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