Applied Mechanics and Graphic Statics
Parallelogram Law of Forces states, "if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by

Its longer side
The diagonal of the parallelogram which does not pass through the point of intersection of the forces
Its shorter side
The diagonal of the parallelogram which passes through the point of intersection of the forces

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

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