The motion of bodies
                                Date
                            
                            
                                10 December 1684
                            
                            
                        
                            
                            
                            
                                Creator
                            
                            
                                Unknown, Artist
                            
                            
                        
                            
                            
                            
                                Object type
                            
                            
                            
                        
                            
                            
                            
                                Archive reference number
                            
                            
                            
                        
                            
                            
                            
                                Manuscript page number
                            
                            
                                p174
                            
                            
                        
                            
                            
                            
                                Material
                            
                            
                            
                        
                            
                            
                            
                                Dimensions
                            
                            
                                height (page): 376mm
width (page): 242mm
                            
                        
                            
                            
                            width (page): 242mm
                                Subject
                            
                            
                            
                        
                            
                            
                            
                                Description
                            
                            
                                Diagram in a copy of one of Newton's earliest drafts (now presumed lost) 'on motion' (1684), which became Book 1 of Principia mathematica philosophiae naturalis (1687).  
Diagram for problem 1: A body orbits in the circumference of a circle: the law of centripetal force tending to some point in its circumference is sought. Compare Principia (1687), proposition 7, problem 2.
This is copied from RBO/6/221.
                            
                            
                        
                            
                            
                            Diagram for problem 1: A body orbits in the circumference of a circle: the law of centripetal force tending to some point in its circumference is sought. Compare Principia (1687), proposition 7, problem 2.
This is copied from RBO/6/221.
                                Object history
                            
                            
                                At the meeting of the Royal Society on 10 December 1684, 'Mr. Halley gave an account, that he had lately seen Mr. Newton at Cambridge, who had shewed him a curious treatise, De Motu; which upon Mr. Halley's desire, was, he said, promised to be sent to the Society to be entered upon their register. Mr. Halley was desired to put Mr. Newton in mind of his promise for the securing his invention to himself till such time as he could be at leisure to publish it. Mr. Paget was desired to join with Mr. Halley' (Birch 4:347).
This is a copy of the tract sent via Edward Paget to Halley, which contained Newton's demonstration that an elliptical orbit entails an inverse-square force to one focus. From these insights, Newton went on to develop his Principia mathematica philosophiae naturalis. The original draft is presumed lost.
                            
                        
                            
                            
                            This is a copy of the tract sent via Edward Paget to Halley, which contained Newton's demonstration that an elliptical orbit entails an inverse-square force to one focus. From these insights, Newton went on to develop his Principia mathematica philosophiae naturalis. The original draft is presumed lost.
                                Related fellows
                            
                            
                                Isaac Newton (1642 - 1727, British) , Natural philosopher
                            
                            
                        
                            
                            
                            
                                Associated place