Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/509.jpg" pagenum="478"/>
                    <arrow.to.target n="note507"/>
                    <arrow.to.target n="table16"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note507"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <table>
                  <table.target id="table15"/>
                  <row>
                    <cell>Temp. Appar.
                      <lb/>
                      <emph type="italics"/>
                    Gedani
                      <emph.end type="italics"/>
                    </cell>
                    <cell>Obſervata Cometæ diſtantia</cell>
                    <cell>Loca obſervata</cell>
                    <cell>Loca compu­
                      <lb/>
                    tata in Orbe</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell/>
                    <cell/>
                    <cell/>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>″</cell>
                    <cell/>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>″</cell>
                    <cell/>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>″</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Decemb.
                      <emph.end type="italics"/>
                    </cell>
                    <cell>a Corde Leonis</cell>
                    <cell>46.</cell>
                    <cell>24.</cell>
                    <cell>20</cell>
                    <cell>Long. </cell>
                    <cell>7.</cell>
                    <cell>1.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>7.</cell>
                    <cell>1.</cell>
                    <cell>29</cell>
                  </row>
                  <row>
                    <cell>3d.</cell>
                    <cell>18
                      <emph type="sup"/>
                    h
                      <emph.end type="sup"/>
                    .</cell>
                    <cell>29 1/2</cell>
                    <cell>a Spica Virginis</cell>
                    <cell>22.</cell>
                    <cell>52.</cell>
                    <cell>10</cell>
                    <cell>L
                      <gap/>
                    auſt.</cell>
                    <cell>21.</cell>
                    <cell>39.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>21.</cell>
                    <cell>38.</cell>
                    <cell>50</cell>
                  </row>
                  <row>
                    <cell>4.</cell>
                    <cell>18.</cell>
                    <cell>1 1/2</cell>
                    <cell>a Corde Leonis</cell>
                    <cell>46.</cell>
                    <cell>2.</cell>
                    <cell>45</cell>
                    <cell>Long. </cell>
                    <cell>6.</cell>
                    <cell>15.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>6.</cell>
                    <cell>16.</cell>
                    <cell>5</cell>
                  </row>
                  <row>
                    <cell>a Spica Virginis</cell>
                    <cell>23.</cell>
                    <cell>52.</cell>
                    <cell>40</cell>
                    <cell>Lat. a.</cell>
                    <cell>22.</cell>
                    <cell>24.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>22.</cell>
                    <cell>24.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>7.</cell>
                    <cell>17.</cell>
                    <cell>48</cell>
                    <cell>a Corde Leonis</cell>
                    <cell>44.</cell>
                    <cell>48.</cell>
                    <cell>0</cell>
                    <cell>Long. </cell>
                    <cell>3.</cell>
                    <cell>6.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>3.</cell>
                    <cell>7.</cell>
                    <cell>33</cell>
                  </row>
                  <row>
                    <cell>a Spica Virginis</cell>
                    <cell>27.</cell>
                    <cell>56.</cell>
                    <cell>40</cell>
                    <cell>Lat. a.</cell>
                    <cell>25.</cell>
                    <cell>22.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>25.</cell>
                    <cell>21.</cell>
                    <cell>40</cell>
                  </row>
                  <row>
                    <cell>17.</cell>
                    <cell>14.</cell>
                    <cell>43</cell>
                    <cell>a Corde Leonis</cell>
                    <cell>53.</cell>
                    <cell>15.</cell>
                    <cell>15</cell>
                    <cell>Long. </cell>
                    <cell>2.</cell>
                    <cell>56.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>2.</cell>
                    <cell>56.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>ab Humero Orionis dext.</cell>
                    <cell>45.</cell>
                    <cell>43.</cell>
                    <cell>30</cell>
                    <cell>Lat. a.</cell>
                    <cell>49.</cell>
