Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/337.jpg" pagenum="317"/>
              [
                <emph type="italics"/>
              as in Fig.
                <emph.end type="italics"/>
              5.] and the Axis, as before A C, by which the plane
                <lb/>
              of our Meridian would paſſe, in which plane ſhould alſo be the
                <lb/>
              Axis of the Suns revolution, with its Poles, one towards us, that
                <lb/>
              is, in the apparent Hemiſphere, which Pole we will repreſent by
                <lb/>
              the point E, and the other ſhall fall in the occult Hemiſphere,
                <lb/>
              and I mark it I. </s>
              <s>Inclining therefore the Axis E I, with the
                <lb/>
              riour part E, towards us, the great circle deſcribed by the Suns
                <lb/>
              converſion, ſhall be this B F D G, whoſe half by us ſeen,
                <lb/>
              ly B F D, ſhall no longer ſeem unto us a right line, by reaſon the
                <lb/>
              Poles E I are not in the circumference A B C D, but ſhall appear
                <lb/>
              incurvated, and with its convexity towards the inferiour part C.
                <lb/>
              </s>
              <s>And it is manifeſt, that the ſame will appear in all the leſſer
                <lb/>
              cles parallel to the ſame B F D. </s>
              <s>It is to be underſtood alſo, that
                <lb/>
              when the Earth ſhall be diametrically oppoſite to this ſtate, ſo
                <lb/>
              that it ſeeth the other Hemiſphere of the Sun, which now is hid,
                <lb/>
              it ſhall of the ſaid great circle behold the part D G B incurved,
                <lb/>
              with its convexity towards the ſuperiour part A; and the
                <lb/>
              ſes of the ſpots in theſe conſtitutions ſhall be firſt, by the arch
                <lb/>
              B F D, and afterwards by the other D G B, and the firſt
                <lb/>
              tions and ultimate occultations made about the points B and D,
                <lb/>
              ſhall be equilibrated, and not thoſe that are more or leſſe
                <lb/>
              ted than theſe. </s>
              <s>But if we conſtitute the Earth in ſuch a place
                <lb/>
              of the Ecliptick, that neither the boundary A B C D, nor the
                <lb/>
              Meridian A C, paſſeth by the Poles of the Axis E I, as I will ſhew
                <lb/>
              you anon, drawing this other Figure [
                <emph type="italics"/>
              viz. </s>
              <s>Fig.
                <emph.end type="italics"/>
              6.] wherein the
                <lb/>
              apparent or viſible Pole E falleth between the arch of the
                <lb/>
              nator A B, and the ſection of the Meridian A C; the diameter
                <lb/>
              of the great circle ſhall be F O G, and the apparent ſemicircle
                <lb/>
              F N G, and the occult ſemicircle G S F, the one incurvated with
                <lb/>
              its convexity N towards the inferiour part, and the other alſo
                <lb/>
              bending with its convexity S towards the upper part of the Sun.
                <lb/>
              </s>
              <s>The ingreſſions and exitions of the ſpots, that is, the termes F
                <lb/>
              and G ſhall not be librated, as the two others B and D; but F
                <lb/>
              ſhall be lower, and G higher: but yet with leſſer difference
                <lb/>
              than in the firſt Figure. </s>
              <s>The arch alſo F N G ſhall be
                <lb/>
              ted, but not ſo much as the precedent B F D; ſo that in this
                <lb/>
              ſition the paſſages or motions of the ſpots ſhall be aſcendent
                <lb/>
              from the left ſide F, towards the right G, and ſhall be made by
                <lb/>
              curved lines. </s>
              <s>And imagining the Earth to be conſtituted in the
                <lb/>
              poſition diametrically oppoſite; ſo that the Hemiſphere of the
                <lb/>
              Sun, which was before the occult, may be the apparent, and
                <lb/>
              minated by the ſame boundary A B C D, it will be manifeſtly
                <lb/>
              diſcerned, that the courſe of the ſpots ſhall be by the arch G S F,
                <lb/>
              beginning from the upper point G, which ſhall then be likewiſe
                <lb/>
              from the left hand of the beholder, and going to determine, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>