Vectors and Rotors: With ApplicationsE. Arnold, 1903 - 204 sider |
Inni boken
Resultat 1-5 av 58
Side viii
... planes 24. Turning about an axis PAGE 9 9 10 11 12 13 CHAPTER I. SECTION ( 1 ) . THE ADDITION OF VECTORS . 25. Definition of a vector , unit vector and ort . 26. Equal Vectors 27 . Notation . 28. Position Vector 15 15 16 16 29. Addition ...
... planes 24. Turning about an axis PAGE 9 9 10 11 12 13 CHAPTER I. SECTION ( 1 ) . THE ADDITION OF VECTORS . 25. Definition of a vector , unit vector and ort . 26. Equal Vectors 27 . Notation . 28. Position Vector 15 15 16 16 29. Addition ...
Side ix
... resultant mass 53 69. Only one mass - centre 53 70. Mass - points in a line 53 71. Graphical construction 53 72 . Calculation 54 73. Mass - centres of partial systems 54 74. Geometrical Theorems 75. Mass - points in a plane CONTENTS ix.
... resultant mass 53 69. Only one mass - centre 53 70. Mass - points in a line 53 71. Graphical construction 53 72 . Calculation 54 73. Mass - centres of partial systems 54 74. Geometrical Theorems 75. Mass - points in a plane CONTENTS ix.
Side x
... plane . 76. x and y of mass - centre . 77. x , y , z of mass - centre EXERCISES V. 78. The Link - polygon EXERCISES ... plane . 82 83 84 85 105. Projection of Points and their Mass - centre on a plane 85 106. Plan and Elevation EXERCISES ...
... plane . 76. x and y of mass - centre . 77. x , y , z of mass - centre EXERCISES V. 78. The Link - polygon EXERCISES ... plane . 82 83 84 85 105. Projection of Points and their Mass - centre on a plane 85 106. Plan and Elevation EXERCISES ...
Side 11
... plane will , in general , describe an area . If the point O be fixed whilst P moves along a given curve ( the length of OP varying ) , then OP starting from the position OA will sweep over an area OAP . If OP turns further the area will ...
... plane will , in general , describe an area . If the point O be fixed whilst P moves along a given curve ( the length of OP varying ) , then OP starting from the position OA will sweep over an area OAP . If OP turns further the area will ...
Side 12
... plane is perfectly definite as long as we have to deal with one plane only at which we look from one side only . But suppose a closed curve , say a circle , drawn on ... plane a definite 12 VECTORS AND ROTORS Examples Aspect of planes.
... plane is perfectly definite as long as we have to deal with one plane only at which we look from one side only . But suppose a closed curve , say a circle , drawn on ... plane a definite 12 VECTORS AND ROTORS Examples Aspect of planes.
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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...