Vectors and Rotors: With ApplicationsE. Arnold, 1903 - 204 σελίδες |
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Σελίδα xiii
... Parallel rotors only a special case 168. Summary 128 • 128 130 · 131 131 132 169. Theorems in Pure Geometry deduced ... Parallel Rotors 173. Connection of Mass - centre with Centre of Parallel Rotors Decomposition of Parallel Rotors 174 ...
... Parallel rotors only a special case 168. Summary 128 • 128 130 · 131 131 132 169. Theorems in Pure Geometry deduced ... Parallel Rotors 173. Connection of Mass - centre with Centre of Parallel Rotors Decomposition of Parallel Rotors 174 ...
Σελίδα 22
... parallel vectors and any two non - parallel vectors are said to be independent . If then we have such an equation as aa + BB = ca ta and we know that a and B are not parallel , then a = c and b = d . For from the above equation we have ...
... parallel vectors and any two non - parallel vectors are said to be independent . If then we have such an equation as aa + BB = ca ta and we know that a and B are not parallel , then a = c and b = d . For from the above equation we have ...
Σελίδα 140
... parallel to A , B ,, B , E1 , E , D , and D1A , and one diagonal AE parallel to one diagonal D1 B1 , then the other two diagonals BD and A1Е , are parallel . 1 1 ( 4 ) A Rotor can always be decomposed into a parallel and equal one ...
... parallel to A , B ,, B , E1 , E , D , and D1A , and one diagonal AE parallel to one diagonal D1 B1 , then the other two diagonals BD and A1Е , are parallel . 1 1 ( 4 ) A Rotor can always be decomposed into a parallel and equal one ...
Περιεχόμενα
INTRODUCTION | 1 |
Examples | 2 |
Localized scalars and vectors | 7 |
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A₁ ABCD Algebra angle axes axis B₁ bars base bending bending moment bisect C₁ called centre circle circular sector collinear Commutative Law components compression coordinates coplanar couple definite denote determined diagonals direction and sense divide draw drawn equal equation equilibrium figure find the mass-centre forces acting frame geometrical girder give given points given rotors Hence the mass-centre horizontal length line joining line parallel link-polygon load M₁ magnitude mass mass-centre must lie mid-point momental area move multiplying negative number of vectors OB₁ opposite origin orts parallelogram parallelopiped perpendicular plane pole polygon position vector projection quadrilateral reaction rectangle represent resultant rigid body scalar product shew shewn sides straight line stress diagram string suppose symmetry system of rotors tension tetrahedron theorem triangle vanishes vector product vector-polygon vertex vertices weight