An Elementary Treatise on Theoretical Mechanics by J.H. Jeans, M.A., F.R.S

By J.H. Jeans, M.A., F.R.S

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Note on Section IV . . . . . . . . . . . . . . . . . . . . . . . 1. Notice prefixed to the published version of MacLaurin’s essay (translation) . . . . . . . . . . . . . . . . . . . . . . . . 2. MacLaurin’s digrams from [1] . . . . . . . . . . . . . . . 3. Extract from ’sGravesande’s paper [44]: material between the statement of Proposition IX and its proof (translation) . . . 4. Response by ’sGravesande to MacLaurin’s example in the second paragraph of Article I of Section III (translation) .

Ex modo dictis etiam intelligi potest ratio congruitatis aquae cum ligno, vitro, aliisque corporibus, et argenti vivi cum iisdem incongruitatis; ac pari facilitate omnia reliqua fluidorum congruitatis ac incongruitatis phaenomena solvuntur. Hinc denique patet, quare arenulae, aliaque corpuscula nonnulla, aqua specifice graviora, in ea tamen non demergantur: mutua scilicet aquae particularum attractio, exiguam licet, aliquam tamen producit tenacitatem, cui superandae par non est istorum corpusculorum gravitas.

Secundum eos, Sol rotando circa axem suum fluidum quoddam subtile, eique innatantes primarios Planetas circumfert; qui singuli vortices quoque suos habent, in quorum nonnullis Secundarii deferuntur. Sed primo, cum Planetae circulos non describant, in vorticibus infinite extensis, aut vase sphaerico inclusis, circumferri non possunt; si autem vorticis limites aliter disponantur, Planetae tanto magis a via circulari deviabunt, quanto longius a centro distant; atque eorum omnium Aphelia in eadem coeli regione reperientur: cum contra Planetarum inferiorum excentricitas longe major sit quam superiorum; Martis Venerisque aphelia propemodum opposita sint; eorum enim distantia in principio Virginis est fere sesquialtera eorundem distantiae in principio Piscium.

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