The Moon and the Planets

We simplify Book 3 of Principia Mathematica by Isaac Newton

1: Rules of Reasoning

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2: Phenomena

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Propositions 1-3

The Attraction of Bodies

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Proposition 4 Theorem 4

The Moon's Gravitation

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Proposition 5 Theorem 5

The Moon's Gravitation

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Proposition 8 Theorem 8

The Moon's Gravitation

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Propositions 9-10

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Propositions 11-12

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Propositions 13

The Planets Move in Ellipses

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Propositions 14

The Orbits of Planets

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Propositions 15-17

The Orbits of Planets

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Propositions 18-19

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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

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Proposition 27 Problem 8

Projectivle

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Find the variation of the moon

Proposition 30 Problem 11

Find the variation of the moon

Projectivle

Proposition 32 Problem 13

Projectivle

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Proposition 33 Problem 14

The Moon's Nodes

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Proposition 34 Problem 15

Syzygies

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Proposition 35 Problem 16

The Moon's Orbit

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Proposition 35 Problem 16

The Force of the Sun to Move the Sea

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Proposition 37 Problem 18

The Force of the moon to move the sea

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Proposition 38 Problem 19

The Shape of the Moon

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Proposition 39 Problem 20

The Precession of the Equinoxes

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Proposition 39b

The Comets

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