Valerio, Luca, De centro gravitatis solidorvm libri tres

Page concordance

< >
Scan Original
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/172.jpg" pagenum="85"/>
              punctum O; eſt autem O, fruſti EGHF centrum graui­
                <lb/>
              tatis. </s>
              <s>Si igitur conus, & conoides parabolicum circa eun­
                <lb/>
              dem axim, &c. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XLV.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis fruſti conoidis hyperbolici centrum
                <lb/>
              grauitatis eſt in axe primum ſecto ſecundum cen­
                <lb/>
              trum grauitatis cuiuſuis fruſti conici circa axem
                <lb/>
              conoidis communi vertice, abſciſſi vnà cum fru­
                <lb/>
              ſto conoidis: deinde ita vt pars minorem baſim
                <lb/>
              attingens ſit ad reliquam, vt dupla axis conoidis
                <lb/>
              vna cum reliqua dempto axe fruſti, ad duplam
                <lb/>
              eiuſdem reliquæ vna cum axe conoidis: dein­
                <lb/>
              de poſitis quatuor rectis lineis binis propor­
                <lb/>
              tionalibus, potentia primis, ſecundis longitu­
                <lb/>
              dine, in proportione, quæ eſt inter axem conoi­
                <lb/>
              dis, & reliquam dempto axe fruſti; ita vt ma­
                <lb/>
              ior primarum ſit media proportionalis inter axem
                <lb/>
              conoidis, & tranſuerſum latus hyperboles, quæ fi­
                <lb/>
              guram deſcribit, minoris autem potentia ſeſqui­
                <lb/>
              altera minor ſecundarum; in eo puncto, in quo
                <lb/>
              ſegmentum axis fruſti dictis duabus ſectionibus
                <lb/>
              terminatum ſic diuiditur, vt pars minori baſi pro­
                <lb/>
              pinquior ſit ad reliquam vt cubus, qui fit ab axe
                <lb/>
              fruſti vnà cum ſolido rectangulo, quod axe co­
                <lb/>
              noidis, & reliqua dempto axe fruſti, & tripla
                <lb/>
              axis conoidis continetur, ad ſolidum rectangu­
                <lb/>
              lum ex eadem reliqua parte conoidis, & eo, quo </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum