Arabesque à la Hauteur

Arabesque at the height (90 degrees).  A term in the French School.  Also see Arabesque Allongée.

Arabesque à la Demi-hauteur

Arabesque at half-height (45 degrees).  A term of the French School.

Angle of the Leg in the Air

"In the Russian School the angle formed by the legs in relation to the vertical axis of the body is measured in general terms.  For example, 45 degrees for half height (Demi-Hauteur), 90 degrees for a horizontal position with the toe at hip height (à la Hauteur) and 135 degrees for any position considerably above hip height."

The French School refers to these angles as Positions Soulevées.  But also uses the same terminology, à la Demi-Hauteur and à la Hauteur.  This school also adds Piqué à Terre which is with the toes touching the ground.

See my post about en l'air for a great picture of these angles.