The Rectilinear Rise and Fall of Bodies

We simplify Section 3 of Principia Mathematica by Isaac Newton

Proposition 32 Problem 34

Centripetal Force

Newton

Proposition 33 Theorem 9

Hyperbola

Newton

Proposition 34 Theorem 10

Parabola

Newton

Proposition 36-38 Problem 25-26

Semi-circles

Newton

Proposition 39 Problem 27

Semi-circles

Newton