Varro, Michael, De motv tractatvs

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 64 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="044/01/028.jpg" pagenum="20"/>
              ergo per quartam concluſionem earum reſiſtentiæ
                <lb/>
              æquales erunt, ergo per decimam concluſionem
                <expan abbr="nõ">non</expan>
                <lb/>
              fiet motus. </s>
              <s>Si verò ſunt inæquales, cùm earum mo­
                <lb/>
              tus ex hypotheſi ſint
                <foreign lang="grc">ἀντιπεπονθῶς</foreign>
              proportionales per
                <lb/>
              ſeptimam concluſionem æquales erunt etiam reſi­
                <lb/>
              ſtentiæ. </s>
              <s>Ergo nec motus fiet: nullo igitur modo fiet
                <lb/>
              earum motus. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>THEOREMA II.</s>
            </p>
            <p type="main">
              <s>Quarum verò ita connexarum (ſi
                <expan abbr="moueãtur">moueantur</expan>
              ) mo
                <lb/>
              tus, ipſis proportionales non erunt: illa alteram mo­
                <lb/>
              uebit, cuius ad alteram ratio maior erit, quàm huius
                <lb/>
              motus ad illius motum. </s>
            </p>
            <p type="main">
              <s>Sit vis A cum vi B commiſſa, ſitque A ad B ratio
                <lb/>
              per ſe, vt C ad D: ita verò connexæ ſint, vt ſi mouean­
                <lb/>
              tur, minor ſit ratio motus quo B mouebitur ad mo­
                <lb/>
              tum, quo A mouebitur, quum C ad D dico A motu­
                <lb/>
              ram B: erit enim per octauam concluſionem reſi­
                <lb/>
              ſtentia B minor reſiſtentia A: ergo per nonam con­
                <lb/>
              cluſionem reſiſtentia B minor vi A: vis igitur A vim
                <lb/>
              B mouebit per vndecimam concluſionem. </s>
              <s>Quod
                <lb/>
              demonſtrandum erat. </s>
            </p>
            <p type="main">
              <s>Hinc poſſemus ad problematis noſtri demon­
                <lb/>
              ſtrationem rectà pergere: ante tamen craſſiùs ali­
                <lb/>
              quanto hæc explicanda ſunt, vt à quouis faciliùs in­
                <lb/>
              telligantur. </s>
              <s>Duæ ſunt motus menſuræ, locus ſcilicet
                <lb/>
              & tempus: vtroque igitur, tempore videlicet & loco </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum