...If a body, at rest, he acted upon at the same time by three forces which are represented in quantity and direction by the three sides of a triangle, taken in order, it will remain at rest. Let AB} BC, and CA, represent the quantities and AC and CA-, but AC and CA,...

...they must be all in the same plane. POISSON, §18. 40. If three forces applied to the same point are represented in magnitude and direction by the three sides of a triangle, they are in equilibrio round it. The converse of this is also true ; therefore, if three forces be...

...angle contained by the directions of the other two. 40. If three forces applied to the same point are represented in magnitude and direction by the three sides of a triangle, they are in equilibrio round it. 39. When three forces are in equilibrio round a point, they must be...

...material point be kept in equilibrio by the simultaneous action of three forces, those forces will be represented in magnitude and direction by the three sides of a triangle respectively parallel to the directions of the forces. For, when a system of forces sustains a point...

...moments of the components, taken with their proper signs. 2. If three forces, represented in quantity and direction by the three sides of a triangle taken in order, act upon a point, they will be in equilibrium ; prove this, by resolving the forces in the direction...

...forces represented by WR, RS are equivalent to the force represented by WS. CoE. 2. Any three forces represented in magnitude and direction by the three sides of a triangle, taken in order, as WR, RS, SW, will keep a point at rest. Let a boat B, fig. 1, be kept at rest, being drawn by three...

...representing the given force. A body acted upon at the same time by three forces represented in quantity and direction by the three sides of a triangle taken in order, (or by lines parallel to these three,) will remain at rest. If a body be kept at rest by three forces,...

...keel to overcome it. 81. A body acted upon at the same time by three forces, represented in quantity and direction by the three sides of a triangle taken in order, (or by lines parallel to these) will remain at rest. This principle is call the triangle of forces....

...KEEP A BODY AT REST. 55. A body acted upon at the same time by three forces, represented in quantity and direction by the three sides of a triangle taken in order, (or by lines parallel to these,) will remain at rest. Since AD (Fig. 30.) is equivalent to AB and AC,...

...and AC are the sides. Wherefore, " If the adjacent sides, &c." a. ED 29- PROP. ix. If three forces represented in magnitude and direction by the three sides of a triangle [when taken in order], act on a point, they will keep it at rest. r J l It, •> j 'Jlf! OLet the sides...