 | Bewick Bridge - 1814 - 622 σελίδες
...this case be acted upon by two equal and contrary forces, it would remain at rest. A body therefore acted upon at the same time by three forces represented in quantity and direction by AC, CD, DA, ie by the three sides of a triangle taken in order, will remain at rest. 1. The converse... | |
 | James Wood - 1818 - 226 σελίδες
...side AD. PROP. V. (53.) 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,... | |
 | William Whewell - 1832 - 572 σελίδες
...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... | |
 | 1836 - 488 σελίδες
...will the number of pairs of forces be limited ? In what condition will a body remain if acted upon by three forces represented in quantity and direction by the three sides of a triangle ? By what will the proportion of three forces which keep a body at rest be represented ? What is any... | |
 | Denison Olmsted - 1838 - 376 σελίδες
...direction, than by a number of forces acting in different directions. 257. By Art. 55. it appears, that a body acted upon at the same time by three forces,...direction by the three sides of a triangle taken in order, will remain at rest. A kite at rest in the air, is commonly mentioned as an example of this, the three... | |
 | Denison Olmsted - 1844 - 618 σελίδες
...direction, than by a number of forces acting in different directions. 269. By Art. 55, it appears, that a body acted upon at the same * time by three forces,...direction by the three sides of a triangle taken in order, will remain at rest. A kite aKrest in the air, is commonly mentioned as an example of this, tithe three... | |
 | Denison Olmsted - 1844 - 610 σελίδες
...direction, than by a number of forces acting in different directions. 269. By Art. 55, it appears, that a body acted upon at the same time by three forces, represented in quantity and direction by (kit three sides of a triangle taken in order, will remain at rest. A kjte at rest in the air, is commonly... | |
 | Denison Olmsted - 1844 - 336 σελίδες
...same instant, the ball will remain at rest. This fact is expressed in the following proposition : If three forces, represented in quantity and direction by the three sides of a triangle, act upon a body at the same time, it will be kept at rest. A kite is seen to rest in the air on this... | |
 | Denison Olmsted, Ebenezer Strong Snell - 1845 - 612 σελίδες
...being 6,) and it falls between C and D. 3. The loss of force is .1341, or about J-ff of the whole. 55. A body acted upon at the same time by three forces, represented m quantity and direction by the three sides of a triangle taken in order, (or by lines parallel to... | |
 | Denison Olmsted - 1846 - 454 σελίδες
...ship forward, while GE will represent the part which is lost by the lateral resistance of the water. 80. Since, resolving the force of the wind after the...parallel to these) will remain at rest, This principle is called the triangle of forces. Since AD (Fig. 11,) represents a force which is equivalent to those... | |
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If three forces acting at a point are in equilibrium they can be represented in magnitude and direction by the three sides of a triangle taken in order. 
