Vectors and Rotors: With ApplicationsE. Arnold, 1903 - 204 sider |
Inni boken
Resultat 1-5 av 17
Side xii
... vanishes 157. Definition of ( 1 ) Equivalent systems of Rotors , ( 2 ) Resultant Rotor , ( 3 ) Equilibrium of Rotors 158. If two rotors have equal momental areas for all poles , the rotors are equal . If a system of Rotors has a 122 ...
... vanishes 157. Definition of ( 1 ) Equivalent systems of Rotors , ( 2 ) Resultant Rotor , ( 3 ) Equilibrium of Rotors 158. If two rotors have equal momental areas for all poles , the rotors are equal . If a system of Rotors has a 122 ...
Side 6
... vanish if one factor vanishes . In Algebra we have also the law of indices am × an = am + n , Law VI . but as we shall not require it for Vectors , no more need be said about it . 14. The above laws are proved in arithmetic where a , b ...
... vanish if one factor vanishes . In Algebra we have also the law of indices am × an = am + n , Law VI . but as we shall not require it for Vectors , no more need be said about it . 14. The above laws are proved in arithmetic where a , b ...
Side 18
... vanishes , and conversely , if the sum of the vectors vanishes the Vector Polygon is closed . In the figure a , B , y , 8 are vectors and the vector 6 A α Fig . 17 . B B polygon ABCD is closed , and therefore a + B + y + 8 = 0 . If it ...
... vanishes , and conversely , if the sum of the vectors vanishes the Vector Polygon is closed . In the figure a , B , y , 8 are vectors and the vector 6 A α Fig . 17 . B B polygon ABCD is closed , and therefore a + B + y + 8 = 0 . If it ...
Side 58
... vanishes , or ≥ma = 0 . 77. If the points are not in a plane , then the vectors Fig . 50 . then the equation becomes y a , B , y can be decomposed in 3 fixed directions given . by 3 orts K , λ , μ , see § 51 . In figure OP a OM + MN + ...
... vanishes , or ≥ma = 0 . 77. If the points are not in a plane , then the vectors Fig . 50 . then the equation becomes y a , B , y can be decomposed in 3 fixed directions given . by 3 orts K , λ , μ , see § 51 . In figure OP a OM + MN + ...
Side 97
... ) = m ( aß ) . Hence if either factor of a product of two vectors has a scalar multiplier , the scalar may be taken outside the bracket . 120. The vector product of like vectors vanishes . Since H. 7 PRODUCTS OF TWO VECTORS 97.
... ) = m ( aß ) . Hence if either factor of a product of two vectors has a scalar multiplier , the scalar may be taken outside the bracket . 120. The vector product of like vectors vanishes . Since H. 7 PRODUCTS OF TWO VECTORS 97.
Innhold
79 | |
80 | |
81 | |
82 | |
83 | |
84 | |
85 | |
86 | |
17 | |
18 | |
19 | |
20 | |
21 | |
22 | |
23 | |
24 | |
27 | |
28 | |
31 | |
32 | |
33 | |
35 | |
37 | |
38 | |
40 | |
41 | |
43 | |
44 | |
45 | |
46 | |
47 | |
49 | |
50 | |
51 | |
52 | |
53 | |
54 | |
55 | |
56 | |
58 | |
59 | |
60 | |
64 | |
65 | |
66 | |
68 | |
70 | |
72 | |
73 | |
74 | |
76 | |
77 | |
78 | |
88 | |
90 | |
93 | |
94 | |
95 | |
96 | |
97 | |
98 | |
99 | |
100 | |
101 | |
102 | |
103 | |
104 | |
105 | |
106 | |
107 | |
108 | |
113 | |
117 | |
118 | |
119 | |
125 | |
127 | |
134 | |
140 | |
155 | |
161 | |
170 | |
176 | |
182 | |
185 | |
186 | |
188 | |
189 | |
190 | |
193 | |
195 | |
196 | |
197 | |
198 | |
199 | |
201 | |
203 | |
Andre utgaver - Vis alle
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...