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

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 145 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="063/01/109.jpg"/>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA II.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Si duo Orbiculi ſimul iuncti & æquales percutiant alium maiorem,
                <lb/>
              duobus autem illis ſimul ſumptis æqualem; orbiculo ſuperiori reflexo,
                <lb/>
              motum continuat baſis.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Difficultas hic eſt, quòd cùm orbiculus ſolidus percutit ali­
                <lb/>
              um ſibi æqualem, illo moto quieſcit: cur igitur non idem fit,
                <lb/>
              cùm duo ſimul iuncti,
                <expan abbr="atq;">atque</expan>
              eidem æquales hunc percutiunt, ve.
                <lb/>
              rùm
                <expan abbr="uterq;">uterque</expan>
              inæqualiter movetur ex illâ plagâ? Nam eodem
                <lb/>
              impulſu agi videntur: neceſſe ergo eandem inferre plagam:
                <lb/>
              Et cùm gravitas orbiculi maioris ſit dupla, & impulſum reci­
                <lb/>
              piat duplum illius, quo ſinguli moventur; erit
                <expan abbr="quoq;">quoque</expan>
              eadem ve­
                <lb/>
              locitas motûs. </s>
              <s>At verò ſi baſis ſequitur motum maioris; ne­
                <lb/>
              ceſſe huius motum eſſe velociorem quàm baſis motum: quæ
                <lb/>
              ab incipiente & necdum perfectâ plagâ movetur. </s>
              <s>Et ſi refle­
                <lb/>
              ctit alter orbiculus: quia peractâ huius plagâ necdum incipit
                <lb/>
              moveri maior; velocitatem habebit minorem. </s>
              <s>Pro ſolutione
                <lb/>
              dico, impulſum in
                <expan abbr="utroq;">utroque</expan>
              orbiculo eſſe æqualem. </s>
              <lb/>
              <s>Secundô inæqualiter moveri,
                <expan abbr="magisq;">magisque</expan>
              impediri motum baſis
                <lb/>
              per 1 Theor: huius; & cùm impulſum determinet motus; ma
                <lb/>
              iori tempore plagam perficiet baſis. </s>
              <s>Cùm ergò maior orbi­
                <lb/>
              culus gravitatem habeat duplam; ad illam velocitatem mo­
                <lb/>
              tûs, non niſi ab impulſu duplo perducitur: perfectâ autem pla­
                <lb/>
              gâ unius orbiculi, necdum percuſſit alter:
                <expan abbr="neq;">neque</expan>
              igitur ex illâ
                <lb/>
              plagâ ſe abducit orbiculus maior: ac proinde orbiculus, qui
                <lb/>
              iam percuſſit, reflectit. </s>
              <s>Et quia minor eſt velocitas motûs
                <lb/>
              baſis, velociùs movebitur ab
                <expan abbr="utraq;">utraque</expan>
              plagâ. igitur ad illam ve­
                <lb/>
              locitatem, quâ movetur baſis, ab incipiente & necdum perfe­
                <lb/>
              ctâ huius plagâ perducetur: ac proinde reliquus impulſus mo­
                <lb/>
              tum continuabit. </s>
              <s>Idem autem fit, ſi alter orbiculus ſit paulo </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>