Derive formulae for arcs and curves

This project is a pure mathematics project. It involves deriving formulae for coordinates on an arc based on different inputs and a starting point coordinate. For a curve, the parameters can be a 1. Two of Chord Distance, Chord Angle ( also called Delta or Angle ) , Arc Length and Radius 2. One of Chord Direction , Radial Direction or Tangent Direction 3. Side - Side where the center point is located based on the previous segment For a tangent curve the parameters can be 1. Two of Chord Distance, Chord Angle ( also called Delta or Angle ) , Arc Length and Radius 2. Side - Side where the center point is located based on the previous segment All formulae have to be done using basic math functions that can be found in coding libraries . Please contact me if you need additional information