Philosophiæ naturalis principia mathematica autore Js. Newton ...

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Title: Philosophiæ naturalis principia mathematica autore Js. Newton ...
Author: Newton, Isaac, Sir, 1642-1727.
Publication: Londini :: Jussu Societatis Regiae ac Typis Josephi Streater ...,; 1687.
Rights/Permissions: To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.
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

Lemma II.

Motus autem Terrae totius circa axem illum, ex motibus particularum omnium compositus, erit ad motum annuli circa axem eundem, in ratione composita ex ratione materiae in Terra ad materiam in annulo, & ratione trium quadratorum ex arcu quadrantali circuli cujuscunque, ad duo qua∣drata ex diametro; id est in ratione materiae ad materiam & numeri 925275 & 1000000.

Est enim motus Cylindri circa axem suum immotum revolven∣tis, ad motum Sphaerae inscriptae & simul revolventis, ut quaeli∣bet quatuor aequalia quadrata ad tres ex circulis sibi inscriptis: & motus Cylindri ad motum annuli tenuissimi, Sphaeram & Cylin∣drum ad communem eorum contactum ambientis, ut duplum materiae in Cylindro ad triplum materiae in annulo; & annuli mo∣tus iste circa axem Cylindri uniformiter continuatus, ad ejusdem motum uniformem circa diametrum propriam, eodem tempore periodico factum, ut circumferentia circuli ad duplum diametri.