Vectors and Rotors: With Applications |
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Common terms and phrases
a₁ Algebra angle applied axis B₁ B₂ bars base beam bending bending moment bisect C₁ called centre collinear Commutative Law components compression coordinates coplanar corresponding definite denote determined diagonals direction and sense distance divide draw drawn equal equation equilibrium figure find the mass-centre forces acting frame friction geometrical girder give given points given rotors Hence the mass-centre horizontal length line joining line parallel link-polygon load m₁ magnitude mass mass-points mid-point momental area move negative number of vectors orts parallel rotors parallelogram parallelopiped perpendicular plane pole polygon position vector projection quantity reaction rectangle represent rigid body scalar product shearing force shew shewn sides straight line stress diagram string Suppose system of rotors tension tetrahedron theorem tons triangle vanishes vector product vector-polygon vertex vertices weight
Popular passages
Page 21 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 29 - ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one...
Page 8 - If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts.
Page 112 - ... is equal to the rectangle contained by the segments of the other.
Page 17 - ... from the beginning of the first to the end of the last...