A-CH – ‘fraternity, commonality, centralization’

…all ideas of equilibrium, equality, identity, fraternity…Brother, kinsman, associate, neighbour: the common hearth where all assemble. (The Hebraic Tongue Restored, Fabré d’Olivet, p. 291)

ACH This root, composed of the signs of power and of assimilation, produces the idea of every compression, every effort that the being makes upon himself or upon another, to fix him or to be fixed. It is a tendency to make compact, to centralize. In the literal acceptation it is the action of restraining, or accepting. In the figurative and hieroglyphic sense it is the symbol of concentric movement tending to draw near. The contrary movement is expressed by the opposed root הל or אל. (The Hebraic Tongue Restored, Fabré d’Olivet, p. 293)