Philosophiæ naturalis principia mathematica autore Js. Newton ...

About this Item

Title
Philosophiæ naturalis principia mathematica autore Js. Newton ...
Author
Newton, Isaac, Sir, 1642-1727.
Publication
Londini :: Jussu Societatis Regiae ac Typis Josephi Streater ...,
1687.
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Subject terms
Mechanics -- Early works to 1800.
Celestial mechanics -- Early works to 1800.
Link to this Item
http://name.umdl.umich.edu/A52251.0001.001
Cite this Item
"Philosophiæ naturalis principia mathematica autore Js. Newton ..." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A52251.0001.001. University of Michigan Library Digital Collections. Accessed June 11, 2024.

Pages

Prop. LXXXIV. Prob. XLIII.
Invenire vim qua corpusculum, extra centrum Sphaerae in axe segmen∣ti cujusvis locatum, attrahitur ab eodem segmento.

A segmento EBK trahatur corpus P (Vide Fig. Prop. 79.80.81.) in ejus axe ADB locatum. Centro P intervallo PE

Page 213

describatur superficies Sphaerica EFK, qua distinguatur segmen∣tum in partes duas EBKF & EFKD. Quaeratur vis partis prioris per Prop. LXXXI. & vis partis posterioris per Prop. LXXXIII.; & summa virium erit vis segmenti totius EBKD.Q.E.I.

Scholium.

Explicatis attractionibus corporum Sphaericorum, jam perge∣re liceret ad leges attractionum aliorum quorundam ex particu∣lis attractivis similiter constantium corporum; sed ista particula∣tim tractare minus ad institutum spectat. Suffecerit Propositio∣nes quasdam generaliores de viribus hujusmodi corporum, de{que} motibus inde oriundis, ob eorum in rebus Philosophicis aliqua∣lem usum, subjungere.

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