Clavius, Christoph, Geometria practica

List of thumbnails

< >
121
121 (91) 		122
122 (92)
123
123 (93) 		124
124 (96)
125
125 (95) 		126
126 (96)
127
127 (97) 		128
128 (98)
129
129 (99) 		130
130 (100)
< >
page |< < (206) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div558" type="section" level="1" n="204">
          <p>
            <s xml:id="echoid-s9217" xml:space="preserve">
              <pb o="206" file="236" n="236" rhead="GEOMETR. PRACT."/>
            ſunt & </s>
            <s xml:id="echoid-s9218" xml:space="preserve">æqualia, & </s>
            <s xml:id="echoid-s9219" xml:space="preserve">ſimilia, & </s>
            <s xml:id="echoid-s9220" xml:space="preserve">parallela; </s>
            <s xml:id="echoid-s9221" xml:space="preserve">alia verò parallelogramma. </s>
            <s xml:id="echoid-s9222" xml:space="preserve">Vt eſt ſo-
              <lb/>
            lidum ADF, cuius baſes ſunt pentagona ABCDE, FGHIK, parallela, & </s>
            <s xml:id="echoid-s9223" xml:space="preserve">æqua-
              <lb/>
            lia. </s>
            <s xml:id="echoid-s9224" xml:space="preserve">Hanc figuram ſolidam repræſentat columna aliqua laterata æqualis craſsi-
              <lb/>
            tudinis, cuiu, baſes oppoſitæ ſunt æquales, ſimiles, ac parallelę, ſiue hæ triangu-
              <lb/>
            la ſint, ſiue quadrangula, ſiue pentagona, &</s>
            <s xml:id="echoid-s9225" xml:space="preserve">c. </s>
            <s xml:id="echoid-s9226" xml:space="preserve">Ex quo fit, vt priſma quodcun-
              <lb/>
            que ambiant tot parallelo gramma, quot latera, vel anguli in vnoquo que op-
              <lb/>
            poſitorum planorum reperiuntur. </s>
            <s xml:id="echoid-s9227" xml:space="preserve">Vt propoſitum priſma ambiunt quinque
              <lb/>
            parallelogramma ABGF, BCHG, CDIH, DEKI, EAFK. </s>
            <s xml:id="echoid-s9228" xml:space="preserve">Area porro cuiusli-
              <lb/>
              <note position="left" xlink:label="note-236-01" xlink:href="note-236-01a" xml:space="preserve">Area priſma-
                <lb/>
              tis, tam recti,
                <lb/>
              quam obliqui.</note>
            bet priſmatis inuenietur, ſi area baſis inquiratur, atque in altitudinem ducatur.
              <lb/>
            </s>
            <s xml:id="echoid-s9229" xml:space="preserve">Nam ſi concipiatur parallelepipedum eiuſdem
              <lb/>
              <figure xlink:label="fig-236-01" xlink:href="fig-236-01a" number="152">
                <image file="236-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/236-01"/>
              </figure>
            altitudinis cum priſmate, habens baſem, rectan-
              <lb/>
            gulũ baſi priſmatis æquale; </s>
            <s xml:id="echoid-s9230" xml:space="preserve"> erit hoc
              <note symbol="a" position="left" xlink:label="note-236-02" xlink:href="note-236-02a" xml:space="preserve">2. coroll. 7.
                <lb/>
              duodec.</note>
            pipedum priſmati ęquale. </s>
            <s xml:id="echoid-s9231" xml:space="preserve">Cũ ergo parallelepi-
              <lb/>
            pedũ producatur ex ſua baſe in altitudinem,
              <lb/>
            procreabitur quoque priſma ex multiplicatio-
              <lb/>
            ne ſuę baſis in altitudinem. </s>
            <s xml:id="echoid-s9232" xml:space="preserve">Area porro baſis
              <lb/>
            cognoſcetur ex iis, quæ lib. </s>
            <s xml:id="echoid-s9233" xml:space="preserve">4. </s>
            <s xml:id="echoid-s9234" xml:space="preserve">ſcrip ſimus, & </s>
            <s xml:id="echoid-s9235" xml:space="preserve">altitudo priſmatis, ſi eius latera re-
              <lb/>
            cta non ſint ad baſem, exploranda
              <unsure/>
            erit, vt cap. </s>
            <s xml:id="echoid-s9236" xml:space="preserve">præcedente Num. </s>
            <s xml:id="echoid-s9237" xml:space="preserve">2. </s>
            <s xml:id="echoid-s9238" xml:space="preserve">altitudinem
              <lb/>
            parallelepidi inueſtigandam eſſe præ@p
              <unsure/>
            imus.</s>
            <s xml:id="echoid-s9239" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9240" xml:space="preserve">5. </s>
            <s xml:id="echoid-s9241" xml:space="preserve">
              <emph style="sc">Cylindrvs</emph>
            eſt figura ſolida æqualis craſsitiei, quæ duobus circulis
              <lb/>
            æqualibus, & </s>
            <s xml:id="echoid-s9242" xml:space="preserve">æquidiſtantibus, & </s>
            <s xml:id="echoid-s9243" xml:space="preserve">rotunda ſuperficie inter ipſos interiecta con-
              <lb/>
            tinetur, inſtar columnę cuiuſpiam rotundæ. </s>
            <s xml:id="echoid-s9244" xml:space="preserve">Vt eſt ſolidum A C H, cuius baſes
              <lb/>
            ſunt duo circuli ABCD, EFGH, paralleli, & </s>
            <s xml:id="echoid-s9245" xml:space="preserve">æquales. </s>
            <s xml:id="echoid-s9246" xml:space="preserve">Huius quo que area pro-
              <lb/>
            creabitur ex multiplicatione baſis, ex cap. </s>
            <s xml:id="echoid-s9247" xml:space="preserve">7. </s>
            <s xml:id="echoid-s9248" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s9249" xml:space="preserve">4. </s>
            <s xml:id="echoid-s9250" xml:space="preserve">inuentę in altitudinem.
