Cataneo, Girolamo, Hier. Cataneus de arte bellica, sive, de designandis ac construendis arcibus & propugnaculis, necnon & de iis oppugnandis, expugnandis ac propugnandis : de itinere exercitus, ac castrametatione, quando expediat manus cum hoste conserere, 1600

Page concordance

< >
Scan Original
21 13
22 14
23 15
24 16
25 17
26 18
27 19
28 20
29 21
30 22
31 23
32 24
33 25
34 26
35 27
36 28
37 29
38 30
39 31
40 32
41 33
42 34
43
44 35
45
46 37
47 38
48
49
50 39
< >
page |< < (13) of 184 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div11" type="section" level="1" n="8">
          <p>
            <s xml:id="echoid-s289" xml:space="preserve">
              <pb o="13" file="0013" n="21" rhead=""/>
            dato, ab eo puncto producere lineam æ qui-
              <lb/>
            diſtantem ſeu parallelam lineæ datæ.</s>
            <s xml:id="echoid-s290" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s291" xml:space="preserve">Sit linea data
              <emph style="sc">AB</emph>
            , punctum verò datum extra eam
              <lb/>
            ſit
              <emph style="sc">C</emph>
            , à puncto
              <emph style="sc">C</emph>
            ducemus lineam rectam æquidiſtan-
              <lb/>
            tem lineæ
              <emph style="sc">AB</emph>
            hunc in modum: </s>
            <s xml:id="echoid-s292" xml:space="preserve">Ducemus a puncto
              <emph style="sc">C</emph>
              <lb/>
            lineam rectam in lineam
              <emph style="sc">AB</emph>
            , quæ erit linea
              <emph style="sc">CE</emph>
            : </s>
            <s xml:id="echoid-s293" xml:space="preserve">ſicq́; </s>
            <s xml:id="echoid-s294" xml:space="preserve">ha
              <lb/>
            bebimus angulum
              <emph style="sc">CEA</emph>
            . </s>
            <s xml:id="echoid-s295" xml:space="preserve">Præterea ſupra lineam
              <emph style="sc">AB</emph>
            de-
              <lb/>
            ſcribemus angulum angulo
              <emph style="sc">CEA</emph>
            æqualem, angulum
              <lb/>
            ſcilicet
              <emph style="sc">FGA</emph>
            , idq́; </s>
            <s xml:id="echoid-s296" xml:space="preserve">per primam operationem, ſumpto
              <lb/>
            pro libito in dicta linea
              <emph style="sc">AB</emph>
            puncto
              <emph style="sc">G</emph>
            : </s>
            <s xml:id="echoid-s297" xml:space="preserve">quo facto facie-
              <lb/>
            mus lineam
              <emph style="sc">GF</emph>
            æqualem lineæ
              <emph style="sc">EC</emph>
            , per tertiam propo-
              <lb/>
            ſitionem primi Euclidis: </s>
            <s xml:id="echoid-s298" xml:space="preserve">deinde à puncto
              <emph style="sc">C</emph>
            ad pun-
              <lb/>
            ctum
              <emph style="sc">F</emph>
            ducemus lineam rectam, quæ erit
              <emph style="sc">CF</emph>
            .</s>
            <s xml:id="echoid-s299" xml:space="preserve"/>
          </p>
          <figure number="20">
            <image file="0013-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/archimedes_repository/large/catan_belli_502_la_1600/figures/0013-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s300" xml:space="preserve">Quòd ſi probare velimus lineam
              <emph style="sc">CF</emph>
            lineæ
              <emph style="sc">AB</emph>
            æqui
              <lb/>
            diſtantem eſſe, id hoc pacto fiet. </s>
            <s xml:id="echoid-s301" xml:space="preserve">Angulus
              <emph style="sc">CEA</emph>
            , & </s>
            <s xml:id="echoid-s302" xml:space="preserve">an-
              <lb/>
            gulus
              <emph style="sc">FGA</emph>
            æquales ſunt ex ipſa conſtructione: </s>
            <s xml:id="echoid-s303" xml:space="preserve">linea
              <lb/>
            igitur
              <emph style="sc">CE</emph>
            æquidiſtans eſt lineæ
              <emph style="sc">GF</emph>
            , per primam partem
              <lb/>
            vigeſimæ octauæ propoſitionis primi Euclidis. </s>
            <s xml:id="echoid-s304" xml:space="preserve">Præte-
              <lb/>
            rea linea
              <emph style="sc">GF</emph>
            facta eſt æqualis lineæ
              <emph style="sc">CE</emph>
            per conſtructio-
              <lb/>
            nem: </s>
            <s xml:id="echoid-s305" xml:space="preserve">ſicq́; </s>
            <s xml:id="echoid-s306" xml:space="preserve">per trigeſimam tertiam primi Euclidis, li-
              <lb/>
            nea
              <emph style="sc">CF</emph>
            æquidiſtans erit lineæ
              <emph style="sc">AB</emph>
            , quod erat proban-
              <lb/>
            dum.</s>
            <s xml:id="echoid-s307" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum