Vectors and Rotors: With ApplicationsE. Arnold, 1903 - 204 σελίδες |
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Αποτελέσματα 1 - 5 από τα 32.
Σελίδα ix
... 68 . 69. Only one mass - centre 70. Mass - points in a line 71. Graphical construction 72. Calculation • • · 73. Mass - centres of partial systems 49 50 51 52 53 53 53 53 54 54 § 74. Geometrical Theorems 75. Mass - points in a CONTENTS ix.
... 68 . 69. Only one mass - centre 70. Mass - points in a line 71. Graphical construction 72. Calculation • • · 73. Mass - centres of partial systems 49 50 51 52 53 53 53 53 54 54 § 74. Geometrical Theorems 75. Mass - points in a CONTENTS ix.
Σελίδα x
... construction 84 . Mass - centre of Areas 85. Axes of Symmetry 86. Mass - centre of Trapezium 87. Mass - centre of Quadrilateral . Mass - centre of Sector of Circle Negative mass 88 . 89 . 90. Mass - centre of Segment of Circle . 91 ...
... construction 84 . Mass - centre of Areas 85. Axes of Symmetry 86. Mass - centre of Trapezium 87. Mass - centre of Quadrilateral . Mass - centre of Sector of Circle Negative mass 88 . 89 . 90. Mass - centre of Segment of Circle . 91 ...
Σελίδα xiii
... construction for Resultant ( General Method ) , Vector - polygon not closed . 165. Vector - polygon closed . 166. Vector- and Link - polygons closed 167. Parallel rotors only a special case 168. Summary 128 128 130 · 131 131 132 · 169 ...
... construction for Resultant ( General Method ) , Vector - polygon not closed . 165. Vector - polygon closed . 166. Vector- and Link - polygons closed 167. Parallel rotors only a special case 168. Summary 128 128 130 · 131 131 132 · 169 ...
Σελίδα 22
... construction can be done in two ways as seen from the figure , but both give the same components aa and bß . No other triangle can be drawn having OB as one side and the other sides parallel to a and B. Since any multiple of y can be ...
... construction can be done in two ways as seen from the figure , but both give the same components aa and bß . No other triangle can be drawn having OB as one side and the other sides parallel to a and B. Since any multiple of y can be ...
Σελίδα 33
... point A of a and thus get OS = a + B. The figure OASB is obviously by construction a parallelogram . H. 3 APPLICATIONS OF VECTORS TO GEOMETRY 33 50 Vectors in Space Any vector expressed in terms of three independent vectors.
... point A of a and thus get OS = a + B. The figure OASB is obviously by construction a parallelogram . H. 3 APPLICATIONS OF VECTORS TO GEOMETRY 33 50 Vectors in Space Any vector expressed in terms of three independent vectors.
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A₁ ABCD Algebra angle axis B₁ bars base beam bending bending moment bisect C₁ called centre collinear Commutative Law components compression coordinates coplanar couple definite denote determined diagonals direction and sense distance divide draw drawn equal equation equilibrium figure find the mass-centre forces acting frame friction given points given rotor Hence the mass-centre horizontal length line joining line parallel link-polygon load m₁ magnitude mass mid-point momental area move multiplying negative number of vectors origin orts parallel rotors parallelogram parallelopiped perpendicular plane pole polygon position vector projection quadrilateral reaction rectangle represent resultant rigid body scalar product shearing force shew shewn sides straight line stress diagram string suppose symmetry system of rotors tension tetrahedron theorem three vectors triangle vanishes vector product vector-polygon vertex vertices weight
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 29 - If the exterior angle of a triangle be bisected by a straight line which also cuts the base produced, the segments between the bisecting line and the extremities of the base have the same ratio which the other sides of the triangle have to one another...
Σελίδα 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.
Σελίδα 112 - ... is equal to the rectangle contained by the segments of the other.
Σελίδα 56 - ... are 8 in. Find the surface and volume of the greatest possible cylinder, of the same axis, that can be cut from the prism. Ex. 1634. The base of a right pyramid is a regular hexagon whose sides are 20 in., and the lateral faces are inclined to the base at an angle of 60°. Find the volume. Ex. 1635. Lines joining the mid.points of opposite edges of a tetrahedron meet in a point and bisect each other. Ex. 1636. The altitude of a cone of revolution is 27 in., and its curved surface is 7 times the...
Σελίδα 29 - The parallelograms about the diameter of any parallelogram are similar to the whole, and to one another. Let...
Σελίδα 116 - Show that the work done by a force in producing a given displacement may be measured (1) by the product of the displacement and the component of the force in the direction of the displacement...
Σελίδα 181 - A, the algebraic sum of the moments of all the forces to the left of the section is zero, since there are no forces to the left.
Σελίδα 3 - In vector geometry, a vector quantity is represented diagrammatically by a line called a vector. The length of the line represents, to scale, the magnitude of the quantity, and its direction represents the direction in which the quantity acts.
Σελίδα 29 - L' and L" cut at right angles. (8) Prove that the three bisectors of the angles of a triangle meet in a point. (9) Show that the equation of a straight line in polar co-ordinates is of the form r = p cosec (в — ф). What is the meaning of "p...