              <lb/>
            </s>
            <s xml:id="echoid-s9251" xml:space="preserve">quod in Cylindro recto explicabitur, vt Num. </s>
            <s xml:id="echoid-s9252" xml:space="preserve">1. </s>
            <s xml:id="echoid-s9253" xml:space="preserve">in parallelepipedo recto fa-
              <lb/>
            ctum eſt. </s>
            <s xml:id="echoid-s9254" xml:space="preserve">Nam ſi verbi gratia baſis Cylindri circularis ABCD, continet 10. </s>
            <s xml:id="echoid-s9255" xml:space="preserve">pal-
              <lb/>
            mos quadratos, explebunt 10. </s>
            <s xml:id="echoid-s9256" xml:space="preserve">cubi palmares ſupra illos 10. </s>
            <s xml:id="echoid-s9257" xml:space="preserve">palmos quadratos
              <lb/>
            extructi, Cylindrum vſque ad primum palmum altitudinis; </s>
            <s xml:id="echoid-s9258" xml:space="preserve">at 20. </s>
            <s xml:id="echoid-s9259" xml:space="preserve">cubi eundem
              <lb/>
            explebunt vſque ad ſecundum palmum, &</s>
            <s xml:id="echoid-s9260" xml:space="preserve">c. </s>
            <s xml:id="echoid-s9261" xml:space="preserve">Quod ſi Cylindrus obliquus ſit,
              <lb/>
            exquirenda erit eius altitudo per lineam perpendicularem ex ſuperiore baſe de-
              <lb/>
            miſſam ad planum, in quo inferior baſis exiſtit, atque in hanc altitudinem area
              <lb/>
            baſis ex cap. </s>
            <s xml:id="echoid-s9262" xml:space="preserve">7. </s>
            <s xml:id="echoid-s9263" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s9264" xml:space="preserve">4. </s>
            <s xml:id="echoid-s9265" xml:space="preserve">inuenta multiplicanda. </s>
            <s xml:id="echoid-s9266" xml:space="preserve">Productus enim numerus dabit
              <lb/>
            aream Cylindri propoſiti, cum æqualis ſit Cylindro recto eandem cum
              <note symbol="b" position="left" xlink:label="note-236-03" xlink:href="note-236-03a" xml:space="preserve">coroll. 11.
                <lb/>
              duodec.</note>
            baſem, & </s>
            <s xml:id="echoid-s9267" xml:space="preserve">altitudinem habenti.</s>
            <s xml:id="echoid-s9268" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div565" type="section" level="1" n="205">
          <head xml:id="echoid-head219" xml:space="preserve">DE AREA PYRAMIDVM
            <lb/>
          & Conorum.</head>
          <head xml:id="echoid-head220" xml:space="preserve">
            <emph style="sc">Capvt</emph>
          II.</head>
          <p>
            <s xml:id="echoid-s9269" xml:space="preserve">1. </s>
            <s xml:id="echoid-s9270" xml:space="preserve">
              <emph style="sc">PYramis</emph>
            eſt figura ſolida, quę planis continetur ab vno plano ad
              <note symbol="c" position="left" xlink:label="note-236-04" xlink:href="note-236-04a" xml:space="preserve">defin. 12.
                <lb/>
              vndec.</note>
            num punctum conſtituta. </s>
            <s xml:id="echoid-s9271" xml:space="preserve">Vt figura ſolida A B C D E F, ad punctum
              <lb/>
            F, conſtituta ſupra baſem pentagonam A B C D E, & </s>
            <s xml:id="echoid-s9272" xml:space="preserve">quam </s>
          </p>
        </div>
      </text>
    </echo>
Impressum