Archaios is not an English word, it is Greek. Here is what the Related Link (below) has to say about it: "Our word 'archaic' derives from the Greek archaios, meaning simply 'old' or 'ancient.'"
arch-, arche- = chief; leader
The ancient Greek word arche (αρχή) means "beginning".
The prefix 'matri-' relates to mothers or motherhood, while 'arch-' pertains to leaders or rulers. For example, matriarchy refers to a society led by women, and archbishop refers to a high-ranking clergy member in some Christian denominations.
someone who builts
Patriarch comes from Latin. ~Pater meaning Father and Arch meaning over or superior
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what is the meaning of kneeling arch back
The Greek root for "matri" is "mater" meaning mother, while the Latin root is "matr" also meaning mother. The Greek root for "arch" is "archos" meaning ruler or chief, while the Latin root is "archi" meaning chief or principal.
Rule/govern
what is the meaning of kneeling arch back
Greek arche, main or principal
opposing
The Greek root ARKHE means [beginning, foundation]. Archaeology (study of beginnings); architecture (study of basic structures); architectonics (the basic forces that hold a thing together); menarche (first menstruation).