Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  motus ſui notabiliter deflectere cœpit boream verſus, a paral­
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                  lelo quem in fine Menſis
                    <emph type="italics"/>
                  Februarii
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                  tenuerat. </s>
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                <p type="margin">
                  <s>
                    <margin.target id="note487"/>
                  DE MUNDI
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                  SYSTEMATE</s>
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                <p type="main">
                  <s>Jam ad Orbem Cometæ determinandum; ſelegi ex obſervatio­
                    <lb/>
                  nibus hactenus deſcriptis tres, quas
                    <emph type="italics"/>
                  Flamſtedius
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                  habuit
                    <emph type="italics"/>
                  Dec.
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                  21,
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                    <emph type="italics"/>
                  Jan.
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                  5, &
                    <emph type="italics"/>
                  Jan.
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                  25. Ex his inveni
                    <emph type="italics"/>
                  St
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                  partium 9842,1 &
                    <emph type="italics"/>
                  Vt
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                  par­
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                  tium 455, quales 10000 ſunt ſemidiameter Orbis magni. </s>
                  <s>Tum
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                  ad operationem primam aſſumendo
                    <emph type="italics"/>
                  tB
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                  partium 5657, inveni
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                    <emph type="italics"/>
                  SB
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                  9747,
                    <emph type="italics"/>
                  BE
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                  prima vice 412,
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                    <foreign lang="grc">μ</foreign>
                  9503,
                    <emph type="italics"/>
                  i
                    <emph.end type="italics"/>
                    <foreign lang="grc">λ</foreign>
                  413:
                    <emph type="italics"/>
                  BE
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                  ſecun­
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                  da vice 421,
                    <emph type="italics"/>
                  OD
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                  10186, X 8528,4,
                    <emph type="italics"/>
                  MP
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                  8450,
                    <emph type="italics"/>
                  MN
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                  8475,
                    <lb/>
                    <emph type="italics"/>
                  NP
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                  25. Unde ad operationem ſecundam collegi diſtantiam
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                    <emph type="italics"/>
                  tb
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                  5640. Et per hanc operationem inveni tandem diſtantias
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                    <emph type="italics"/>
                  TX
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                  4775 &
                    <foreign lang="grc">τ</foreign>
                    <emph type="italics"/>
                  Z
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                  11322. Ex quibus Orbem definiendo, inveni
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                  Nodos ejus deſcendentem in & aſcendentem in 1
                    <emph type="sup"/>
                  gr.
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                  53′;
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                  Inclinationem plani ejus ad planum Eclipticæ 61
                    <emph type="sup"/>
                  gr.
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                  20′ 2/3; verti­
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                  cem ejus (ſeu Perihelium Cometæ) diſtare a Nodo 8
                    <emph type="sup"/>
                  gr.
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                  38′, &
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                  eſſe in 27
                    <emph type="sup"/>
                  gr.
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                  43′ cum latitudine auſtrali 7
                    <emph type="sup"/>
                  gr.
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                  34′; & ejus latus
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                  rectum eſſe 236,8, areamque radio ad Solem ducto ſingulis diebus
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                  deſcriptam 93585, quadrato ſemidiametri Orbis magni poſito
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                  100000000; Cometam vero in hoc Orbe ſecundum ſeriem ſigno­
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                  rum proceſſiſſe, &
                    <emph type="italics"/>
                  Decemb.
                    <emph.end type="italics"/>
                  8
                    <emph type="sup"/>
                  d
                    <emph.end type="sup"/>
                  . </s>
                  <s>0
                    <emph type="sup"/>
                  h
                    <emph.end type="sup"/>
                  . </s>
                  <s>4′. </s>
                  <s>P. M. in vertice Orbis ſeu
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                  Perihelio fuiſſe. </s>
                  <s>Hæc omnia per ſcalam partium æqualium &
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                  chordas angulorum ex Tabula ſinuum naturalium collectas, deter­
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                  minavi Graphice; conſtruendo Schema ſatis amplum, in quo vide­
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                  licet ſemidiameter Orbis magni (partium 10000) æqualis eſſet
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                  digitis 16 2/3 pedis Anglicani. </s>
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                <p type="main">
                  <s>Tandem ut conſtaret an Cometa in Orbe ſic invento vere mo­
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                  veretur, collegi per operationes partim Arithmeticas partim Gra­
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                  phicas, loca Cometæ in hoc Orbe ad obſervationum quarundam
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                  tempora: uti in Tabula ſequente videre licet.
