Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

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 145 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/055.jpg"/>
              lus A habens eundem impulſum, percutiat eundem circulum
                <lb/>
              B contiguum quadrato C. aut igitur moto C circulus B quie­
                <lb/>
              ſcet, aut illius motum conſequetur. </s>
              <s>Et ſi quidem quieſcet, erit
                <lb/>
              per 3. Axioma grauitas in C, ac proinde per 1. Axioma huius
                <lb/>
                <arrow.to.target n="fig15"/>
                <lb/>
              area æqualis circulo B. </s>
              <s>Quòd ſi verò ad illius motum move­
                <lb/>
              tur; erit quadratum C per idem Axioma minus circulo B. </s>
              <lb/>
              <s>Moveatur
                <expan abbr="itaq;">itaque</expan>
              B ex illâ plagâ per ſpatium ML: & quadratum
                <lb/>
              C per ſpatium HI. </s>
              <s>Supponamus verò HI æquale DE, & du­
                <lb/>
              plum ſpatij ML. </s>
              <s>Cùm
                <expan abbr="itaq;">itaque</expan>
              pro menſurâ plagæ minuatur im­
                <lb/>
              pulſus, ex demonſtratis ad propoſ. 31. & motus eandem ratio­
                <lb/>
              nem habeant, quam impulſus, per poſit: 4. ſit autem motus in
                <lb/>
              DE ad motum in ML duplus; erit
                <expan abbr="quoq;">quoque</expan>
              impulſus in A ad reli­
                <lb/>
              quum impulſum in B, ac proinde ad impulſum in C duplus. </s>
              <lb/>
              <s>Quia verò quadratum C movetur ab æquali impulſu per ſpa­
                <lb/>
              tium HI duplum ſpatij ML, erit
                <expan abbr="quoq;">quoque</expan>
              circulus B duplus qua­
                <lb/>
              drati C. </s>
              <s>Quòd ſi enim ſemiſſem circuli moveat idem impul­
                <lb/>
              ſus, quia tum per Corollarium 2. theorematis 1. impulſum ha­
                <lb/>
              bet duplum, movebit per poſit. 4. ad intervallum duplum. hoc </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>