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Contents
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§ 167. | Chief divisions of his work : astronomy, optics, pure mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
211 |
§ 168. | Optical discoveries : the reflecting telescopes of Gregory and Newton : the spectrum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
211 |
§ 169. | Newton's description of his discoveries in 1665-6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
212 |
§ 170. | The beginning of his work on gravitation : the falling apple : previous contributions to the subject by Kepler, Borelli, and Huygens . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
213 |
§ 171. | The problem of circular motion : acceleration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
214 |
§ 172. | The law of the inverse square obtained from Kepler's Third Law for the planetary orbits, treated as circles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
215 |
§ 173. | Extension of the earth's gravity as far as the moon : imperfection of the theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
217 |
§ 174. | Hooke's and Wren's speculations on the planetary motions and on gravity. Newton's second calculation of the motion of the moon : agreement with observation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
221 |
§ 175-6. | Solution of the problem of elliptic motion : Halley's visit to Newton . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
221 |
§ 177. | Presentation to the Royal Society of the tract De Motu : publication of the Principia . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
222 |
§ 178. | The Principia : its divisions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
223 |
§§ 179-80. | The Laws of Motion: the First Law: acceleration in its general form : mass and force : the Third Law . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
223 |
§ 181. | Law of universal gravitation enunciated . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
227 |
§ 182. | The attraction of a sphere . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
228 |
§ 183. | The general problem of accounting for the motions of the solar system by means of gravitation and the Laws of Motion: perturbations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
229 |
§ 184. | Newton's lunar theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
230 |
§ 185. | Measurement of the mass of a planet by means of its attraction of its satellites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
231 |
§ 186. | Motion of the sun : centre of gravity of the solar system : relativity of motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
231 |
§ 187. | The non-spherical form of the earth, and of Jupiter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
233 |
§ 188. | Explanation of precession . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
234 |
§ 189. | The tides : the mass of the moon deduced from tidal observations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
235 |
§ 190. | The motions of comets : parabolic orbits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
237 |