The spelling "Kabbalah" is used in reference to traditional Hebrew mysticism, and "Cabala" in reference to the Christian overlays of the same.
The word "Kabbalah" is derived from the Hebrew root "to receive, to accept", and in many cases is used synonymously with "tradition".
But Eliphas Levi, whose influence on the Order of the Golden Dawn and on Thelema was great, rooted his Transcendental Magic (Dogme et Rituel de la Haute Magie) in a Qabalistic tradition.
It was out of this eclectic mixture of Christianity, Hermeticism, Neoplatonism, Kabbalah and Renaissance humanism that Hermetic Kabbalah was born.
Over the centuries it has developed in many directions, with strong influences from Freemasonry and Rosicrucianism, but continued input from Jewish Kabbalah has meant that many variants are not so different in spirit from the original.
In this century we first see documents refering to Hermes Trismegistus, the "father" of Hermetic Magic.
At the time it was believed that the Corpus really was the religion of the ancient Egyptians, and that Hermes was a kind of Egyptian Moses.