                    <cell>25.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>49.</cell>
                    <cell>25.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>19.</cell>
                    <cell>9.</cell>
                    <cell>25</cell>
                    <cell>a Procyone</cell>
                    <cell>35.</cell>
                    <cell>13.</cell>
                    <cell>50</cell>
                    <cell>Long. II</cell>
                    <cell>28.</cell>
                    <cell>40.</cell>
                    <cell>30</cell>
                    <cell>II</cell>
                    <cell>28.</cell>
                    <cell>43.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>a Lucid. Mandio. Geti</cell>
                    <cell>52.</cell>
                    <cell>56.</cell>
                    <cell>0</cell>
                    <cell>Lat. a.</cell>
                    <cell>45.</cell>
                    <cell>48.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>45.</cell>
                    <cell>46.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>20.</cell>
                    <cell>9.</cell>
                    <cell>53 1/2</cell>
                    <cell>a Procyone</cell>
                    <cell>40.</cell>
                    <cell>49.</cell>
                    <cell>0</cell>
                    <cell>Long. II</cell>
                    <cell>13.</cell>
                    <cell>3.</cell>
                    <cell>0</cell>
                    <cell>II</cell>
                    <cell>13.</cell>
                    <cell>5.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>a Lucid. Mandib. Ceti</cell>
                    <cell>40.</cell>
                    <cell>4.</cell>
                    <cell>0</cell>
                    <cell>Lat. a.</cell>
                    <cell>39.</cell>
                    <cell>54.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>39.</cell>
                    <cell>53.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>21.</cell>
                    <cell>9.</cell>
                    <cell>9 1/2</cell>
                    <cell>ab Hum. dext. Orionis</cell>
                    <cell>26.</cell>
                    <cell>21.</cell>
                    <cell>25</cell>
                    <cell>Long. II</cell>
                    <cell>2.</cell>
                    <cell>16.</cell>
                    <cell>0</cell>
                    <cell>II</cell>
                    <cell>2.</cell>
                    <cell>18.</cell>
                    <cell>30</cell>
                  </row>
                  <row>
                    <cell>a Lucid. Mandib. Ceti</cell>
                    <cell>29.</cell>
                    <cell>28.</cell>
                    <cell>0</cell>
                    <cell>Lat. a.</cell>
                    <cell>33.</cell>
                    <cell>41.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>33.</cell>
                    <cell>39.</cell>
                    <cell>40</cell>
                  </row>
                  <row>
                    <cell>22.</cell>
                    <cell>9.</cell>
                    <cell>0</cell>
                    <cell>ab Hum. dext. Orionis</cell>
                    <cell>29.</cell>
                    <cell>47.</cell>
                    <cell>0</cell>
                    <cell>Long. </cell>
                    <cell>24.</cell>
                    <cell>24.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>24.</cell>
                    <cell>27.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>a Lucid. Mandib. Ceti</cell>
                    <cell>20.</cell>
                    <cell>29.</cell>
                    <cell>30</cell>
                    <cell>Lat. a.</cell>
                    <cell>27.</cell>
                    <cell>45.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>27.</cell>
                    <cell>46.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>26.</cell>
                    <cell>7.</cell>
                    <cell>58</cell>
                    <cell>a Lucida Arietis</cell>
                    <cell>23.</cell>
                    <cell>20.</cell>
                    <cell>0</cell>
                    <cell>Long. </cell>
                    <cell>9.</cell>
                    <cell>0.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>9.</cell>
                    <cell>2.</cell>
                    <cell>28</cell>
                  </row>
                  <row>
                    <cell>ab Aldebaran</cell>
                    <cell>26.</cell>
                    <cell>44.</cell>
                    <cell>0</cell>
                    <cell>Lat. a.</cell>
                    <cell>12.</cell>
                    <cell>36.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>12.</cell>
                    <cell>34.</cell>
                    <cell>13</cell>
                  </row>
                </table>
                <table>
                  <table.target id="table16"/>
                  <row>
                    <cell>Temp. Appar.
