Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1
PHÆNOMENA.
LIBER
TERTIUS.
PHÆNOMENON I.
Planetas Circumjoviales, radiis ad centrum Jovis ductis, areas
deſcribere temporibus proportionales, eorumque tempora periodica
eſſe in ratione ſeſquiplicata diſtantiarum ab ipſius centro.
COnſtat ex obſervationibus Aſtronomicis. Orbes horum Pla­
netarum non differunt ſenſibiliter a circulis Jovi concentri­
cis, & motus eorum in his circulis uniformes deprehenduntur.

Tempora vero periodica eſſe in ſeſquiplicata ratione ſemidiame­
trorum Orbium conſentiunt Aſtronomi; & idem ex Tabula ſe­
quente manifeſtum eſt.
Satellitum Jovialium tempora periodica.
1d.18h.27′.34″.3d.13h.13′.42″.7d.3h.42′.36″.16d.16h.32′.9″.Diſtantiæ Satellitum a centro Jovis.
Ex obſervationibus1234Borelli5 2/38 2/31424 2/3Semidiam.
JovisTownlei per Microm.5,528,7813,4724,72Caſſini per Teleſcop.581323Caſſini per Eclipſ. Satell.5 2/39(14 23/60)(25 1/10)Ex temporibus periodicis.5,6679,01714,38425,299Satellitum Jovialium tempora periodica.
PHÆNOMENON II.
Planetas Circumſaturnios, radiis ad Saturnum ductis, areas deſcri­
bere temporibus proportionales, & eorum tempora periodica
eſſe in ratione ſeſquiplicata diſtantiarum ab ipſius centro.
Caſſinusutique ex obſervationibus ſuis diſtantias eorum a centro
Saturni & periodica tempora hujuſmodi eſſe ſtatuit.

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