Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

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781(180)PHYSICES ELEMENTA gr. 16′, Apſides regrediuntur, id eſt in antecedentiâ moventur .
111316. 1290.
1307.
Vires à quibus progreſſus & regreſſus Apſidum pendent
221319. ſunt vires motum Lunæ turbantes, antea explicatæ ;
ideo,
cùm vis turbans in Syzygiis, ſit dupla vis turbantis in Qua-
draturis , progreſſus, integrâ conſideratâ Lunæ 331296. regreſſum ſuperat, cæteris paribus.
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
441320. circulo differt, &
effectus diminutionis vis in receſſu à vi-
rium centro, eſt omniùm maximus.
Si orbita hæc parum fue-
551321. rit excentrica, in extremitatibus axeos minoris parum ad-
modum à circulo memorato differt Ellipſis, &
diminutionis
effectus eſt omnium minimus.
Progreſſus, & regreſſus, Apſidum pendent à proportio-
661322. ne, juxta quam decreſcit vis gravitatis recedendo à Tel-
luris centro ;
eſt ideò effectus diminutionis vis centralis.
771315. 1316.
Varias ſubit mutationes explicatus Apſidum motus; om-
88TAB. XXV. nium celerrimè progrediuntur Apſides, in Lunæ revolutione,
99fig. 2. poſitâ Apſidum lineâ in bis ;
& in boc ipſo caſu omnium 10101323.11111317. 1322. ſimè, in eâdem revolutione remeant ; quia, propter 12121320. Lunæ excentricitatem, parum, ab extremitatibus axeos mi-
13131318. 1322.
1321.
noris orbitæ diſtant Quadraturæ.
Poſitâ lineâ Apſiaum in Quadraturis, omnium minimè in
14141324. Syzygiis in conſequentiâ feruntur Apſides ;
celerrimè 1515TAB. XXV.1616fig. 3. tem redeunt in Quadraturis ; & , in boc caſu, in 17171317. 1322. Lunæ revolutione, regreſſus progreſſum ſuperat.
18181321.19191318. 1322.
Dum Tellus in orbitâ transfertur, linea Apſidum ſucceſ-
20201320. ſivè omnes acquirit ſitus reſpectu Solis;
quare plurimis re-
21211325. volutionibus Lunæ ſimul conſideratis progrediuntur Apſides 22221319.&
ex obſervationibus conſtat, in ſpatio circiter octo anno-
rum lineam Apſidum integram peragere revolutionem.
Orbitæ excentricitatem etiam inconſtantem eſſe diximus.

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