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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. "
An Introduction to Natural Philosophy: Designed as a Text Book, for the Use ... - Seite 46
von Denison Olmsted - 1838
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A Treatise on Mechanics: Intended as an Introduction to the Study of Natural ...

Bewick Bridge - 1814 - 622 Seiten
...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...
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The Principles of Mechanics: Designed for the Use of Students in the University

James Wood - 1818 - 226 Seiten
...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,...
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First Principles of Mechanics: With Historical and Practical Illustrations

William Whewell - 1832 - 572 Seiten
...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...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 Seiten
...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...
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A Compendium of Natural Philosophy: Adapted to the Use of the General Reader ...

Denison Olmsted - 1837 - 374 Seiten
...and therefore requires more or less of the force that acts parallel to the keel to overcome it. 81. A body acted upon at the same time by three forces,...(or by lines parallel to these) will remain at rest. This principle is call the triangle of forces. Since AD (Fig. 9.) represents a force which is equivalent...
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An Introduction to Natural Philosophy: Designed as a Text Book, for the Use ...

Denison Olmsted - 1844 - 618 Seiten
...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...
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Rudiments of Natural Philosophy and Astronomy: Designed for the Younger ...

Denison Olmsted - 1844 - 336 Seiten
...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...
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A Compendium of Natural Philosophy: Adapted to the Use of the General Reader ...

Denison Olmsted - 1846 - 454 Seiten
...and therefore requires more or less of the force that acts parallel to the keel to overcome it. 81. A body acted upon at the same time by three forces,...(or by lines 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...
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An Introduction to Natural Philosophy: Designed as a Text Book for the Use ...

Denison Olmsted - 1850 - 624 Seiten
...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 the three Hides of a triangle taken in order, will remain at rest. A kite at rest in the air, is commonly mentioned...
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A Compendium of Natural Philosophy: Adapted to the Use of the General Reader ...

Denison Olmsted - 1851 - 492 Seiten
...and therefore requires more or less of the force that acts parallel to the keel to overcome it. 67. A body acted upon at the same time by three forces,...quantity and direction by the three sides of a triangle tafcen in order, (or by lines parallel to tliese.) will remain at rest. This principle is called the...
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