The eye in the triangle is an ancient symbol of God/Divine vision (I think there is one in an ancient stained glass window in Lincoln Cathedral or York Minster) was appropriated by the Freemasons, (a branch is called York Rite) later esoteric versions of which linked it to the "Eye of Horus" and Egypt. Right wing conspiracists demonised the various Freemasons - anti Catholic in some countries - from the 18th century on. The US founders included quite a few masons who were also Deists or Unitarians - religious positions quite close to liberal Judaism, I think it is suggested that the commissioner/designer of the dollar bill was referring to the promise of the American Revolution as a new model for the world. The latin phrase is often translated as "New Order Of The Ages" and links to both the promise of the French and American Revolutions and the "General Reformation" of the earlier Rosicrucians, whose alchemical writings fed into early aristocratic freemasonry in England and France. Freemasons are now seen as either establishment or "mafia of the mediocre " but the roots of extreme right fear of them was in the role of Freemasons in promoting anti-clericalism, liberalism, republicanism and science as opposed to the monarchical and theocratic regimes of the 18th century. By the late 19th early 20th century there was already a vast paranoid literature linking all those hated by monarchists and religious reactionaries - liberals, masons, jews, socialists, anarchists, republicans, feminists, atheists - all seen as "satanic".
