The Rectilinear Rise and Fall of Bodies
We simplify Section 3 of Principia Mathematica by Isaac Newton
Centripetal Force
Proposition 32 Problem 34
Hyperbola
Proposition 33 Theorem 9
Parabola
Proposition 34 Theorem 10
Semi-circles
Proposition 36-38 Problem 25-26
Semi-circles
Proposition 39 Problem 27