1669 | Universal Arithmetick |
p.407 | 17783 | A number is not a multitude, but a unified ratio between quantities |
1687 | Principia Mathematica |
p.12 | 6421 | Newton's four fundamentals are: space, time, matter and force |
p.26 | 15866 | Newton reclassified vertical motion as violent, and unconstrained horizontal motion as natural |
p.38 | 13470 | Mass is central to matter |
p.57 | 15958 | Inertia rejects the Aristotelian idea of things having natural states, to which they return |
p.82 | 17546 | If you changed one of Newton's concepts you would destroy his whole system |
p.83 | 17547 | Newton's idea of force acting over a long distance was very strange |
p.106 | 17008 | You have discovered that elliptical orbits result just from gravitation and planetary movement |
p.125 | 13593 | Newton showed that falling to earth and orbiting the sun are essentially the same |
p.232 | 18079 | Newton developed a kinematic approach to geometry |
p.426 | 16708 | Newton's forces were accused of being the scholastics' real qualities |
Pref | p.41 | 17011 | I suspect that each particle of bodies has attractive or repelling forces |
Preface | p.41 | 17010 | We have given up substantial forms, and now aim for mathematical laws |
1.1.11 Sch | p.86 | 13153 | I am studying the quantities and mathematics of forces, not their species or qualities |
1.II.Schol | p.86 | 17020 | An attraction of a body is the sum of the forces of their particles |
Axioms | p.70 | 17017 | 1: Bodies rest, or move in straight lines, unless acted on by forces |
Axioms | p.71 | 17018 | 2: Change of motion is proportional to the force |
Axioms | p.71 | 17019 | 3: All actions of bodies have an equal and opposite reaction |
Bk 3 Gen Schol | p.90 | 17024 | The elegance of the solar system requires a powerful intellect as designer |
Bk 3 Gen Schol | p.90 | 17025 | If a perfect being does not rule the cosmos, it is not God |
Bk 3 Gen Schol | p.92 | 17027 | Science deduces propositions from phenomena, and generalises them by induction |
Bk 3 Gen Schol | p.92 | 17026 | From the phenomena, I can't deduce the reason for the properties of gravity |
Bk 3 Gen Schol | p.93 | 17028 | Particles mutually attract, and cohere at short distances |
Bk 3 Rule 1 | p.87 | 17022 | We should admit only enough causes to explain a phenomenon, and no more |
Bk 3 Rule 2 | p.87 | 17021 | Natural effects of the same kind should be assumed to have the same causes |
Bk 3 Rule 3 | p.88 | 17023 | I am not saying gravity is essential to bodies |
Def 8 Schol | p.64 | 17012 | Time exists independently, and flow uniformly |
Def 8 Schol | p.64 | 17013 | Absolute space is independent, homogeneous and immovable |
Def 8 Schol | p.65 | 17014 | The place of a thing is the sum of the places of its parts |
Def 8 Schol | p.66 | 17016 | Philosophy must abstract from the senses |
Def 8 Schol | p.66 | 17015 | If there is no uniform motion, we cannot exactly measure time |
I:Schol after defs | p.145 | 14012 | Absolute time, from its own nature, flows equably, without relation to anything external |
Lemma 1 | p.238 | 18082 | Quantities and ratios which continually converge will eventually become equal |
Pref 1st ed | p.173 | 12724 | The aim is to discover forces from motions, and use forces to demonstrate other phenomena |
1692 | Letters to Bentley |
1692.12.10 | p.94 | 15863 | The principles of my treatise are designed to fit with a belief in God |
1692.12.10 | p.95 | 13150 | The motions of the planets could only derive from an intelligent agent |
1693.01.17 | p.99 | 13151 | Not all infinites are equal |
1693.01.17 | p.100 | 8340 | I do not pretend to know the cause of gravity |
1693.02.25 | p.102 | 12178 | That gravity should be innate and essential to matter is absurd |
1693.02.25 | p.103 | 13152 | We can talk of 'innumerable number', about the infinite points on a line |
1693 | Letters to Leibniz 1 |
1693.10.16 | p.109 | 17009 | I won't object if someone shows that gravity consistently arises from the action of matter |
1721 | Queries to the 'Opticks' |
q 31 | p.544 | 16746 | Principles of things are not hidden features of forms, but the laws by which they were formed |