Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/483.jpg" pagenum="455"/>
                  inventa inſuper longitudine
                    <emph type="italics"/>
                  MP
                    <emph.end type="italics"/>
                  ; in
                    <emph type="italics"/>
                  tB
                    <emph.end type="italics"/>
                  capiatur punctum
                    <emph type="italics"/>
                  b,
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <arrow.to.target n="note484"/>
                  ea lege, ut ſi
                    <emph type="italics"/>
                  TA,
                    <foreign lang="grc">τ</foreign>
                  C
                    <emph.end type="italics"/>
                  ſe mutuo ſecuerint in
                    <emph type="italics"/>
                  Y,
                    <emph.end type="italics"/>
                  ſit diſtantia
                    <emph type="italics"/>
                  Yb
                    <emph.end type="italics"/>
                    <lb/>
                  ad diſtantiam
                    <emph type="italics"/>
                  YB,
                    <emph.end type="italics"/>
                  in ratione compoſita ex ratione
                    <emph type="italics"/>
                  MP
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  MN
                    <emph.end type="italics"/>
                    <lb/>
                  & ratione ſubduplicata
                    <emph type="italics"/>
                  SB
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Sb.
                    <emph.end type="italics"/>
                  Et eadem methodo inveNI­
                    <lb/>
                  endum erit punctum tertium
                    <foreign lang="grc">β</foreign>
                  , ſi modo operationem tertio repe­
                    <lb/>
                  tere lubet. </s>
                  <s>Sed hac methodo operationes duæ ut plurimum ſuf­
                    <lb/>
                  fecerint. </s>
                  <s>Nam ſi diſtantia
                    <emph type="italics"/>
                  Bb
                    <emph.end type="italics"/>
                  perexigua obvenerit; poſtquam
                    <lb/>
                  inventa ſunt puncta
                    <emph type="italics"/>
                  F, f
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  G, g,
                    <emph.end type="italics"/>
                  actæ rectæ
                    <emph type="italics"/>
                  Ff
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  Gg
                    <emph.end type="italics"/>
                  ſecabunt
                    <lb/>
                    <emph type="italics"/>
                  TA
                    <emph.end type="italics"/>
                  &
                    <foreign lang="grc">τ</foreign>
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  in punctis quæſitis
                    <emph type="italics"/>
                  X
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  Z.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note484"/>
                  LIBER
                    <lb/>
                  TERTIUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Exemplum.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Proponatur Cometa anni 1680. Hujus motum a
                    <emph type="italics"/>
                  Flamſtedio
                    <emph.end type="italics"/>
                    <lb/>
                  obſervatum Tabula ſequens exhibet.
                    <lb/>
                    <arrow.to.target n="table9"/>
                  </s>
                </p>
                <table>
                  <table.target id="table9"/>
                  <row>
                    <cell/>
                    <cell/>
                    <cell>Tem.appar.</cell>
                    <cell>Temp. verum</cell>
                    <cell>Long. Solis</cell>
                    <cell>Long. Cometæ</cell>
                    <cell>Lat. Cometæ</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell/>
                    <cell>h.</cell>
                    <cell>′</cell>
                    <cell>h.</cell>
                    <cell>′</cell>
                    <cell>″</cell>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>″</cell>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>″</cell>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>″</cell>
                  </row>
                  <row>
                    <cell>1680
                      <emph type="italics"/>
                    Dec.
