Clavius, Christoph, Geometria practica

Page concordance

< >
Scan Original
191 161
192 162
193 163
194 164
195 165
196 166
197 167
198 168
199 169
200 170
201 171
202 172
203 173
204 174
205 175
206 176
207 177
208 178
209 179
210 180
211 181
212 182
213 183
214 184
215 185
216 186
217 187
218 188
219 189
220 190
< >
page |< < (180) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div472" type="section" level="1" n="175">
          <p>
            <s xml:id="echoid-s7606" xml:space="preserve">
              <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"/>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          Quarum latera ſunt 1. # Figuræ regulares. # Areæ prædicta- \\ rum figurarum ſunt \\ ferè hæ.
            <lb/>
          # 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}
            <lb/>
          # Enneagonum # 6 {1243755/6840402}
            <lb/>
          # Decagonum # 7 {858089/1236068}
            <lb/>
          # Vndecagonum # 9 {517050/1408663}
            <lb/>
          # Duodecagonum # 11 {84614/431365}
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s7614" xml:space="preserve">
              <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"/>
          </p>
          <p>
            <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-
              <lb/>
            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>
            <s xml:id="echoid-s7635" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>