User talk:46.208.10.165

Point-contact versus order of tangency.
Where this page talks about order of contact, it specifically refers to order of tangency. If two plane curves have tangency order n, they have point-contact order n+1. So if they have ordinary tangency, that is tangency order 1, then they are said have point-contact order 2 and so on. Referring to 'order of tangency' as 'order of contact' is not supported by the references cited. Bruce and Giblin use the term 'order of contact' to specifically refer to point-contact, as does Rutter though he tries to 'largely supress' using 'order of contact' and use 'point-contact' to avoid confusion with 'order of tangency'). Porteuous favours the Ak notation.