                      <lb/>
                      <emph type="italics"/>
                    Gedani
                      <emph.end type="italics"/>
                    </cell>
                    <cell>Obſervata Cometæ diſtantia</cell>
                    <cell>Loca obſervata</cell>
                    <cell>Loca compu­
                      <lb/>
                    tata in Orbe.</cell>
                  </row>
                  <row>
                    <cell>d.</cell>
                    <cell>h.</cell>
                    <cell>′</cell>
                    <cell/>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>″</cell>
                    <cell/>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>″</cell>
                    <cell/>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>″</cell>
                  </row>
                  <row>
                    <cell>27.</cell>
                    <cell>6.</cell>
                    <cell>45</cell>
                    <cell>a Lucida Arictis</cell>
                    <cell>20.</cell>
                    <cell>45.</cell>
                    <cell>0</cell>
                    <cell>Long. </cell>
                    <cell>7.</cell>
                    <cell>5.</cell>
                    <cell>40</cell>
                    <cell/>
                    <cell>7.</cell>
                    <cell>8.</cell>
                    <cell>54</cell>
                  </row>
                  <row>
                    <cell>ab Aldebaran</cell>
                    <cell>28.</cell>
                    <cell>10.</cell>
                    <cell>0</cell>
                    <cell>Lat. a.</cell>
                    <cell>10.</cell>
                    <cell>23.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>10.</cell>
                    <cell>23.</cell>
                    <cell>13</cell>
                  </row>
                  <row>
                    <cell>28.</cell>
                    <cell>7.</cell>
                    <cell>39</cell>
                    <cell>a Lucida Arictis</cell>
                    <cell>18.</cell>
                    <cell>29.</cell>
                    <cell>0</cell>
                    <cell>Long. </cell>
                    <cell>5.</cell>
                    <cell>24.</cell>
                    <cell>45</cell>
                    <cell/>
                    <cell>5.</cell>
                    <cell>27.</cell>
                    <cell>52</cell>
                  </row>
                  <row>
                    <cell>a Palilicio</cell>
                    <cell>29.</cell>
                    <cell>37.</cell>
                    <cell>0</cell>
                    <cell>Lat. a.</cell>
                    <cell>8.</cell>
                    <cell>22.</cell>
                    <cell>50</cell>
                    <cell/>
                    <cell>8.</cell>
                    <cell>23.</cell>
                    <cell>37</cell>
                  </row>
                  <row>
                    <cell>31.</cell>
                    <cell>6.</cell>
                    <cell>45</cell>
                    <cell>a Cing. Androm.</cell>
                    <cell>30.</cell>
                    <cell>48.</cell>
                    <cell>10</cell>
                    <cell>Long. </cell>
                    <cell>2.</cell>
                    <cell>7.</cell>
                    <cell>40</cell>
                    <cell/>
                    <cell>2.</cell>
                    <cell>8.</cell>
                    <cell>20</cell>
                  </row>
                  <row>
                    <cell>a Palilicio</cell>
                    <cell>32.</cell>
                    <cell>53.</cell>
                    <cell>30</cell>
                    <cell>Lat. a.</cell>
                    <cell>4.</cell>
                    <cell>13.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>4.</cell>
                    <cell>16.</cell>
                    <cell>25</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Jan.
                      <emph.end type="italics"/>
                    </cell>
                    <cell>a Cing. Androm.</cell>
                    <cell>25.</cell>
                    <cell>11.</cell>
                    <cell>0</cell>
                    <cell>Long. </cell>
                    <cell>28.</cell>
                    <cell>24.</cell>
                    <cell>47</cell>
                    <cell/>
                    <cell>28.</cell>
                    <cell>24.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>7.</cell>
                    <cell>7.</cell>
                    <cell>37 1/2</cell>
                    <cell>a Palilicio</cell>
                    <cell>37.</cell>
                    <cell>12.</cell>
                    <cell>25</cell>
                    <cell>Lat. bor.</cell>
                    <cell>0.</cell>
                    <cell>54.</cell>
                    <cell>0</cell>
                    <cell/>
                    <cell>0.</cell>
                    <cell>53.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>24.</cell>
                    <cell>7.</cell>
                    <cell>29</cell>
                    <cell>a Palilicio</cell>
                    <cell>40.</cell>
                    <cell>5.</cell>
                    <cell>0</cell>
                    <cell>Long. </cell>
                    <cell>26.</cell>
                    <cell>29.</cell>
                    <cell>15</cell>
                    <cell/>
                    <cell>26.</cell>
                    <cell>28.</cell>
                    <cell>50</cell>
                  </row>
                  <row>
                    <cell>a Cing. Androm.</cell>
                    <cell>20.</cell>
                    <cell>32.</cell>
                    <cell>15</cell>
                    <cell>Lat. bor.</cell>
                    <cell>5.</cell>
                    <cell>25.</cell>
                    <cell>50</cell>
                    <cell/>
                    <cell>5.</cell>
                    <cell>26.</cell>
                    <cell>0</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Mar.
                      <emph.end type="italics"/>
                    </cell>
                    <cell>Cometa ab
                      <emph type="italics"/>
                    Hookio
                      <emph.end type="italics"/>
                    prope ſecundam
                      <lb/>
                    Arictis obſervabatur,
                      <emph type="italics"/>
                    Mar.
