Valerio, Luca, De centro gravitatis solidorum, 1604

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/055.jpg" pagenum="47"/>
              ratione, tam duorum triangulorum ABG, DGE, quàm
                <lb/>
              duorum AFG, CDG, ſimul, centrum grauitatis erit G;
                <lb/>
              totius igitur polygoni ABCDEF; centrum grauitatis
                <lb/>
              erit idem G. </s>
              <s>Manifeſtum eſt igitur propoſitum. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis figuræ circa diametrum in alteram par
                <lb/>
              tem deficientis, in diametro eſt centrum graui­
                <lb/>
              tatis. </s>
            </p>
            <p type="main">
              <s>Sit figura ABC, circa diametrum BD, in alteram par
                <lb/>
              tem deficiens verſus B. </s>
              <s>Dico centrum grauitatis figuræ
                <lb/>
              ABC, eſse in linea BD. ſit enim punctum E, generali­
                <lb/>
              ter extra lineam BD. </s>
              <s>Et per puncta E, C, ducantur ipſi
                <lb/>
              BD, parallelæ EF,
                <lb/>
              CG, & vt eſt CD,
                <lb/>
              ad DF, ita ponatur
                <lb/>
              figura ABC, ad ali­
                <lb/>
              quod ſpacium M: &
                <lb/>
              figuræ ABC, inſcri­
                <lb/>
              batur figura ex paral­
                <lb/>
              lelogrammis æqua­
                <lb/>
              lium altitudinum de­
                <lb/>
              ficiens à figura ABC,
                <lb/>
              minori defectu, quam
                <lb/>
              ſit ſpacium M, quan­
                <lb/>
              tumcumque illud ſit:
                <lb/>
              minor igitur propor­
                <lb/>
                <figure id="id.043.01.055.1.jpg" xlink:href="043/01/055/1.jpg" number="32"/>
                <lb/>
              tio erit figuræ ABC, ad ſpacium M, hoc eſt minor pro­
                <lb/>
              portio CD, ad DF, quàm figuræ ABC, ad ſui reliquum,
                <lb/>
              dempta figura inſcripta. </s>
              <s>Quoniam autem diameter BD, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum