Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

Page concordance

< >
Scan Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
< >
page |< < of 241 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/092.jpg" pagenum="78"/>
              diculum cadat vltra ſemiſſem lineæ AB;
                <lb/>
              demptus autem ex gr. 30. ſi cadat citrà ſe­
                <lb/>
              miſſem, dabit angulum diſtantiæ à vertice
                <lb/>
              quæſitum. </s>
              <s>Quod ſi diſtantia à vertice exceſ­
                <lb/>
              ſerit gr. 60 perpendiculum cadet extrà latus
                <lb/>
              BE; idcirco ſuſpendendum èrit ex I puncto,
                <lb/>
              quod bifariam diuidit rectam AE; & ſiqui­
                <lb/>
              dem obiectum in Horizonte fuerit, perpen­
                <lb/>
              diculum ex I cadet in B, ſi verò ſupra Hori­
                <lb/>
              zontem, cadet in latus AB, ſi demum infra
                <lb/>
              lineam Horizonti parallelam depreſſum fue­
                <lb/>
              rit, cadet perpendiculum in latus BE: ſem­
                <lb/>
              per autem in noteſcet angulus factus à perpen­
                <lb/>
              diculo & lineâ FI visûs, dantur enim vel la­
                <lb/>
              tera IA & AB, vel IE & EB cum angulo
                <lb/>
              comprehenſo: vel ſaltem in vtroque latere
                <lb/>
              deſignari poterit punctum, in quod ad rectos
                <lb/>
              angulos cadit linea ex I. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note38"/>
                <emph type="italics"/>
              XXXVIII
                <lb/>
              Vſus Tri­
                <lb/>
              goni æqui­
                <lb/>
              lateri ad
                <lb/>
              obſeruandos
                <lb/>
              angulos, in
                <lb/>
              quo vix er­
                <lb/>
              rari poſsit à
                <lb/>
              Geometra.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Vt verò in quàm minimas particulas di­
                <lb/>
              uiſam haberet rectam AB, iubebam duci
                <lb/>
              AC æqualem vni ex ijs partibus, in quas pri­
                <lb/>
              mò diſtinctam eam poſuimus, nempe iņ
                <lb/>
              vncias pedis, & perfici parallelogrammum
                <lb/>
              ABDC. </s>
              <s>Tum diuisâ AC, & BD in quinque
                <lb/>
              æquales partes, & ductis parallelis ipſi AB,
                <lb/>
              inter poſtremas
                <emph type="italics"/>
              a d
                <emph.end type="italics"/>
              & CD ducatur diagona­
                <lb/>
              li; C
                <emph type="italics"/>
              d
                <emph.end type="italics"/>
              ; & diuiſis pariter ſingulis vncijs iņ
                <lb/>
              quinque partes, vt factum hìc eſt in vnciâ </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>