How to exchange a secret key over an insecure network (EC-Diffie-Hellman algorithm)

Good one! Thanks for the nice explanation. Just one question - here - https://habr.com/en/post/705832/#:~:text=have sent the-,private,-keys to each - shouldn't it be "public" instead of "private" as they share their public keys which are then multiplied by their corresponding private keys.