Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Page concordance

< >
Scan Original
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000962">
                <pb pagenum="188" xlink:href="010/01/196.jpg"/>
                <arrow.to.target n="marg241"/>
                <lb/>
              eiuſdem AC ſit vt XS ad V. igitur duæ antecedentes
                <lb/>
              RX, & XS ad V, ſcilicet RS ad V eamdem propor­
                <lb/>
              tionem habebit quam raritas ſpecifica aggregati ex
                <lb/>
              EF, & FG ad raritatem AC, ſuntquè moles EH, &
                <lb/>
              AC æquales, ergo eorum raritates abſolutæ ſunt pro­
                <lb/>
              portionales ſpecificis, ſcilicèt ſe habent vt RS ad V.
                <lb/>
              quod erat, &c. </s>
            </p>
            <p type="margin">
              <s id="s.000963">
                <margin.target id="marg241"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000964">
                <emph type="center"/>
              PROP. XCII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000965">
                <emph type="center"/>
                <emph type="italics"/>
              Cylindrum compoſitum ex duobus cylindris inæqualitèr ra­
                <lb/>
              ris transformare in cylindrum ſimilitèr excauatum,
                <lb/>
              cuius pars continens homogenea, & æqualis ſit.
                <lb/>
              </s>
              <s id="s.000966">vni illorum, pars verò excauata homo­
                <lb/>
              genea, & æqualis ſit reliquo.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000967">SIt datus cylindrus ſoli­
                <lb/>
                <figure id="id.010.01.196.1.jpg" xlink:href="010/01/196/1.jpg" number="73"/>
                <lb/>
              dus AC, compoſitus ex
                <lb/>
              duobus cylindris AD, & DB
                <lb/>
              inæqualitèr raris alium cy­
                <lb/>
              lindrum ſimilitèr
                <expan abbr="excauatũ">excauatum</expan>
                <lb/>
              æqualem, & ſimilem illi de­
                <lb/>
              ſcribere, cuius pars continens æqualis, & homoge­
                <lb/>
              nea ſit ipſi AD, contenta verò æqualis, & homoge­
                <lb/>
              nea ſit ipſi DB. reperto centro
                <expan abbr="q.">que</expan>
              cylindricæ figuræ
                <lb/>
              AC coniungantur rectæ AQ, BQ ad terminos lateris
                <lb/>
              cylindri AB, & fiat triangulum ENF ſimile, & æqua­
                <lb/>
              le ipſi AQB. poſtea inter AB, & MB reperiantur duæ
                <lb/>
              mediæ proportionales, quarum maior ſit PB (vt do­
                <lb/>
              cuimus lib. 5. conic. </s>
              <s id="s.000968">Apoll.lemm. 7.) deinde in
                <expan abbr="triã-">trian-</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>