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

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 241 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/075.jpg" pagenum="67"/>
              noné defatigat, ſi maximè res ad minimas
                <lb/>
              Aſtronomicas fractiones deducta exigat par­
                <lb/>
              tis proportionalis inquiſitionem. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Guld.
                <emph.end type="italics"/>
              </s>
              <s> Satis eſt, ſi peritis Geometris hac
                <lb/>
              in re fiat ſatis. </s>
              <s>Verùm adhuc abſque Cano­
                <lb/>
                <arrow.to.target n="note33"/>
                <lb/>
              ne Trigonometrico res tota perfici poſſet,
                <lb/>
              ſed non ſine Algebrâ. </s>
              <s>Habeatur enim qua­
                <lb/>
              dratum Geometricum
                <emph type="italics"/>
              S
                <emph.end type="italics"/>
              H;
                <lb/>
              vel etiam ſit rectangulum,
                <lb/>
                <figure id="id.018.01.075.1.jpg" xlink:href="018/01/075/1.jpg" number="18"/>
                <lb/>
              cuius latus AS maius ſit late­
                <lb/>
              re AH, id quod aliquando
                <lb/>
              commodius accidet. </s>
              <s>Obuer­
                <lb/>
              tatur latus AH ita, vt con­
                <lb/>
              gruat radio optico terram̨
                <lb/>
              tangenti AD, in ſuperiorę
                <lb/>
              figurâ: eritque triangulum
                <lb/>
              ABE ſimile triangulo OAS: Nam anguli
                <lb/>
              SAH & BEA ſunt recti, ac proinde lineæ
                <lb/>
              SA, BE parallelæ, intrà quas anguli alterni
                <lb/>
              SAO, EBA ſunt æquales; ſicut & alterni
                <lb/>
              EAB, SOA, intra parallelas SO, AE. </s>
              <s>Igi­
                <lb/>
              tur vt OA ad AS, ita AB ad BE: ſed vt AB
                <lb/>
              ad BE, ita in ſuperiore figurâ AC ad CD;
                <lb/>
              ergo vt OA ad AS, ita AC ad CD. </s>
              <s>Quare
                <lb/>
              ſi latus AS Quadrati vel rectanguli notum ſit
                <lb/>
              in particulis quibuslibet, facilè innoteſcet,
                <lb/>
              quot huiuſmodi particulas contineat AO. </s>
              <s>
                <lb/>
              Cum verò altitudo AB nota ſit ex. gr. ped. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum