Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div217" type="section" level="1" n="97">
          <pb o="84" file="114" n="114"/>
          <figure number="49">
            <image file="114-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/114-01"/>
          </figure>
        </div>
        <div xml:id="echoid-div218" type="section" level="1" n="98">
          <head xml:id="echoid-head101" xml:space="preserve">GEOMETRIÆ
            <lb/>
          PRACTICÆ
            <lb/>
          LIBER TERTIVS.</head>
          <p>
            <s xml:id="echoid-s3245" xml:space="preserve">Earundem linearum rectarum dimenſionem per
              <lb/>
            Quadratum Geometricum exequens.</s>
            <s xml:id="echoid-s3246" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s3247" xml:space="preserve">QVONIAM dimenſio rectarum linearum per Qua-
              <lb/>
            drantem Aſtronomicum ſuperiori lib. </s>
            <s xml:id="echoid-s3248" xml:space="preserve">expoſita requirit
              <lb/>
            tabul{as} Sinuum, Tangentium, & </s>
            <s xml:id="echoid-s3249" xml:space="preserve">ſecantium, non ſem-
              <lb/>
            per autem eiuſmodi tabul{as} ad manum habere poſſu-
              <lb/>
            m{us}, immo neque omnes in illis verſati ſunt, atque exer-
              <lb/>
            citati: </s>
            <s xml:id="echoid-s3250" xml:space="preserve">propoſitum nobis tertio hoc libro eſt, line{as} rect{as},
              <lb/>
            longitudines videlicet, latitudines, altitudines, & </s>
            <s xml:id="echoid-s3251" xml:space="preserve">pro-
              <lb/>
            funditates dimeriri per Quadratum Geometricum, vbi prædictis tabulis non
              <lb/>
            indigem{us}, ſed omnia per vmbram rectam, & </s>
            <s xml:id="echoid-s3252" xml:space="preserve">verſam; </s>
            <s xml:id="echoid-s3253" xml:space="preserve">vt vocant, expediuntur.
              <lb/>
            </s>
            <s xml:id="echoid-s3254" xml:space="preserve">Qua tamen in re non nihil ab aliis ſcriptorib{us} diſſidebim{us}, quippe cum aliter
              <lb/>
            tam vmbram rectam, quam verſam in partes diuiſuri ſim{us}, quam ab illis fieri
              <lb/>
            ſolet: </s>
            <s xml:id="echoid-s3255" xml:space="preserve">vt nimirum per noſtram partitionem expediti{us} dimenſiones perfician-
              <lb/>
            tur; </s>
            <s xml:id="echoid-s3256" xml:space="preserve">quod prudens Lector facilè iudicabit, ſi noſtrã hanc diuiſionis rationem cum
              <lb/>
            aliorum partitione contulerit. </s>
            <s xml:id="echoid-s3257" xml:space="preserve">Sed principio Quadr atum Geometricum con-
              <lb/>
            ſtruendum est, explicandumque quo pacto tam in Quadrato ſtabili, quam in
              <lb/>
            pendulo vtraque vmbra, recta videlicet, ac verſa conſiderari debeat. </s>
            <s xml:id="echoid-s3258" xml:space="preserve">Neque
              <lb/>
            enim ſemper eundem ſitum prædictæ vmbræ in inſtrumento ſeruant, ſed pro va-
              <lb/>
            rietate vſuum non raro eum permutare ſolent, vt exiis, quæſequuntur, liquido
              <lb/>
            conſtabit.</s>
            <s xml:id="echoid-s3259" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div219" type="section" level="1" n="99">
          <head xml:id="echoid-head102" xml:space="preserve">QVADRATI GEOMETRICI CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s3260" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3261" xml:space="preserve">
              <emph style="sc">Ex</emph>
            quauis materia ſolida & </s>
            <s xml:id="echoid-s3262" xml:space="preserve">dura conficiatur quadratum A B C D, ſiue
              <lb/>
              <note position="left" xlink:label="note-114-01" xlink:href="note-114-01a" xml:space="preserve">Compoſitio
                <lb/>
              Quadrati
                <lb/>
              Geometrici.</note>
            ſolidum totum, ſiue excauatum: </s>
            <s xml:id="echoid-s3263" xml:space="preserve">vel potius ex quatuor regulis æqualibus AB,
              <lb/>
            BC, CD, DA, ita compactum, vt omnes in vno eo demqueplano exiſtant. </s>
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