Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

Table of figures

< >
[Figure 31]
Page: 447
[Figure 32]
Page: 447
[Figure 33]
Page: 447
[Figure 34]
Page: 589
[Figure 35]
Page: 592
[Figure 36]
Page: 593
[Figure 37]
Page: 594
[Figure 38]
Page: 602
[Figure 39]
Page: 606
[Figure 40]
Page: 607
[Figure 41]
Page: 608
[Figure 42]
Page: 610
[Figure 43]
Page: 611
[Figure 44]
Page: 612
[Figure 45]
Page: 614
[Figure 46]
Page: 617
[Figure 47]
Page: 620
[Figure 48]
Page: 625
[Figure 49]
Page: 628
[Figure 50]
Page: 659
[Figure 51]
Page: 662
[Figure 52]
Page: 698
[Figure 53]
Page: 700
[Figure 54]
Page: 701
[Figure 55]
Page: 704
[Figure 56]
Page: 710
[Figure 57]
Page: 715
[Figure 58]
Page: 723
[Figure 59]
Page: 729
[Figure 60]
Page: 733
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/710.jpg" pagenum="18"/>
              and let one Side of the greater A B be prolonged indeterminately
                <lb/>
              towards S, and of the leſſe the correſpondent Side H I is to be
                <lb/>
              produced in like manner towards the ſame part, repreſenting the
                <lb/>
              Line H T, parallel to A S; and let another paſſe by the Center
                <lb/>
              equidiſtant from the former, namely G V. </s>
              <s>This done, we ſuppoſe
                <lb/>
              the greater Poligon to turn about upon the Line A S, carrying
                <lb/>
              with it the other leſſer Poligon. </s>
              <s>It is manifeſt, that the point B,
                <lb/>
              the term of the Side A B, ſtanding ſtill, whilſt the Revolution
                <lb/>
              begins, the angle A riſeth, and the point C deſcendeth, deſcribing
                <lb/>
              the arch C
                <expan abbr="q;">que</expan>
              ſo that the Side B C is applyed to the line B Q,
                <lb/>
              equal to it ſelf: but in ſuch converſion the angle I of the leſſer
                <lb/>
              Poligon riſeth above the Line I T. for that I B is oblique upon
                <lb/>
              A S: nor will the point I fall upon the parallel I T, before the
                <lb/>
              point C come to Q: and by that time I ſhall be deſcended unto
                <lb/>
              O after it had deſcribed the Arch I O, without the Line H T: and
                <lb/>
              at the ſame time the Side I K ſhall have paſs'd to O P. </s>
              <s>But the Cen­
                <lb/>
              ter G ſhall have gone all this time out of the Line G V, on which it
                <lb/>
              ſhal not fall, until it ſhall firſt have deſcribed the Arch G C. </s>
              <s>Having
                <lb/>
              made this firſt ſtep, the greater Poligon ſhall be tranſpoſed to reſt
                <lb/>
              with the Side B C upon the Line B
                <expan abbr="q;">que</expan>
              the Side I K of the leſſer
                <lb/>
              upon the Line O P, having skipt all the Line I O without touching
                <lb/>
                <figure id="id.040.01.710.1.jpg" xlink:href="040/01/710/1.jpg" number="56"/>
                <lb/>
              it; and the Center G ſhall be removed to C, making its whole
                <lb/>
              courſe without the Parallel G V: And in fine all the Figure ſhall
                <lb/>
              be remitted into a Poſition like the firſt; ſo that the Revolution
                <lb/>
              being continued, and coming to the ſecond ſtep, the Side of the
                <lb/>
              greater Poligon D C ſhall remove to Q X; K L of the leſſer (ha­
                <lb/>
              ving firſt skipt the Arch P Y) ſhall fall upon Y Z, and the Center
                <lb/>
              proceeding evermore without G V ſhall fall on it in R, after the
                <lb/>
              great skip C R. </s>
              <s>And in the laſt place, having finiſhed an entire
                <lb/>
              Converſion, the greater Poligon will have impreſſed upon A S, ſix </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum