Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  diſpoſitis conſtantia. </s>
                  <s>Partes Mediorum
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                  A
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                  &
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                  B
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                  fugiant ſe mutuo
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                    <arrow.to.target n="note273"/>
                  viribus quæ ſint ad invicem ut
                    <emph type="italics"/>
                  T
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                  &
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                  V,
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                  illæ Medii
                    <emph type="italics"/>
                  C
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                  ejuſmo­
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                  di viribus omnino deſtituantur. </s>
                  <s>Et ſi corpora quatuor æqualia
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                    <emph type="italics"/>
                  D, E, F, G
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                  in his Mediis moveantur, priora duo
                    <emph type="italics"/>
                  D
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                  &
                    <emph type="italics"/>
                  E
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                  in pri­
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                  oribus duobus
                    <emph type="italics"/>
                  A
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                  &
                    <emph type="italics"/>
                  B,
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                  & altera duo
                    <emph type="italics"/>
                  F
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                  &
                    <emph type="italics"/>
                  G
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                  in tertio
                    <emph type="italics"/>
                  G
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                  ; ſitque ve­
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                  locitas corporis
                    <emph type="italics"/>
                  D
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                  ad velocitatem corporis
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                  E,
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                  & velocitas corpo­
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                  ris
                    <emph type="italics"/>
                  F
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                  ad velocitatem corporis
                    <emph type="italics"/>
                  G,
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                  in ſubduplicata ratione virium
                    <emph type="italics"/>
                  T
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                  ad vires
                    <emph type="italics"/>
                  V
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                  : reſiſtentia corporis
                    <emph type="italics"/>
                  D
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                  erit ad reſiſtentiam corporis
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                  E,
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                  & reſiſtentia corporis
                    <emph type="italics"/>
                  F
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                  ad reſiſtentiam corporis
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                  G,
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                  in velocitatum
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                  ratione duplicata; & propterea reſiſtentia corporis
                    <emph type="italics"/>
                  D
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                  erit ad reſi­
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                  ſtentiam corporis
                    <emph type="italics"/>
                  F
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                  ut reſiſtentia corporis
                    <emph type="italics"/>
                  E
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                  ad reſiſtentiam corpo­
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                  ris
                    <emph type="italics"/>
                  G.
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                  Sunto corpora
                    <emph type="italics"/>
                  D
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                  &
                    <emph type="italics"/>
                  F
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                  æquivelocia ut & corpora
                    <emph type="italics"/>
                  E
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                  &
                    <emph type="italics"/>
                  G
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                  ;
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                  & augendo velocitates corporum
                    <emph type="italics"/>
                  D
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                  &
                    <emph type="italics"/>
                  F
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                  in ratione quacunque, ac
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                  diminuendo vires particularum Medii
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                  B
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                  in eadem ratione duplicata,
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                  accedet Medium
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                  B
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                  ad formam & conditionem Medii
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                  C
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                  pro lubi­
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                  tu, & idcirco reſiſtentiæ corporum æqualium & æquivelocium
                    <emph type="italics"/>
                  E
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                    <lb/>
                  &
                    <emph type="italics"/>
                  G
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                  in his Mediis, perpetuo accedent ad æqualitatem, ita ut ea­
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                  rum differentia evadat tandem minor quam data quævis. </s>
                  <s>Proinde
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                  cum reſiſtentiæ corporum
                    <emph type="italics"/>
                  D
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                  &
                    <emph type="italics"/>
                  F
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                  ſint ad invicem ut reſiſtentiæ cor­
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                  porum
                    <emph type="italics"/>
                  E
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                  &
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                  G,
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                  accedent etiam hæ ſimiliter ad rationem æqualita­
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                  tis. </s>
                  <s>Corporum igitur
                    <emph type="italics"/>
                  D
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                  &
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                  F,
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                  ubi velociſſime moventur, reſiſten­
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                  tiæ ſunt æquales quam proxime: & propterea cum reſiſtentia cor­
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                  poris
                    <emph type="italics"/>
                  F
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                  ſit in duplicata ratione velocitatis, erit reſiſtentia corporis
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                    <emph type="italics"/>
                  D
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                  in eadem ratione quam proxime.
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                  </s>
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                <p type="margin">
                  <s>
                    <margin.target id="note273"/>
                  LIBER
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                  SECUNDUS.</s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
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                  3. Igitur corporis in Fluido quovis Elaſtico velociſſime
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                  moti eadem fere eſt reſiſtentia ac ſi partes Fluidi viribus ſuis
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                  centrifugis deſtituerentur, ſeque mutuo non fugerent: ſi modo
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                  Fluidi vis Elaſtica ex particularum viribus centrifugis oriatur, &
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                  velocitas adeo magna ſit ut vires non habeant ſatis temporis ad
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                  agendum.
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                  <s>
                    <emph type="italics"/>
                  Corol.
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                  4. Proinde cum reſiſtentiæ ſimilium & æquivelocium cor­
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                  porum, in Medio cujus partes diſtantes ſe mutuo non fugiunt, ſint
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                  ut quadrata diametrorum; ſunt etiam æquivelocium & celerrime
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                  motorum corporum reſiſtentiæ in Fluido Elaſtico ut quadrata
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                  diametrorum quam proxime.
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                  </s>
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                  <s>
                    <emph type="italics"/>
                  Corol.
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                  5. Et cum corpora ſimilia, æqualia & æquivelocia, in
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                  Mediis ejuſdem denſitatis, quorum particulæ ſe mutuo non fu­
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                  giunt, ſive particulæ illæ ſint plures & minores, ſive pauciores &
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                  majores, in æqualem materiæ quantitatem temporibus æqualibus
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                  inpingant, eique æqualem motus quantitatem imprimant, & vi-</s>
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