The Motion of Bodies in Given Surfaces

We simplify Book 2 of Principia Mathematica by Isaac Newton.

Proposition 46 Problem 32

Finding the orbits from the focus given

Newton

Proposition 47-48 Theorem 15-16

Finding the orbits from the focus given

Newton

Proposition 49 Theorem 17

Finding the orbits from the focus given

Newton

Proposition 50 Theorem 33

Finding the orbits from the focus given

Newton

Proposition 51 Theorem 18

Finding the orbits from the focus given

Newton

Proposition 52 Problem 34

Finding the orbits from the focus given

Newton

Proposition 53 Theorem 35

Finding the orbits from the focus given

Newton

Proposition 54 Problem 30

Finding the orbits from the focus given

Newton

Proposition 56 Theorem 37

Finding the orbits from the focus given

Newton