The Moon and the Planets

We simplify Book 3 of Principia Mathematica by Isaac Newton

1: Rules of Reasoning

Newton

2: Phenomena

Newton

Propositions 1-3

The Attraction of Bodies

Newton

Proposition 4 Theorem 4

The Moon's Gravitation

Newton

Proposition 5 Theorem 5

The Moon's Gravitation

Newton

Proposition 8 Theorem 8

The Moon's Gravitation

Newton

Propositions 9-10

Newton

Propositions 11-12

Newton

Propositions 13

The Planets Move in Ellipses

Newton

Propositions 14

The Orbits of Planets

Newton

Propositions 15-17

The Orbits of Planets

Newton

Propositions 18-19

Newton

Proposition 19 Problem 3

The orbits of Planets

Proposition 20 Problem 4

Weights on Earth

Proposition 21 Theorem 17

Weights on Earth

The Moons of Jupiter and Saturn

Proposition 25 Problem 6

The Motions of the Moon

Proposition 24 Theorem 19

The Tides of the Sea

Proposition 26 Problem 7

The Orbit of the Moon

Newton

Proposition 27 Problem 8

Projectivle

Newton

Find the variation of the moon

Proposition 30 Problem 11

Find the variation of the moon

Projectivle

Proposition 32 Problem 13

Projectivle

Newton

Proposition 33 Problem 14

The Moon's Nodes

Newton

Proposition 34 Problem 15

Syzygies

Newton

Proposition 35 Problem 16

The Moon's Orbit

Newton

Proposition 35 Problem 16

The Force of the Sun to Move the Sea

Newton

Proposition 37 Problem 18

The Force of the moon to move the sea

Newton

Proposition 38 Problem 19

The Shape of the Moon

Newton

Proposition 39 Problem 20

The Precession of the Equinoxes

Newton

Proposition 39b

The Comets

Newton

The Movement of Comets

Newton

General Scholium

General Scholium