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                  <row>
                    <cell/>
                    <cell/>
                    <cell>Diſtant.Co­
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                    metæ a Sole</cell>
                    <cell>Long.Collect.</cell>
                    <cell>Lat. Collect.</cell>
                    <cell>Long. Obſ.</cell>
                    <cell>Lat. Obſ.</cell>
                    <cell>Differ
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                    Long.</cell>
                    <cell>Differ.
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                    Lat.</cell>
                  </row>
                  <row>
                    <cell/>
                    <cell/>
                    <cell/>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>gr.</cell>
                    <cell>′</cell>
                    <cell>′</cell>
                    <cell>′</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Dec.
                      <emph.end type="italics"/>
                    </cell>
                    <cell>12</cell>
                    <cell>2792</cell>
                    <cell> 6.</cell>
                    <cell>32</cell>
                    <cell>8.</cell>
                    <cell>18 1/2</cell>
                    <cell> 6.</cell>
                    <cell>31 1/3</cell>
                    <cell>8.</cell>
                    <cell>26</cell>
                    <cell>+ 1</cell>
                    <cell>-7 1/2</cell>
                  </row>
                  <row>
                    <cell>29</cell>
                    <cell>8403</cell>
                    <cell> 13.</cell>
                    <cell>13 2/3</cell>
                    <cell>28.</cell>
                    <cell>0</cell>
                    <cell> 13.</cell>
                    <cell>11 3/4</cell>
                    <cell>28.</cell>
                    <cell>(10 1/12)</cell>
                    <cell>+ 2</cell>
                    <cell>-(10 1/12)</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Febr.
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                    </cell>
                    <cell>5</cell>
                    <cell>16669</cell>
                    <cell> 17.</cell>
                    <cell>0</cell>
                    <cell>15.</cell>
                    <cell>29 2/3</cell>
                    <cell> 16.</cell>
                    <cell>59 7/8</cell>
                    <cell>15.</cell>
                    <cell>27 2/5</cell>
                    <cell>+ 0</cell>
                    <cell>+ 2 1/4</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Mar.
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                    </cell>
                    <cell>5</cell>
                    <cell>21737</cell>
                    <cell>29.</cell>
                    <cell>19 1/4</cell>
                    <cell>12.</cell>
                    <cell>4</cell>
                    <cell>29.</cell>
                    <cell>20 6/7</cell>
                    <cell>12.</cell>
                    <cell>3 1/2</cell>
                    <cell>-1</cell>
                    <cell>+ 1/2</cell>
                  </row>
                </table>
                <p type="main">
                  <s>Poſtea vero
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                  Halleius
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                  noſter Orbitam, per calculum Arithmeti­
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                  cum, accuratius determinavit quam per deſeriptiones linearum
                    <lb/>
                  fieri licuit; & retinuit quidem locum Nodorum in & 1
                    <emph type="sup"/>
                  gr.
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                  53′,
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                  & Inclinationem plani Orbitæ ad Eclipticam 61
                    <emph type="sup"/>
                  gr.
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                  20′ 1/3, ut & tem­
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                  pus Perihelii Cometæ
                    <emph type="italics"/>
                  Decemb.
                    <emph.end type="italics"/>
                  8
                    <emph type="sup"/>
                  d
                    <emph.end type="sup"/>
                  . </s>
                  <s>O
                    <emph type="sup"/>
                  h
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                  . </s>
                  <s>4′: diſtantiam vero Peri-</s>
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