Marci of Kronland, Johannes Marcus, De proportione motus, seu regula sphygmica ad celeritatem et tarditatem pulsuum, 1639

Page concordance

< >
Scan Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
< >
page |< < of 129 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10308">
            <subchap1 id="N10ADC">
              <p id="N10AEF" type="main">
                <s id="N10E26">
                  <pb xlink:href="062/01/029.jpg"/>
                ſit una, lineæ verò obliquæ infinitæ. </s>
                <s id="N10E45">Confirmatur ex
                  <lb/>
                modo agendi reliquorum agentium naturalium, quæ
                  <lb/>
                non niſi per lineas rectas operantur. </s>
              </p>
            </subchap1>
            <subchap1 id="N10E4C">
              <p id="N10E4D" type="main">
                <s id="N10E4F">
                  <emph type="center"/>
                Propoſitio IV.
                  <emph.end type="center"/>
                </s>
              </p>
              <p id="N10E56" type="main">
                <s id="N10E58">
                  <emph type="italics"/>
                Impulſus in quolibet puncto circuli per lineam fit tangentem.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p id="N10E5F" type="main">
                <s id="N10E61">QVia enim motus eſt rectus per pro: 3. talis autem
                  <lb/>
                eſſe non poteſt in circulo, igitur ſi incipiat ab ali­
                  <lb/>
                quo puncto circuli, cadet immediaté poſt illud pun­
                  <lb/>
                ctum extra peripheriam illius circuli: non poteſt au­
                  <lb/>
                tem cadere intra circulum, cadet igitur extra circulum.
                  <lb/>
                Probatur, punctum circuli immediatè ante contactum
                  <lb/>
                verbi gratia
                  <emph type="italics"/>
                a
                  <emph.end type="italics"/>
                impellit
                  <emph type="italics"/>
                o
                  <emph.end type="italics"/>
                ad motum rectum:
                  <expan abbr="punctũ">punctum</expan>
                ergo
                  <lb/>
                immediatè poſt illum contactum erit cum duobus pun
                  <lb/>
                ctis
                  <emph type="italics"/>
                a
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                o
                  <emph.end type="italics"/>
                in lineà rectà, aut certè ad hujus rectitudinem
                  <lb/>
                quam proximè fieri poteſt, accedet: at verò intra peri­
                  <lb/>
                pheriam circuli nullum eſſe poteſt punctum, quod cum
                  <lb/>
                duobus illis punctis
                  <emph type="italics"/>
                a
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                o
                  <emph.end type="italics"/>
                ſit in lineà rectà, aut ad natu­
                  <lb/>
                ram lineæ rectæ quam proximè accedat, verum ad ma­
                  <lb/>
                iorem curuitatem: cùm neceſſariò ſit in peripheria ali­
                  <lb/>
                cujus circuli minoris. </s>
                <s id="N10EA8">Cadat enim, ſi fieri poteſt, intra </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>