                      <emph.end type="italics"/>
                    1
                      <emph type="sup"/>
                    d.
                      <emph.end type="sup"/>
                    7
                      <emph type="sup"/>
                    h.
                      <emph.end type="sup"/>
                    0′
                      <lb/>
                      <emph type="italics"/>
                    Loudini,
                      <emph.end type="italics"/>
                    cum</cell>
                    <cell>Long. </cell>
                    <cell>29.</cell>
                    <cell>17.</cell>
                    <cell>20</cell>
                    <cell/>
                    <cell>29.</cell>
                    <cell>18.</cell>
                    <cell>20</cell>
                  </row>
                  <row>
                    <cell>1.</cell>
                    <cell>8</cell>
                    <cell>6</cell>
                    <cell>Lat. bor.</cell>
                    <cell>8.</cell>
                    <cell>37.</cell>
                    <cell>10</cell>
                    <cell/>
                    <cell>8.</cell>
                    <cell>36.</cell>
                    <cell>12</cell>
                  </row>
                </table>
                <p type="main">
                  <s>Apparuit hic Cometa per menſes tres, ſignaque fere ſex de­
                    <lb/>
                  ſcripſit, & uno die gradus fere viginti confecit. </s>
                  <s>Curſus ejus
                    <lb/>
                  a circulo maximo plurimum deflexit, in boream incurvatus; &
                    <lb/>
                  motus ejus ſub finem ex retrogrado factus eſt directus. </s>
                  <s>Et non
                    <lb/>
                  obſtante curſu tam inſolito, Theoria a principio ad finem cum
                    <lb/>
                  obſervationibus non minus accurate congruit, quam Theoriæ
                    <lb/>
                  Planetarum cum eorum obſervationibus congruere ſolent, ut in­
                    <lb/>
                  ſpicienti Tabulam patebit. </s>
                  <s>Subducenda tamen ſunt minuta duo
                    <lb/>
                  prima circiter, ubi Cometa velociſſimus fuit; id quod fiet au­
                    <lb/>
                  ferendo duodecim minuta ſecunda. </s>
                  <s>prima ab angulo inter Nodum aſcen­
                    <lb/>
                  dentem & Perihelium, ſeu conſtituendo angulum illum 49
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                    <lb/>
                  27′. </s>
                  <s>18″. </s>
                  <s>Cometæ utriuſque (& hujus & ſuperioris) parallaxis
                    <lb/>
                  annua inſignis fuit, & inde demonſtratur motus annuus Terræ in
                    <lb/>
                  Orbe magno. </s>
                </p>
                <p type="main">
                  <s>Confirmatur etiam Theoria per motum Cometæ qui apparuit
                    <lb/>
                  anno 1683. Hic fuit retrogradus in Orbe cujus planum cum
                    <lb/>
                  plano Eclipticæ angulum fere rectum continebat. </s>
                  <s>Hujus Nodus
                    <lb/>
                  aſcendens (computante
                    <emph type="italics"/>
                  Halleio
                    <emph.end type="italics"/>
                  ) erat in 23
                    <emph type="sup"/>
                  gr
                    <emph.end type="sup"/>
                  23′; Inclinatio
                    <lb/>
                  Orbitæ ad Eclipticam 83
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  11′; Perihelium in II 25
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  29′. </s>
                  <s>30″;
                    <lb/>
                  Diſtantia perihelia a Sole 56020, exiſtente radio Orbis magni
                    <lb/>
                  100000, & tempore Perihelii
                    <emph type="italics"/>
                  Julii
                    <emph.end type="italics"/>
                  2
                    <emph type="sup"/>
                  d
                    <emph.end type="sup"/>
                  . </s>
                  <s>3
                    <emph type="sup"/>
                  h
                    <emph.end type="sup"/>
                  . </s>
                  <s>50′. </s>
                  <s>Loca autem Co­
                    <lb/>
                  metæ in hoc Orbe ab
                    <emph type="italics"/>
                  Halleio
                    <emph.end type="italics"/>
                  computata, & cum locis a
                    <emph type="italics"/>
                  Flam­
                    <lb/>
                  ſtedio
                    <emph.end type="italics"/>
                  obſervatis collata, exhibentur in Tabula ſequente. </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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