Applied Mechanics and Graphic Statics
The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

Arithmetical sum of the resolved parts of the forces in the direction
Algebraic sum of the resolved parts of the forces in the direction
Difference of the forces multiplied by cosine θ°
Sum of the forces multiplied by the tangent θ°

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

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

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