I understand that the public key
q is generated by the point addition of
g (some secp256 k1 constant)
u times such that
u is a big number (private key). This process can be simplified in this diagram below.
Hence the formula follows
But why cant I use this diagram below and trace back the public key point to the point of the private key by following the tangents back to the original point. I'm sure I could do this in desmos-graphing or something using some pretty simple linear algebra.