Valerio, Luca, De centro gravitatis solidorvm libri tres

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/056.jpg" pagenum="48"/>
              bifariam ſecat omnia latera parallelogrammorum inſcri­
                <lb/>
              ptorum baſi AC, parallela; erit in diametro BD, eorum
                <lb/>
              omnium parallelogrammorum centra grauitatis, atque
                <lb/>
              ideo totius figuræ inſcriptæ centrum grauitatis, quod ſit
                <lb/>
              H: & HEK, ducatur. </s>
              <s>Quoniam igitur EF, parallela
                <lb/>
              eſt vtrique DH, CK; erit vt CD, ad DF, ita KH, ad
                <lb/>
              HE, ſed minor eſt proportio CD, ad DF, quàm figu­
                <lb/>
              ræ ABC, ad reſi­
                <lb/>
              duum, dempta figu­
                <lb/>
              ra inſcripta; ergo &
                <lb/>
              KH, ad HE, minor
                <lb/>
              erit proportio, quàm
                <lb/>
              figuræ ABC, ad præ­
                <lb/>
              dictum reſiduum: ha­
                <lb/>
              beat LKH, eandem
                <lb/>
                <expan abbr="proportionẽ">proportionem</expan>
              ad EH,
                <lb/>
              quàm figura ABC,
                <lb/>
              ad prædictum reſi­
                <lb/>
              duum. </s>
              <s>Quoniam
                <lb/>
              igitur punctum K,
                <lb/>
              cadit extra figuram
                <lb/>
                <figure id="id.043.01.056.1.jpg" xlink:href="043/01/056/1.jpg" number="33"/>
                <lb/>
              ABC; multo magis punctum L; non igitur punctum L,
                <lb/>
              erit prædicti reſidui centrum grauitatis. </s>
              <s>Sed punctum
                <lb/>
              H, eſt inſcriptæ figuræ centrum grauitatis: & vt figura
                <lb/>
              inſcripta ad prædictum reſiduum, diuidendo, ita eſt LE,
                <lb/>
              ad EH; non igitur E, eſt centrum grauitatis figuræ ABC:
                <lb/>
              ſed ponitur E, generaliter punctum extra lineam BD;
                <lb/>
              Nullum igitur punctum extra lineam BD, eſt centrum
                <lb/>
              grauitatis figuræ ABC; in linea igitur BD, erit figu­
                <lb/>
              ræ ABC, centrum grauitatis. </s>
              <s>Quod demonſtrandum
                <lb/>
              erat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum