Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  rent. Ea Q.E.D. cauſa Globus terreus aquis undique coopertus,
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                  ſi rarior eſſet quam aqua, emergeret alicubi, & aqua omnis inde
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                  defluens congregaretur in regione oppoſita. </s>
                  <s>Et par eſt ratio
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                  Terræ noſtræ maribus magna ex parte circumdatæ. Hæc ſi den­
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                  ſior non eſſet, emergeret ex maribus, & parte ſui pro gradu levi­
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                  tatis extaret ex Aqua, maribus omnibus in regionem oppoſitam
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                  confluentibus. </s>
                  <s>Eodem argumento maculæ Solares leviores ſunt.
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                  quam materia lucida Solaris cui ſupernatant. </s>
                  <s>Et in formatione
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                  qualicunque Planetarum, materia omnis gravior, quo tempore
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                  maſſa tota fluida erat, centrum petebat. </s>
                  <s>Unde cum Terra com­
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                  munis ſuprema quaſi duplo gravior ſit quam aqua, & paulo infe­
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                  rius in fodinis quaſi triplo vel quadruplo aut etiam quintuplo gra­
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                  vior reperiatur: veriſimile eſt quod copia materiæ totius in Terra
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                  quaſi quintuplo vel ſextuplo major ſit quam ſi tota ex aqua con­
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                  ſtaret; præſertim cum Terram quaſi quintuplo denſiorem eſſe
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                  quam Jovem jam ante oſtenſum ſit. </s>
                  <s>Igitur ſi Jupiter paulo den­
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                  ſior ſit quam aqua, hic ſpatio dierum triginta, quibus lon­
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                  gitudinem 459 ſemidiametrorum ſuarum deſcribit, amitteret in
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                  Medio ejuſdem denſitatis cum Aere noſtro motus ſui partem fere
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                  decimam. </s>
                  <s>Verum cum reſiſtentia Mediorum minuatur in ratione
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                  ponderis ac denſitatis, ſic ut aqua, quæ partibus 13 2/3 levior eſt
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                  quam argentum vivum, minus reſiſtat in eadem ratione; & aer,
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                  qui partibus 850 levior eſt quam aqua, minus reſiſtat in eadem
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                  ratione: ſi aſcendatur in cœlos ubi pondus Medii, in quo Planetæ
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                  moventur, diminuitur in immenſum, reſiſtentia prope ceſſabit.
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                  HYPOTHESIS I.
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                  Centrum Syſtematis Mundani quieſcere.
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                  LIBER
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                  TERTIUS.</s>
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                  <s>Hoc ab omnibus conceſſum eſt, dum aliqui Terram alii Solem
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                  in centro Syſtematis quieſcere contendant. </s>
                  <s>Videamus quid inde
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                  ſequatur.
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                  PROPOSITIO XI. THEOREMA XI.
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                <p type="main">
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                  Commune centrum gravitatis Terræ, Solis & Planetarum om­
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                  nium quieſcere.
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                  <s>Nam centrum illud (per Legum Corol. 4.) vel quieſcet vel
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                  progredietur uniformiter in directum. </s>
                  <s>Sed centro illo ſemper
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