                      <emph.end type="italics"/>
                    </cell>
                    <cell>12</cell>
                    <cell>4.</cell>
                    <cell>46</cell>
                    <cell>4.</cell>
                    <cell>46.</cell>
                    <cell>0</cell>
                    <cell> 1.</cell>
                    <cell>51.</cell>
                    <cell>23</cell>
                    <cell> 6.</cell>
                    <cell>31.</cell>
                    <cell>21</cell>
                    <cell>8.</cell>
                    <cell>26.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>21</cell>
                    <cell>6.</cell>
                    <cell>32 1/2</cell>
                    <cell>6.</cell>
                    <cell>36.</cell>
                    <cell>59</cell>
                    <cell>11.</cell>
                    <cell>6.</cell>
                    <cell>44</cell>
                    <cell> 5.</cell>
                    <cell>7.</cell>
                    <cell>38</cell>
                    <cell>21.</cell>
                    <cell>45.</cell>
                    <cell>30</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>24</cell>
                    <cell>6.</cell>
                    <cell>12</cell>
                    <cell>6.</cell>
                    <cell>17.</cell>
                    <cell>52</cell>
                    <cell>14.</cell>
                    <cell>9.</cell>
                    <cell>26</cell>
                    <cell>18.</cell>
                    <cell>49.</cell>
                    <cell>10</cell>
                    <cell>25.</cell>
                    <cell>23.</cell>
                    <cell>24</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>26</cell>
                    <cell>5.</cell>
                    <cell>14</cell>
                    <cell>5.</cell>
                    <cell>20.</cell>
                    <cell>44</cell>
                    <cell>16.</cell>
                    <cell>9.</cell>
                    <cell>22</cell>
                    <cell>28.</cell>
                    <cell>24.</cell>
                    <cell>6</cell>
                    <cell>27.</cell>
                    <cell>0.</cell>
                    <cell>57</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>29</cell>
                    <cell>7.</cell>
                    <cell>55</cell>
                    <cell>8.</cell>
                    <cell>3.</cell>
                    <cell>2</cell>
                    <cell>19.</cell>
                    <cell>19.</cell>
                    <cell>43</cell>
                    <cell> 13.</cell>
                    <cell>11.</cell>
                    <cell>45</cell>
                    <cell>28.</cell>
                    <cell>10.</cell>
                    <cell>5</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>30</cell>
                    <cell>8.</cell>
                    <cell>2</cell>
                    <cell>8.</cell>
                    <cell>10.</cell>
                    <cell>26</cell>
                    <cell>20.</cell>
                    <cell>21.</cell>
                    <cell>9</cell>
                    <cell>17.</cell>
                    <cell>39.</cell>
                    <cell>5</cell>
                    <cell>28.</cell>
                    <cell>11.</cell>
                    <cell>12</cell>
                  </row>
                  <row>
                    <cell>1681
                      <emph type="italics"/>
                    Jan.
                      <emph.end type="italics"/>
                    </cell>
                    <cell>5</cell>
                    <cell>5.</cell>
                    <cell>51</cell>
                    <cell>6.</cell>
                    <cell>1.</cell>
                    <cell>38</cell>
                    <cell>26.</cell>
                    <cell>22.</cell>
                    <cell>18</cell>
                    <cell> 8.</cell>
                    <cell>49.</cell>
                    <cell>10</cell>
                    <cell>26.</cell>
                    <cell>15.</cell>
                    <cell>26</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>9</cell>
                    <cell>6.</cell>
                    <cell>49</cell>
                    <cell>7.</cell>
                    <cell>0.</cell>
                    <cell>53</cell>
                    <cell> 0.</cell>
                    <cell>29.</cell>
                    <cell>2</cell>
                    <cell>18.</cell>
                    <cell>43.</cell>
                    <cell>18</cell>
                    <cell>24.</cell>
                    <cell>12.</cell>
                    <cell>42</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>10</cell>
                    <cell>5.</cell>
                    <cell>54</cell>
                    <cell>6.</cell>
                    <cell>6.</cell>
                    <cell>10</cell>
                    <cell>1.</cell>
                    <cell>27.</cell>
                    <cell>43</cell>
                    <cell>20.</cell>
                    <cell>40.</cell>
                    <cell>57</cell>
                    <cell>23.</cell>
                    <cell>44.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>13</cell>
                    <cell>6.</cell>
                    <cell>56</cell>
                    <cell>7.</cell>
                    <cell>8.</cell>
                    <cell>55</cell>
                    <cell>4.</cell>
                    <cell>33.</cell>
                    <cell>20</cell>
                    <cell>25.</cell>
                    <cell>59.</cell>
                    <cell>34</cell>
                    <cell>22.</cell>
                    <cell>17.</cell>
                    <cell>36</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>25</cell>
                    <cell>7.</cell>
                    <cell>44</cell>
                    <cell>7.</cell>
                    <cell>58.</cell>
                    <cell>42</cell>
                    <cell>16.</cell>
                    <cell>45.</cell>
                    <cell>36</cell>
                    <cell> 9.</cell>
                    <cell>35.</cell>
                    <cell>48</cell>
                    <cell>17.</cell>
                    <cell>56.</cell>
                    <cell>54</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>30</cell>
                    <cell>8.</cell>
                    <cell>7</cell>
                    <cell>8.</cell>
                    <cell>21.</cell>
                    <cell>53</cell>
                    <cell>21.</cell>
                    <cell>40.</cell>
                    <cell>58</cell>
                    <cell>13.</cell>
                    <cell>19.</cell>
                    <cell>36</cell>
                    <cell>16.</cell>
                    <cell>40.</cell>
                    <cell>57</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Feb.
