And lo, th’ all-potent goddess ~NATURE~ takes With her own hand thy great, thy just reward Of immortality; aloft in air See she displays, and with eternal grasp Uprears the trophies of great ~NEWTON~’s fame. R. GLOVER. THE ~CONTENTS.~ _INTRODUCTION concerning Sir_ ~ISAAC NEWTON~’_s method of reasoning in philosophy_ pag. 1 BOOK I. ~CHAP. 1.~ _Of the laws of motion_ _The first law of motion proved_ p. 29 _The second law of motion proved_ p. 29 _The third law of motion proved_ p. 31 ~CHAP. 2.~ _Further proofs of the laws of motion_ _The effects of percussion_ p. 49 _The perpendicular descent of bodies_ p. 55 _The oblique descent of bodies in a straight line_ p. 57 _The curvilinear descent of bodies_ p. 58 _The perpendicular ascent of bodies_ ibid. _The oblique ascent of bodies_ p. 59 _The power of gravity proportional to the quantity of matter in each body_ p. 60 _The centre of gravity of bodies_ p. 62 _The mechanical powers_ p. 69 _The lever_ p. 71 _The wheel and axis_ p. 77 _The pulley_ p. 80 _The wedge_ p. 83 _The screw_ ibid. _The inclined plain_ p. 84 _The pendulum_ p. 86 _Vibrating in a circle_ ibid. _Vibrating in a cycloid_ p. 91 _The line of swiftest descent_ p. 93 _The centre of oscillation_ p. 94 _Experiments upon the percussion of bodies made by pendulums_ p. 98 _The centre of percussion_ p. 100 _The motion of projectiles_ p. 102 _The description of the conic sections_ p. 106 _The difference between absolute and relative motion, as also between absolute and relative time_ p. 112 ~CHAP. 3.~ _Of centripetal forces_ p. 117