Clavius, Christoph, Geometria practica

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            <s xml:id="echoid-s17712" xml:space="preserve">
              <pb o="375" file="403" n="403" rhead="LIBER OCTAVVS."/>
            æquilatera, quæ fere ratio ab artificibus ſeruari ſolet, deſcrip ſimus hic duas fi-
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            guras. </s>
            <s xml:id="echoid-s17713" xml:space="preserve">In minori eſt latus BA, rectæ AE, duplum, in maiorivero æquale, &</s>
            <s xml:id="echoid-s17714" xml:space="preserve">c.</s>
            <s xml:id="echoid-s17715" xml:space="preserve"/>
          </p>
          <figure number="292">
            <image file="403-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/403-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s17716" xml:space="preserve">
              <emph style="sc">Iam</emph>
            verò area figuræ ouatæ, beneficio trianguli æquilateri deſcriptæ, quam
              <lb/>
              <note position="right" xlink:label="note-403-01" xlink:href="note-403-01a" xml:space="preserve">Area figura
                <lb/>
              ouatæ hic de
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              ſcripta.</note>
            artifices non raro expetunt, facilè inuenietur, hoc modo. </s>
            <s xml:id="echoid-s17717" xml:space="preserve">Sector BEK, eſt ſe-
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            xta pars circuli, cuius ſemidiameter BE, nota, nimirum latus trianguli ęquilate-
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            ri BEK, quod eſt in maiorifigura duplum lateris AB, aſſumpti ad libitum: </s>
            <s xml:id="echoid-s17718" xml:space="preserve">in mi-
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            nori vero ſeſquialterum eſt eiuſdem lateris AB. </s>
            <s xml:id="echoid-s17719" xml:space="preserve">Inuenta ergo area illius circuli,
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            vt lib. </s>
            <s xml:id="echoid-s17720" xml:space="preserve">4. </s>
            <s xml:id="echoid-s17721" xml:space="preserve">cap. </s>
            <s xml:id="echoid-s17722" xml:space="preserve">7. </s>
            <s xml:id="echoid-s17723" xml:space="preserve">docuimus, ſi ex eius ſexta parte dematur triangulum æquilate-
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            rum BEK, cuius area reperietur per ea, quæ in eodem lib. </s>
            <s xml:id="echoid-s17724" xml:space="preserve">4. </s>
            <s xml:id="echoid-s17725" xml:space="preserve">cap. </s>
            <s xml:id="echoid-s17726" xml:space="preserve">2. </s>
            <s xml:id="echoid-s17727" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s17728" xml:space="preserve">5. </s>
            <s xml:id="echoid-s17729" xml:space="preserve">tradi-
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            ta ſunt: </s>
            <s xml:id="echoid-s17730" xml:space="preserve">reliquum fiet ſegmentum EK, ac proinde & </s>
            <s xml:id="echoid-s17731" xml:space="preserve">GH, notum. </s>
            <s xml:id="echoid-s17732" xml:space="preserve">Item ſector
              <lb/>
            AGE, eſt pars duo decima circuli, cuius ſemidiameter AG, nota, nimirum vel æ-
              <lb/>
            qualis lateri aſſumpto AB, vel ſemiſsis ipſius. </s>
            <s xml:id="echoid-s17733" xml:space="preserve">Si igitur ex duo decima parte areæ
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            illius circuli auferatur area Iſoſcelis AGE, quæ reperietur per ea, quæ lib. </s>
            <s xml:id="echoid-s17734" xml:space="preserve">4. </s>
            <s xml:id="echoid-s17735" xml:space="preserve">cap.
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            </s>
            <s xml:id="echoid-s17736" xml:space="preserve">2. </s>
            <s xml:id="echoid-s17737" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s17738" xml:space="preserve">4. </s>
            <s xml:id="echoid-s17739" xml:space="preserve">ſcrip ſimus: </s>
            <s xml:id="echoid-s17740" xml:space="preserve">remanebit ſegmentum GFE, notum, ideoque & </s>
            <s xml:id="echoid-s17741" xml:space="preserve">ſegmen-
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            tum H I K. </s>
            <s xml:id="echoid-s17742" xml:space="preserve">Quocirca ſi quatuor ſegmentis cognitis adij ciatur area rectanguli
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            EGHK, cognita erit area totius figuræ. </s>
            <s xml:id="echoid-s17743" xml:space="preserve">Cognoſcetur autem area huius rectan-
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            guli ex doctrina cap. </s>
            <s xml:id="echoid-s17744" xml:space="preserve">1. </s>
            <s xml:id="echoid-s17745" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s17746" xml:space="preserve">4. </s>
            <s xml:id="echoid-s17747" xml:space="preserve">cum latus E K, chorda ſit ſextæ partis circuli, hoc
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            eſt, ſemidiametro æquale: </s>
            <s xml:id="echoid-s17748" xml:space="preserve">at E F, ſit ſinus grad. </s>
            <s xml:id="echoid-s17749" xml:space="preserve">60. </s>
            <s xml:id="echoid-s17750" xml:space="preserve">id eſt, ſemiſsis chordæ
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            grad. </s>
            <s xml:id="echoid-s17751" xml:space="preserve">120.</s>
            <s xml:id="echoid-s17752" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17753" xml:space="preserve">
              <emph style="sc">Vervm</emph>
            quia hac ratione deſcribi nequit figura ad datam longitudinem,
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            latitudinem que; </s>
            <s xml:id="echoid-s17754" xml:space="preserve">(quoniam ſi longitudo eligatur FI, ignotum erit, quanta ſit fu-
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            tura latitudo: </s>
            <s xml:id="echoid-s17755" xml:space="preserve">propterea quod arcus ex B, D, deſcripti raro tranſeunt per electa
              <lb/>
            puncta latitudinis: </s>
            <s xml:id="echoid-s17756" xml:space="preserve">Siverò eligatur latitudo L M, in prima figura, ignorabitur fu-
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            tura longitudo: </s>
            <s xml:id="echoid-s17757" xml:space="preserve">quip pe cum arcus ex A, C, deſcriptiraro etiam per electa pun-
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            cto longitudinis tranſeant: </s>
            <s xml:id="echoid-s17758" xml:space="preserve">vt perſpicuum eſt.) </s>
            <s xml:id="echoid-s17759" xml:space="preserve">do cebimus cum Ioan. </s>
            <s xml:id="echoid-s17760" xml:space="preserve">Baptiſta
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            Benedicto, quo pacto, data tam longitudine, quam latiudine figura Ellip ſi ſimi-
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            lis deſcribenda ſit. </s>
            <s xml:id="echoid-s17761" xml:space="preserve">Sitergo data longitudo AB, & </s>
            <s xml:id="echoid-s17762" xml:space="preserve">latitudo CD, quæ ſe </s>
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