Valerio, Luca, De centro gravitatis solidorvm libri tres

Page concordance

< >
Scan Original
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/139.jpg" pagenum="52"/>
              ram ex cylindris vel cylindri portionibus, vel
                <expan abbr="parallelogrã-mis">parallelogram­
                  <lb/>
                mis</expan>
              æqualium
                <expan abbr="altitudinũ">altitudinum</expan>
              circumſcribi poſſe, cuius centrum
                <lb/>
              grauitatis ſit propinquius puncto F, quàm punctum G: figu­
                <lb/>
              ræ enim ABC figura, qualem diximus circumſcribatur, cu­
                <lb/>
              ius reſiduum dempta figura ABC, ad figuram ABC mi­
                <lb/>
              norem habeat proportionem, quàm FG, ad GB, ſit autem
                <lb/>
              figuræ circumſcriptæ centrum grauitatis K, nempe in axe,
                <lb/>
              vel diametro BD. </s>
              <s>Dico
                <lb/>
              lineam FK minorem eſſe
                <lb/>
              quàm FG, atque adeo lon
                <lb/>
              gitudine propoſita. </s>
              <s>Quo­
                <lb/>
              niam enim F eſt centrum
                <lb/>
              grauitatis figuræ ABC,
                <lb/>
              erit centrum grauitatis
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              ,
                <lb/>
              figuræ circumſcriptæ ipſi
                <lb/>
              ABC propinquius termi­
                <lb/>
              no B, quàm punctum F,
                <lb/>
              ſed centrum grauitatis fi­
                <lb/>
              guræ ABC quòd eſt F, &
                <lb/>
              figuræ circumſcriptæ, quod
                <lb/>
              eſt K & eius reſidui dem­
                <lb/>
                <figure id="id.043.01.139.1.jpg" xlink:href="043/01/139/1.jpg" number="108"/>
                <lb/>
              pta figura ABC ſunt in communi axe, vel diametro BD;
                <lb/>
              erit igitur dicti reſidui in linea BK, centrum grauitatis,
                <lb/>
              quod ſit H. </s>
              <s>Minor autem proportio eſt prædicti reſidui
                <lb/>
              ad figuram ABC, hoc eſt ipſius FK ad KH, quàm FG
                <lb/>
              ad GB, & multo minor, quàm FG ad GH; & compo­
                <lb/>
              nendo minor proportio FH ad HK, quàm FH ad HG;
                <lb/>
              ergo KH maior erit, quàm GH; reliqua igitur F
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              mi­
                <lb/>
              nor, quàm FG atque adeo longitudine propoſita. </s>
              <s>Fieri
                <lb/>
              ergo poteſt, quod proponebatur. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum