baculus rectus
              <lb/>
            A B, paulò minor, quàm menſoris ſtatura, diuidaturque in 5. </s>
            <s xml:id="echoid-s5511" xml:space="preserve">partes, vel etiam
              <lb/>
            plures, paucioreſue æquales, & </s>
            <s xml:id="echoid-s5512" xml:space="preserve">in prima eius parte C, velin alia quacunque, in-
              <lb/>
            figatur alius baculus C D, ad rectos angulos, in
              <lb/>
              <figure xlink:label="fig-172-01" xlink:href="fig-172-01a" number="104">
                <image file="172-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/172-01"/>
              </figure>
            quo ſumantur ordine quotcun que palmi, aut pe-
              <lb/>
            des. </s>
            <s xml:id="echoid-s5513" xml:space="preserve">In extremitate quo que baculi A B, infigatur
              <lb/>
            alius baculus B E, ad angulos rectos: </s>
            <s xml:id="echoid-s5514" xml:space="preserve">conſtru-
              <lb/>
            ctumque erit inſtrumentum, quo varias magnitu-
              <lb/>
            dines licebit metiri, vt patebit: </s>
            <s xml:id="echoid-s5515" xml:space="preserve">Sit enim primum
              <lb/>
            metienda diſtantia B F, cuius terminum F, menſor
              <lb/>
            in altero termino B, exiſtens videre poſsit ex A, etiamſi in medio ſint valles, & </s>
            <s xml:id="echoid-s5516" xml:space="preserve">
              <lb/>
            alia impedimenta. </s>
            <s xml:id="echoid-s5517" xml:space="preserve">Conſtituatur inſtrumentum in tali ſitu, vt A B, ſit ad Hori-
              <lb/>
            zontem perpendicularis, & </s>
            <s xml:id="echoid-s5518" xml:space="preserve">B E, eidem æquidiſtans. </s>
            <s xml:id="echoid-s5519" xml:space="preserve">Inſpecto extremo F, ex A,
              <lb/>
            notetur ſumma cura ac diligentia punctum D, in baculo C D, per quod radius
              <lb/>
            viſualis tranſit. </s>
            <s xml:id="echoid-s5520" xml:space="preserve"> Nam cum triangula A C D, A B F, ſint ſimilia; </s>
            <s xml:id="echoid-s5521" xml:space="preserve"> ſi
              <note symbol="a" position="left" xlink:label="note-172-01" xlink:href="note-172-01a" xml:space="preserve">coroll. 4.
                <lb/>
              ſexti.</note>
              <note style="it" position="right" xlink:label="note-172-02" xlink:href="note-172-02a" xml:space="preserve">
                <lb/>
              Vt A C, # Ad A B, # Ita C D, # ad B F,
                <lb/>
              </note>
              <note symbol="b" position="left" xlink:label="note-172-03" xlink:href="note-172-03a" xml:space="preserve">4. ſexti.</note>
            inuenta erit diſtantia B F, in partibus C D. </s>
            <s xml:id="echoid-s5522" xml:space="preserve">Itaque ſi A C, eſt quinta pars, verbi
              <lb/>
            gratia, baculi A B, erit quoque C D, quinta pars diſtantiæ B F. </s>
            <s xml:id="echoid-s5523" xml:space="preserve">Et quia in noſtro
              <lb/>
            exemplo C D, continet 2. </s>
            <s xml:id="echoid-s5524" xml:space="preserve">pedes, ſi eos multiplicemus per 5. </s>
            <s xml:id="echoid-s5525" xml:space="preserve">producentur 10.
              <lb/>
            </s>
            <s xml:id="echoid-s5526" xml:space="preserve">pedes pro diſtantia B F.</s>
            <s xml:id="echoid-s5527" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5528" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5529" xml:space="preserve">
              <emph style="sc">Cvrandvm</emph>
            autem erit diligenter, vt quando radius viſualis non tran-
              <lb/>
            ſit per aliquem pedem integrum baculi C D, inueſtigetur, quot decimæ, vel
              <lb/>
            centeſimæ vnius pedis in particula abſciſſa contineantur, per ea, quæ lib. </s>
            <s xml:id="echoid-s5530" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5531" xml:space="preserve">cap.
              <lb/>
            </s>
            <s xml:id="echoid-s5532" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5533" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s5534" xml:space="preserve">14. </s>
            <s xml:id="echoid-s5535" xml:space="preserve">ſcripſimus, quod fiet, ſi in regula C D, decem pedes comprehen-
              <lb/>
            dantur. </s>
            <s xml:id="echoid-s5536" xml:space="preserve">Idemque de quacunque alia men
              <unsure/>
            ſura intelligendum eſt, ſi ea in C D,
              <lb/>
            loco pedum ſignietur.</s>
            <s xml:id="echoid-s5537" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5538" xml:space="preserve">3. </s>
            <s xml:id="echoid-s5539" xml:space="preserve">
              <emph style="sc">Vervm</emph>
            hoc eadem facilitate præſtitimus ope quadrati, tum penduli,
              <lb/>
            tum ſtabilis.</s>
            <s xml:id="echoid-s5540" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5541" xml:space="preserve">DISTANTIAM inter duo montium aut turrium cacumina, ope
              <lb/>
            prædicti inſtrumenti coniicere.</s>
            <s xml:id="echoid-s5542" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div371" type="section" level="1" n="155">
          <head xml:id="echoid-head158" xml:space="preserve">PROBLEMA XXXVII.</head>
          <p>
            <s xml:id="echoid-s5543" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5544" xml:space="preserve">
              <emph style="sc">Sint</emph>
            duo cacumina montium F, G. </s>
            <s xml:id="echoid-s5545" xml:space="preserve">Po-
              <lb/>
              <figure xlink:label="fig-172-02" xlink:href="fig-172-02a" number="105">
                <image file="172-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/172-02"/>
              </figure>
            ſito puncto B, prædicti inſtrumenti in cacumi-
              <lb/>
            ne F, minoris montis, deprimatur baculus A B,
              <lb/>
            donec baculus B E, recta in cacumen G, ten-
              <lb/>
            dat, quod per duos clauiculos in B, E, infixos,
              <lb/>
            facile fiet, vt Num. </s>
            <s xml:id="echoid-s5546" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5547" xml:space="preserve">problem. </s>
            <s xml:id="echoid-s5548" xml:space="preserve">31. </s>
            <s xml:id="echoid-s5549" xml:space="preserve">diximus. </s>
            <s xml:id="echoid-s5550" xml:space="preserve">Ma-
              <lb/>
            nente in hoc ſitu inſtrumento, inſpiciatur ca-
              <lb/>
            cumen G, ex A, obſeruetur que punctum D, interſectionis radij A G, cum bacu-
              <lb/>
              <note symbol="c" position="left" xlink:label="note-172-04" xlink:href="note-172-04a" xml:space="preserve">coroll. 4.
                <lb/>
              ſexti.</note>
            lo C D. </s>
            <s xml:id="echoid-s5551" xml:space="preserve"> Nam cumæquiangula ſint triangula A C D, A B G, ſi </s>
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