                      <emph.end type="italics"/>
                    </cell>
                    <cell>2</cell>
                    <cell>6.</cell>
                    <cell>20</cell>
                    <cell>6.</cell>
                    <cell>34.</cell>
                    <cell>51</cell>
                    <cell>24.</cell>
                    <cell>46.</cell>
                    <cell>59</cell>
                    <cell>15.</cell>
                    <cell>13.</cell>
                    <cell>48</cell>
                    <cell>16.</cell>
                    <cell>2.</cell>
                    <cell>2</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>5</cell>
                    <cell>6.</cell>
                    <cell>50</cell>
                    <cell>7.</cell>
                    <cell>4.</cell>
                    <cell>41</cell>
                    <cell>27.</cell>
                    <cell>49.</cell>
                    <cell>51</cell>
                    <cell>16.</cell>
                    <cell>59.</cell>
                    <cell>52</cell>
                    <cell>15.</cell>
                    <cell>27.</cell>
                    <cell>23</cell>
                  </row>
                </table>
                <p type="main">
                  <s>His adde Obſervationes quaſdam e noſtris.
                    <lb/>
                    <arrow.to.target n="table10"/>
                  </s>
                </p>
                <table>
                  <table.target id="table10"/>
                  <row>
                    <cell/>
                    <cell/>
                    <cell>Temp. appar.</cell>
                    <cell>Cometæ Longit.</cell>
                    <cell>Com. Lat.</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Febr.
                      <emph.end type="italics"/>
                    </cell>
                    <cell>25</cell>
                    <cell>8
                      <emph type="sup"/>
                    h
                      <emph.end type="sup"/>
                    .</cell>
                    <cell>30′</cell>
                    <cell> 26
                      <emph type="sup"/>
                    gr.
                      <emph.end type="sup"/>
                    .</cell>
                    <cell>18′.</cell>
                    <cell>17″</cell>
                    <cell>12
                      <emph type="sup"/>
                    gr.
                      <emph.end type="sup"/>
                    .</cell>
                    <cell>46′ 7/8</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>27</cell>
                    <cell>8.</cell>
                    <cell>15</cell>
                    <cell>27.</cell>
                    <cell>4.</cell>
                    <cell>24</cell>
                    <cell>12.</cell>
                    <cell>36 1/5</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Mart.
                      <emph.end type="italics"/>
                    </cell>
                    <cell>1</cell>
                    <cell>11.</cell>
                    <cell>0</cell>
                    <cell>27.</cell>
                    <cell>53.</cell>
                    <cell>6</cell>
                    <cell>12.</cell>
                    <cell>24 6/7</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>2</cell>
                    <cell>8.</cell>
                    <cell>0</cell>
                    <cell>28.</cell>
                    <cell>12.</cell>
                    <cell>27</cell>
                    <cell>12.</cell>
                    <cell>20</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>5</cell>
                    <cell>11.</cell>
                    <cell>30</cell>
                    <cell>29.</cell>
                    <cell>20.</cell>
                    <cell>51</cell>
                    <cell>12.</cell>
                    <cell>3 1/2</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell>9</cell>
                    <cell>8.</cell>
                    <cell>30</cell>
                    <cell> 0.</cell>
                    <cell>43.</cell>
                    <cell>4</cell>
                    <cell>11.</cell>
                    <cell>45 7/8</cell>
                  </row>
                </table>
                <p type="main">
                  <s>Hæ Obſervationes Teleſcopio ſeptupedali, & Micrometro filiſ­
                    <lb/>
                  Q.E.I. ſoco Teleſcopii locatis peractæ ſunt: quibus inſtrumentis </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
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