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="043/01/048.jpg" pagenum="40"/>
              guli, ſed aliqua earum, quæ ab angulis ad bipartitorum
                <lb/>
              laterum ſectiones cadunt, neceſse eſt in altero triangulo
                <lb/>
              tria puncta prædicto puncto eſse ſimiliter poſita? </s>
              <s>quod ſi
                <lb/>
              etiam extra iſtas lineas cadat vnius trianguli punctum, ne­
                <lb/>
              ceſse eſt illi ſex puncta in altero triangulo eſse ſimiliter po­
                <lb/>
              ſita: ſed ſi quod diximus de iſoſceliis ſimilibus, & æquila­
                <lb/>
              teris triangulis demonſtrauerimus, rem velut ante oculos
                <lb/>
              expoſuerimus. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Datis duobustriangulis iſoſcelijs ſimilibus, &
                <lb/>
              in altero eorum dato puncto extra rectam, quæ à
                <lb/>
              vertice ad medium baſis cadit, duo puncta in re­
                <lb/>
              liquo triangulo prædicto puncto ſimiliter poſita
                <lb/>
              inuenire. </s>
            </p>
            <p type="main">
              <s>Sint duo triangula iſoſcelia, & ſimilia ABC, DEF:
                <lb/>
              quorum in altero ABC, à vertice A, ad baſim BC, bi­
                <lb/>
              partitam in puncto G, cadat recta AG: atque extra hanc
                <lb/>
                <figure id="id.043.01.048.1.jpg" xlink:href="043/01/048/1.jpg" number="28"/>
                <lb/>
              in triangulo ABC, ſit quoduis punctum H: & iuncta AH,
                <lb/>
              fiat angulus EDK æqualis angulo BAH; & vt BA, ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>