...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...

...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...

...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...

...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...

...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...

...will express the proportion of their densities ? 2. Prove that three forces are in equilibrio when they can be represented in magnitude and direction by the three sides of a triangle taken in order. 3. What are the two essential requisites of a good balance ? By what adjustments are these secured...

...actual velocity of the particle both in magnitude and direction. 15. Also if we suppose three velocities represented in magnitude and direction by the three sides of a triangle taken in order, AC, CB, BA, (not AB) to be simultaneously impressed upon a particle at rest, then the particle will...

...and of the farthest 2° 45', find the height of the hill. 4. If three forces, acting on a point, are represented in magnitude and direction by the three sides of a triangle, taken in order, they will keep the point at rest. angle which it makes with the directions of the forces are 20° and...

...cone topples over, supposing it to be prevented from sliding. (12.) SEHIES II. 13. If three forces represented in magnitude and direction by the three sides of a triangle taken in order, act upon a point, they will keep it at rest. Assuming the law of the parallelogram of forces, prove...

...each other, what is the numerical measure of the Resultant ? (7) In Prop. ix. how can three forces, represented in magnitude and direction by the three sides of a triangle, act on a point ? Does direction always mean the line of action ? (8) Is it possible for three forces,...