Applied Mechanics and Graphic Statics
The necessary condition of equilibrium of a body is:

Algebraic sum of vertical components of all the forces must be zero
Algebraic sum of the moments of the forces about a point must be zero
Algebraic sum of horizontal components of all the forces must be zero
All (A), (B) and (C)

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Applied Mechanics and Graphic Statics
A point subjected to a number of forces will be in equilibrium, if

Sum of resolved parts in any two directions at right angles, are both zero
Algebraic sum of the moments of the forces about the point is zero
Two resolved parts in any two directions at right angles are equal
Algebraic sum of the forces is zero

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