Vectors and Rotors: With ApplicationsE. Arnold, 1903 - 204 sider |
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Resultat 1-5 av 58
Side 2
... called representing the quantities to ' scale ' by lengths , and the quantities themselves are called Scalar Quantities . ( From the Latin scalae - a ladder- divided into equal parts by the rungs . ) 3. Definition . A quantity which has ...
... called representing the quantities to ' scale ' by lengths , and the quantities themselves are called Scalar Quantities . ( From the Latin scalae - a ladder- divided into equal parts by the rungs . ) 3. Definition . A quantity which has ...
Side 3
... called a vector . A vector must not be understood to occupy any definite position in space . The following illustration will help to make this clear . Suppose a number of points to move in parallel straight lines with the same speed and ...
... called a vector . A vector must not be understood to occupy any definite position in space . The following illustration will help to make this clear . Suppose a number of points to move in parallel straight lines with the same speed and ...
Side 4
... called a Rotor ( Clifford ) . 9. All quantities used by Euclid and those used in ordinary Algebra are scalars , and these branches of Mathematics treat fully of the Mathematics of Scalars . There is also a Mathematics of Vectors which ...
... called a Rotor ( Clifford ) . 9. All quantities used by Euclid and those used in ordinary Algebra are scalars , and these branches of Mathematics treat fully of the Mathematics of Scalars . There is also a Mathematics of Vectors which ...
Side 5
... called the Law of Association , Law II . The brackets mean that the operation inside is supposed performed . The last equation says we may put brackets in or leave them out . From these two laws it follows that in addition we may change ...
... called the Law of Association , Law II . The brackets mean that the operation inside is supposed performed . The last equation says we may put brackets in or leave them out . From these two laws it follows that in addition we may change ...
Side 9
... called the step AB . The steps AB and BA are those of the same magnitude but of opposite sense , and we write AB = -BA . Definition . If two steps AB and CD in the same straight line are in the same sense and of equal magnitude , we say ...
... called the step AB . The steps AB and BA are those of the same magnitude but of opposite sense , and we write AB = -BA . Definition . If two steps AB and CD in the same straight line are in the same sense and of equal magnitude , we say ...
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Vectors and Rotors: With Applications Olaus Henrici,George Charles Turner Uten tilgangsbegrensning - 1903 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 29 - ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one...
Side 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.
Side 112 - ... is equal to the rectangle contained by the segments of the other.
Side 17 - ... from the beginning of the first to the end of the last...