Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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cularem ac ſi ſimul & ſemel in locum interſectionis æquatorum
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motuum illorum, quos feorſim generarent, fuiſſent impreſſi. </
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Globus igitur homogeneus & perfectus non retinet motus plures
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diſtinctos, ſed impreſſos omnes componit & ad unum reducit, &
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quatenus in ſe eſt, gyratur ſemper motu ſimplici & uniformi circa
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axem unicum, inclinatione ſemper invariabili datum. </
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<
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>Sed nec vis
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centripeta inclinationem axis, aut rotationis velocitatem mutare
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poteſt. </
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>Si Globus plano quocunque, per centrum ſuum & cen
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trum in quod vis dirigitur tranſeunte, dividi intelligatur in duo he
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miſphæria; urgebit ſemper vis illa utrumque hemiſphærium æqua
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liter, & propterea Globum, quoad motum rotationis, nullam in
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partem inclinabit. </
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<
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>Addatur vero alicubi inter polum & æquato
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rem materia nova in formam montis cumulata, & hæc, perpetuo
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conatu recedendi a centro ſui motus, turbabit motum Globi, fa
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cietque polos ejus errare per ipſius ſuperficiem, & circulos circum
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ſe punctumque ſibi oppoſitum perpetuo deſcribere. </
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>Neque corrige
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tur iſta vagationis enormitas, niſi locando montem illum vel in polo
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alterutro, quo in Caſu (per Corol. </
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<
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>21) Nodi æquatoris progredien
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tur; vel in æquatore, qua ratione (per Corol. </
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>20) Nodi regredi
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entur; vel denique ex altera axis parte addendo materiam novam,
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qua mons inter movendum libretur, & hoc pacto Nodi vel pro
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gredientur, vel recedent, perinde ut mons & hæcce nova materia
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ſunt vel polo vel æquatori propiores. </
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LIBER
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PRIMUS.</
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PROPOSITIO LXVII. THEOREMA XXVII.
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Poſitis iiſdem attractionum legibus, dico quod corpus exterius
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S,
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circa interiorum
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P, T
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commune gravitatis centrum
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C,
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radiis
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ad centrum illud ductis, deſcribit areas temporibus magis pro
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portionales & Orbem ad formam Ellipſeos umbilicum in centro
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eodem habentis magis accedentem, quam circa corpus intimum
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& maximum
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T,
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radiis ad ipſum ductis, deſcribere potest.
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<
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>Nam corporis
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S
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attractiones verſus
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T
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&
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P
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componunt ipſius at
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tractionem abſolutam, quæ magis dirigitur in corporum
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T
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&
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P
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com
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mune gravitatis centrum
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C,
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quam in corpus maximum
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T,
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quæque
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quadrato diſtantiæ
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SC
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magis eſt proportionalis reciproce, quam
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quadrato diſtantiæ
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ST:
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ut rem perpendenti facile conſtabit. </
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