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

Ponamus Tellurem fluidam, memoratam ſphæroidem ac-
quiret figuram ; ſi cohæreant partes verſus centrum, non co ſitus aliarum mutari poteſt, neque mutabitur, ſi in quibus-
dam locis partes ad ſuperſiciem uſque cohæreant inter ſe; ita
ut Maris ſuperficies neceſſario acquirat ſphæroidem figuram
ad Polos depreſſam. Cùm verò, parum tantùm, ubique lit-
tora ſupra Maris ſuperficiem, eleventur, continentem eandem
ſequi figuram extra dubium eſt.

677.1.

1365.
1362.

Ut nunc hanc menſuremus elevationem, id eſt quantum
diameter Æquatoris, ſuperet Axem, ad motum Telluris cir-
ca hunc in ſpatio 23 ho. 56′. 4″. attendendum eſt; & ſequen- ti methodo, poſitâ Tellure homogeneâ computatio inſtitui-
tur.

677.1.

960.

Telluris periſeria eſt pedum Rhenolandicorum 128202185. ;
ideò in uno minuto ſecundo temporis, punctum Æquatoris per-
currit pedes 1488. ; cujus arcus ſinus verſus eſt pedum o, 054,
ſpatium quod in tali tempore ex vi centriſugâ à corpore per-
curri poteſt.

677.1.

1366.

Gravitate corpus, in uno minuto ſecundo, ut antea jam
vidimus, cadendo percurrit pedes 15, 607; Sed hæc experi-
menta inſtituta ſuere ad diſtantiam 48. gr. ab Æquatore E e,
in pnncto A; vis centriſuga in E eſt ad vim centriſugam
in A, ut CE, aut CA, nam parum admodum differunt hæ
lineæ, ad AB; ſit vis hæ centrifuga Ab; ductâ perpen-
diculari ba ad CA continuatam, relolvatur vis per A b, in
duas per A a & ab; illâ ſolâ minuitur gravitas, & eſt Ab ad vim illam minuentem, ut CA ad AB; propter ſimilia trian-
gula rectangula, Aba, & ABC, habentia in A angulos
oppoſitos ad verticem æquales; eſt ideò vis centrifuga in Æ
quatore, qua corpus in minuto ſecundo percurrit O, 054; ad
vim, gravitatem minuentem in A, in ratione duplicatâ
radii AC ad AB, co-ſinum latitudinis AE, 48. gr. ; ita ut ex
hac vi minuente corpus in uno minuto ſecundo percurrat O, 0243. ;
quare, ſi Tellus quieſceret cadendo non percurreret pedes 15, 607. ,
ſed pedes 15, 632; qua gravitate corpus ſub Polis cadit, quia
puncta hæc non moventur. Ad Æquatorem vi centrifugâ per-
currit corpus O, 054. & tantum cadit, in eodem tempore ab

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