Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657

Table of figures

< >
[Figure 51]
Page: 156
[Figure 52]
Page: 156
[Figure 53]
Page: 157
[Figure 54]
Page: 160
[Figure 55]
Page: 163
[Figure 56]
Page: 164
[Figure 57]
Page: 166
[Figure 58]
Page: 167
[Figure 59]
Page: 167
[Figure 60]
Page: 169
[Figure 61]
Page: 171
[Figure 62]
Page: 174
[Figure 63]
Page: 175
[Figure 64]
Page: 176
[Figure 65]
Page: 178
[Figure 66]
Page: 178
[Figure 67]
Page: 179
[Figure 68]
Page: 179
[Figure 69]
Page: 180
[Figure 70]
Page: 181
[Figure 71]
Page: 186
[Figure 72]
Page: 191
[Figure 73]
Page: 191
[Figure 74]
Page: 192
[Figure 75]
Page: 192
[Figure 76]
Page: 192
[Figure 77]
Page: 193
[Figure 78]
Page: 193
[Figure 79]
Page: 194
[Figure 80]
Page: 195
< >
page |< < of 203 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="051/01/176.jpg" pagenum="145"/>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio I.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Inter duos numeros medium proportiona­
                <lb/>
              lem invenire.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>DUos numeros propoſitos multiplica interſe, & ex producto </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg249"/>
                <lb/>
              erue radicem quadratam; erit hæc radix medio loco pro­
                <lb/>
              portionalis inter duos numeros datos. </s>
              <s>Exemplum. </s>
              <s>Sit inter 4
                <lb/>
              & 16 inveniendus medius proportionalis numerus: multiplica
                <lb/>
              16 per 4, fiunt 64; cuius radix quadrata eſt 8, eſtque medio
                <lb/>
              loco proportionalis inter 4 & 16; quia ut eſt 4 ad 8, ita 8 ad 16. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg249"/>
                <emph type="italics"/>
              Numerum
                <lb/>
              medium in­
                <lb/>
              ter duos in­
                <lb/>
              venire.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio II.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Datis duobus numeris, tertium continuè
                <lb/>
              proportionalem invenire.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>TRes numeri continuè proportionales dicuntur, quando eſt,
                <lb/>
                <arrow.to.target n="marg250"/>
                <lb/>
              ut primus ad ſecundum, ita ſecundus ad tertium. </s>
              <s>Huiusmodi
                <lb/>
              ſunt 1, 3, 9, & 1, 2, 4: item 2, 4, 8: item 4, 8, 16. </s>
              <s>Propoſitisigi­
                <lb/>
              tur quibuscunque duobus numeris, in venietur tertius, qui ad
                <lb/>
              ſecundum ſit ut ipſe ſecundus ad primum, ſeu ad quem ſecun­
                <lb/>
              dus ſit ut primus ad ſecundum; ſi ſecundum ducas in ſeipſum;
                <lb/>
              productus enim erit tertius proportionalis. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg250"/>
                <emph type="italics"/>
              Numerum
                <lb/>
              tertium
                <expan abbr="pro-portionalẽ">pro­
                  <lb/>
                portionalem</expan>
                <lb/>
              poſt duos in­
                <lb/>
              venire.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio III.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Inter duas rectas lineas datas invenire mediam
                <lb/>
              proportionalem.
                <emph.end type="center"/>
              </s>
            </p>
            <figure id="id.051.01.176.1.jpg" xlink:href="051/01/176/1.jpg" number="64"/>
            <p type="main">
              <s>SInt datæ duæ rectæ AB, BC, inter
                <lb/>
                <arrow.to.target n="marg251"/>
                <lb/>
              quas invenienda ſit media propor­
                <lb/>
              tionalis. </s>
              <s>Coniungantur rectæ AB, CB
                <lb/>
              in unam rectam continuam in puncto
                <lb/>
              B, ut fiat recta ABC; eâque divisâ bi­
                <lb/>
              fariam in D, deſcribatur ſemicirculus
                <lb/>
              aut circulus AEC, ad intervallum
                <lb/>
              DA, vel DC; tandemque ex B pun­
                <lb/>
              cto erigatur perpendicularis BE ad
                <lb/>
              circumferentiam uſque; eritque BE </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum