Varro, Michael, De motv tractatvs

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
< >
page |< < of 64 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="044/01/046.jpg" pagenum="38"/>
                <figure id="id.044.01.046.1.jpg" xlink:href="044/01/046/1.jpg" number="6"/>
                <lb/>
              tia triangulus ABC, cuius angulus B
                <lb/>
              rectus ſit, latus verò illum ſubtendens
                <lb/>
              ſit AC, incumbátque vis D lateri AB,
                <lb/>
              vis verò E lateri AC, ſitque vis D nutus
                <lb/>
              linea BC, vis verò E nutus ſit linea AB, erigatúrque à
                <lb/>
              puncto C linea CF
                <expan abbr="perpẽdicularis">perpendicularis</expan>
              ad BC æqualis AB,
                <lb/>
              à qua vis E
                <expan abbr="nõ">non</expan>
              diſcedat. </s>
              <s>Si triangulum illud in plano
                <lb/>
              fixo moueatur, donec AB perueniat ad CF, mota e­
                <lb/>
              rit vis D nutu ſuo tantùm, quanta eſt linea BC, vis ve­
                <lb/>
              rò E tantum, quanta eſt linea AB. </s>
              <s>Cùm autem poſſit
                <lb/>
              in infinitum augeri & minui, laterum illorum pro­
                <lb/>
              portio, poſſunt etiam duorum illorum
                <expan abbr="extremorũ">extremorum</expan>
                <lb/>
              motus in data ratione conſtitui. </s>
              <s>Quanta enim erit
                <lb/>
              BC ad AB, tantus erit motus vis D ad motum vis E:
                <lb/>
              ergo & in hoc medio primum lemma noſtrum de­
                <lb/>
              monſtratum eſt. </s>
            </p>
            <p type="main">
              <s>In hoc autem medij genere hoc diuerſum ab
                <lb/>
              aliis mediis accidit, quòd non tam facilè vtrin­
                <lb/>
              que motus eo cietur, ac in illis, in quibus ſi virium
                <lb/>
              proportio momento vel ſuperet, vel minor ſit pro­
                <lb/>
              portione motus
                <expan abbr="extremorũ">extremorum</expan>
              medij, tum motus hinc
                <lb/>
              vel inde cietur. </s>
              <s>Atqui in hoc propter ſuperficie­
                <lb/>
              rum contactum, quarum pori vel aſperitates ſe­
                <lb/>
              ſe mutuò ſubingrediuntur, & ita inuicem adhæ­
                <lb/>
              rent, fit vt ægriùs cieatur motus, faciliùs ve- </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum