Full text: Gravesande, Willem Jacob: Physices elementa mathematica, experimentis confirmata, sive introductio ad philosophiam Newtonianam

PHYSICES ELEMENTA gr. 16′, Apſides regrediuntur, id eſt in antecedentiâ moventur .

676.1.

1317.
1315. 1298.
1307.
1318.
1316. 1290.
1307.

Vires à quibus progreſſus & regreſſus Apſidum pendent
ſunt vires motum Lunæ turbantes, antea explicatæ ; ideo,
cùm vis turbans in Syzygiis, ſit dupla vis turbantis in Qua-
draturis , progreſſus, integrâ conſideratâ Lunæ revolutione, regreſſum ſuperat, cæteris paribus.

676.1.

1319.
1296.

In circulo, cujus centrum in centro virium datur, diminu-
tio vis, in receſſu à centro, nullum edit effectum; quia in
hac lineâ non à centro recedit corpus; Idcirco effectus di-
minutionis hujus eſt eo major, quo à tali circulo magis diſ-
fert curva, quam corpus deſcribit.

In orbitâ Ellipticâ, cujus Focorum alter cum virium cen-
tro coincidit, curvatura in Apſidibus omnium maximè à tali
circulo differt, & effectus diminutionis vis in receſſu à vi-
rium centro, eſt omniùm maximus. Si orbita hæc parum fue-
rit excentrica, in extremitatibus axeos minoris parum ad-
modum à circulo memorato differt Ellipſis, & diminutionis
effectus eſt omnium minimus.

676.1.

1320.
1321.

Progreſſus, & regreſſus, Apſidum pendent à proportio-
ne, juxta quam decreſcit vis gravitatis recedendo à Tel-
luris centro ; eſt ideò effectus diminutionis vis centralis.

676.1.

1322.
1315. 1316.

Varias ſubit mutationes explicatus Apſidum motus; om-
nium celerrimè progrediuntur Apſides, in Lunæ revolutione,
poſitâ Apſidum lineâ in bis ; & in boc ipſo caſu omnium lentiſ- ſimè, in eâdem revolutione remeant ; quia, propter exiguam Lunæ excentricitatem, parum, ab extremitatibus axeos mi-
noris orbitæ diſtant Quadraturæ.

676.1.

TAB. XXV .
fig. 2.
1323.
1317. 1322.
1320.
1318. 1322.
1321.

Poſitâ lineâ Apſiaum in Quadraturis, omnium minimè in
Syzygiis in conſequentiâ feruntur Apſides ; celerrimè au- tem redeunt in Quadraturis ; & , in boc caſu, in integrâ Lunæ revolutione, regreſſus progreſſum ſuperat.

676.1.

1324.
TAB. XXV .
fig. 3.
1317. 1322.
1321.
1318. 1322.

Dum Tellus in orbitâ transfertur, linea Apſidum ſucceſ-
ſivè omnes acquirit ſitus reſpectu Solis; quare plurimis re-
volutionibus Lunæ ſimul conſideratis progrediuntur Apſides , & ex obſervationibus conſtat, in ſpatio circiter octo anno-
rum lineam Apſidum integram peragere revolutionem.

676.1.

1320.
1325.
1319.

Orbitæ excentricitatem etiam inconſtantem eſſe diximus.

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