Ceva, Giovanni, Geometria motus, 1692

List of thumbnails

< >
71
71
72
72
73
73
74
74
75
75
76
76
77
77
78
78
79
79
80
80
< >
page |< < of 110 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000723">
                <pb pagenum="73" xlink:href="022/01/079.jpg"/>
              torum motuum ex ſimplicibus geneſibus, quæ ſint in ea­
                <lb/>
              dem altitudine DFG, KFG, ſunt in reciproca ratione am­
                <lb/>
              plitudinum, ſeu primarum velocitatum KG ad DG, vel
                <lb/>
              BC; ex æquali igitur ſpatia acceleratorum motuum ex
                <lb/>
              propoſitis ſimplicibus geneſibus BAC, KFG nectentur ex
                <lb/>
              ratione duplicata altitudinum AC ad FG, & reciproca
                <lb/>
              amplitudinum KG ad BC earundem geneſum BAC,
                <lb/>
              KFG. </s>
              <s id="s.000724">Quod &c. </s>
            </p>
            <p type="margin">
              <s id="s.000725">
                <margin.target id="marg170"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              7.
                <emph type="italics"/>
              fig.
                <emph.end type="italics"/>
              6.</s>
            </p>
            <p type="margin">
              <s id="s.000726">
                <margin.target id="marg171"/>
              28.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000727">
                <margin.target id="marg172"/>
              29.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000728">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000729">
                <emph type="italics"/>
              At quia in ſpatijs, quæ accelerato motu peraguntur; non
                <lb/>
              ſeruatur ratio altitudinum geneſum ſimplicium, ex quo ori­
                <lb/>
              tur in hac methodo quædam percipiendi difficultas; ideo ſe­
                <lb/>
              quenti problemate, alijſque iam notis veritatibus, rem planè
                <lb/>
              illuſtrabimus, ac ſimul doctrina vſum trademus.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000730">
                <emph type="center"/>
              PROP. XXXI. PROB. VI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000731">EX datis ſpatijs accelerato motu confectis, cognitiſ­
                <lb/>
              que primis, aut poſtremis ſimilium, ſimpliciumque
                <lb/>
              motuum velocitatibus, reperire tempora ipſorum de­
                <lb/>
              curſuum. </s>
            </p>
            <p type="main">
              <s id="s.000732">Spatia motibus acceleratis exacta ſunt C, D, & velo­
                <lb/>
                <arrow.to.target n="marg173"/>
                <lb/>
              tates, ſeu amplitudines geneſum ponantur eſſe A, B, ſcili­
                <lb/>
              cet A principio motus per C, & B initio motus per D, quæ­
                <lb/>
              ritur ratio temporum, quibus exiguntur propoſita ſpatia.
                <lb/>
              </s>
              <s id="s.000733">Vt A ad B, ita fiat C ad E, & inter E, et D ſumatur F me­
                <lb/>
              dia proportionalis. </s>
              <s id="s.000734">Dico ipſa tempora eſſe vt E ad F.
                <lb/>
              </s>
              <s id="s.000735">Componuntur ſpatia acceleratis motibus exacta ex ratio­
                <lb/>
                <arrow.to.target n="marg174"/>
                <lb/>
              ne quadratorum temporum, & ex ea amplitudinum, ſeu
                <lb/>
              homologarum velocitatum in ſimplicibus motibus, ſimili­
                <lb/>
                <arrow.to.target n="marg175"/>
                <lb/>
              buſque ſumptarum; & ideo temporum quadrata necten­
                <lb/>
              tur ex ratione ſpatiorum C ad D, & ex reciproca ampli-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>