 | William John Macquorn Rankine - 1866 - عدد الصفحات: 376
...two forces, A and B. In symbols, let A, B, and C, be the forces ; then, Fig. 64. 0;AB:BC:CB::C:A:B. Each of the three forces is equal and opposite to the resultant of the other two ; and eacli pair of forces are equal and opposite to the components of the third. Hence this rule serves... | |
 | William John Macquorn Rankine - 1866 - عدد الصفحات: 356
...the angles between their directions; then sin BOC : sin COA : sin A 0 B : : A : B : C. Eacli of those three forces is equal and opposite to the resultant of the other two. RULE VI. — To find the resultant of any number (Fv F2, F3, ifce., fig. 57) of forces in different... | |
 | William John Macquorn Rankine - 1873 - عدد الصفحات: 338
...of the other two forces, A and B. In symbols, let A, B, and C, be the forces; then, Fig. 64. Eacli of the three forces is equal and opposite to the resultant...given force into two parallel components, acting in givea lines in the same plane. RULE XX. — To find the relative proportions of four parallel forces... | |
 | William John Macquorn Rankine - 1873 - عدد الصفحات: 620
...angles between their directions; then • sin BOC : sin COA : sin AOB : : A : B : C. Each of those three forces is equal and opposite to the resultant of the other two. III. Polygon of Forces. — To find the resultant of any number (Fj, F,, F3, &c., fig. 224), of forces... | |
 | George Wightwick - 1875 - عدد الصفحات: 394
...the angles between their directions ; then, Sin BAC : sin CAD : sin DAB : : P : R : Q. Each of these forces is equal and opposite to the resultant of the other two; or if three forces as above keep a point in equilibrium, each force is proportional to the sine of... | |
 | James Andrew Blaikie - 1878 - عدد الصفحات: 184
...Thus the three forces, P, Q, and R in the adjoining figure are in equilibrium. Since any one of these three forces is equal and opposite to the resultant of the other two, we may apply the equations of § 49 to find the resultant of parallel forces acting in opposite directions.... | |
 | William John Macquorn Rankine - 1880 - عدد الصفحات: 620
...The direction of the middle force, C, is contrary to that of the other two forces, A and B. F'g- 230. In symbols, let A, B, and C be the forces; then, A...components acting in given lines in the same plane. III. To find the relative proportions of four parallel forces which balance each other, not acting... | |
 | William John Macquorn Rankine - 1880 - عدد الصفحات: 688
...force, C, is contrary to that of the other two forces, A and B. Fig. 280. A + B + C=0;AB:BC:CA::C:A:R Each of the three forces is equal and opposite to...serves to resolve a given force into two parallel componrijt>3 acting in given lines in the same plane. III. To find the relative proportions of f^-or... | |
 | W. J. M. Rankine - 1883 - عدد الصفحات: 666
...of the other two forces, A and B. Fig- "<>• In symbols, let A, B, and C be the force*; then, A+B + C = 0;AB:BC:CA::C:A:B. Each of the three forces is...components acting in given lines in the same plane. III. To find the relative proportions of four parallel forces which balance each other, not acting... | |
 | William John Macquorn Rankine - 1883 - عدد الصفحات: 454
...the angles between their directions; then sin B 0 C : sin COA : sin AOB : : A : B : C. Each of those three forces is equal and opposite to the resultant of the other two. RULE VI. — To find the resultant of any number (Fv F2, F3, &c., fig. 57) of forces in different directions,... | |
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Each of the three forces is equal and opposite to the resultant of the other two; and each pair of forces are equal and opposite to the components of the third. Hence this rule serves to resolve a given force into two parallel components acting in given... 
