Clavius, Christoph, Geometria practica

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              <pb o="180" file="210" n="210" rhead="GEOMETR. PRACT."/>
            ſimilium elicientur, quarum latera cognita ſint. </s>
            <s xml:id="echoid-s7607" xml:space="preserve">Areas decem figurarum regu-
              <lb/>
              <note position="left" xlink:label="note-210-01" xlink:href="note-210-01a" xml:space="preserve">Facilit{as} præ
                <lb/>
              dictæ regulæ,
                <lb/>
              quando lat{us}
                <lb/>
              figuræ notæ eſt
                <lb/>
              vnit{as}.</note>
            larium, quarum latera ſunt 1. </s>
            <s xml:id="echoid-s7608" xml:space="preserve">hic ſubiecimus, vt per eas ſimilium figurarum, qua-
              <lb/>
            rum latera vnitatem ſuperant, inueſtigari poſsint ex regula Num. </s>
            <s xml:id="echoid-s7609" xml:space="preserve">5. </s>
            <s xml:id="echoid-s7610" xml:space="preserve">vel 6. </s>
            <s xml:id="echoid-s7611" xml:space="preserve">præ-
              <lb/>
            ſcripta; </s>
            <s xml:id="echoid-s7612" xml:space="preserve">quamuis in quadrato id neceſſarium non ſit, cum latus datum in ſe du-
              <lb/>
            ctum producat ſuum quadratum.</s>
            <s xml:id="echoid-s7613" xml:space="preserve"/>
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          <note position="right" xml:space="preserve">
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          Quarum latera ſunt 1. # Figuræ regulares. # Areæ prædicta- \\ rum figurarum ſunt \\ ferè hæ.
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          # Trigonum # {1875000/4330127} Vel {13/30}
            <lb/>
          # Tetragonum # 1
            <lb/>
          # Pentagonum # 1 {8469719/11775706}
            <lb/>
          # Hexagonum # 2 {2990381/5000000}
            <lb/>
          # Heptagonum # 3 {5507221/8677674}
            <lb/>
          # Octogonum # 4 {1585127/1913417}
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          # Enneagonum # 6 {1243755/6840402}
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          # Decagonum # 7 {858089/1236068}
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          # Vndecagonum # 9 {517050/1408663}
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          # Duodecagonum # 11 {84614/431365}
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              <emph style="sc">Possvnt</emph>
            autem hę fractiones ad minores ferè æquiualentes, ſi placet, re-
              <lb/>
              <note position="left" xlink:label="note-210-03" xlink:href="note-210-03a" xml:space="preserve">Qua ratione
                <lb/>
              beneficio late-
                <lb/>
              rum ſuperio-
                <lb/>
              ris tabulæ a-
                <lb/>
              reæ figurarum
                <lb/>
              regularium
                <lb/>
              inueniantur.</note>
            uo cari, vt ſupra Num. </s>
            <s xml:id="echoid-s7615" xml:space="preserve">4. </s>
            <s xml:id="echoid-s7616" xml:space="preserve">docuimus.</s>
            <s xml:id="echoid-s7617" xml:space="preserve"/>
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            <s xml:id="echoid-s7618" xml:space="preserve">7. </s>
            <s xml:id="echoid-s7619" xml:space="preserve">
              <emph style="sc">Areæ</emph>
            porro hæ procreatę ſunt per regulam Num. </s>
            <s xml:id="echoid-s7620" xml:space="preserve">1. </s>
            <s xml:id="echoid-s7621" xml:space="preserve">præſcriptam, inuen-
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            tis prius perpendicularibus ex centris in latera cadentibus, licet in nonnullis
              <lb/>
            figuris anguli contineant ſecunda, ac tertia, pręter gradus, & </s>
            <s xml:id="echoid-s7622" xml:space="preserve">minuta; </s>
            <s xml:id="echoid-s7623" xml:space="preserve">hoc mo-
              <lb/>
            do. </s>
            <s xml:id="echoid-s7624" xml:space="preserve">Pro heptagono, verbi gratia, ex ſup eriori tabula ſumpta eſt ſemiſsis lateris
              <lb/>
            heptagoni 4338837. </s>
            <s xml:id="echoid-s7625" xml:space="preserve">(quando numerus lateris eſt impar, addenda eſt 1. </s>
            <s xml:id="echoid-s7626" xml:space="preserve">vt fiat
              <lb/>
            par, ac proinde ſemiſſem habeat, quandoquidem minus eſt vero latere, vt dixi-
              <lb/>
            mus. </s>
            <s xml:id="echoid-s7627" xml:space="preserve">Deinde, quia, vtin tractatione ſinuum dictum eſt, ſemiſsis hęc ſinus eſt an-
              <lb/>
            guli oppoſiti in centro, quęſitus eſt is angulus ex tabula ſinuum (adhibita parte
              <lb/>
            proportionali, quemadmodum ad finem Lemmatis 53. </s>
            <s xml:id="echoid-s7628" xml:space="preserve">noſtri Aſtrolabij docui-
              <lb/>
            mus, vtangulus reperiretur in gradibus, minutis, ac ſecundis.) </s>
            <s xml:id="echoid-s7629" xml:space="preserve">inuentuſque eſt
              <lb/>
            grad. </s>
            <s xml:id="echoid-s7630" xml:space="preserve">25. </s>
            <s xml:id="echoid-s7631" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7632" xml:space="preserve">42. </s>
            <s xml:id="echoid-s7633" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s7634" xml:space="preserve">51.</s>
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