The Macedonian royal house was called "Argeads" or "Temenidae". According to the tradition, the founder of the royal house Perdiccas - even if the name of the founder differs in reference with the ancient source used - along with his brothers, the "Temenidae" came to the place called Macedonia from the Greek city of Argos (southern Greece). These Temenidae were descendants of Heracles, through Temenus, thus they were called also 'Heracleids'.
Since the time of Alexander I, Macedonian kings participated in Olympic games, which as we all know only Greeks could take part. The Argive origin of the Macedonian royal house was well-attested and widely believed both from Macedonians, as well as the rest of Greeks.