Vectors and Rotors: With ApplicationsE. Arnold, 1903 - 204 sider |
Inni boken
Resultat 1-5 av 22
Side 7
... area of the rectangle of base a + b and altitude c is the sum of the rectangles whose bases are a and b respectively and whose common altitude is c . Hence the law of Distribution holds . It will also THE LAWS OF ALGEBRA.
... area of the rectangle of base a + b and altitude c is the sum of the rectangles whose bases are a and b respectively and whose common altitude is c . Hence the law of Distribution holds . It will also THE LAWS OF ALGEBRA.
Side 26
... . (光 + 号) Fig . 25 . ( iv ) Assuming that the bisector of the angle between the equal sides of an isosceles triangle bisects the base , we can easily obtain the vector bisecting the angle between any 26 VECTORS AND ROTORS.
... . (光 + 号) Fig . 25 . ( iv ) Assuming that the bisector of the angle between the equal sides of an isosceles triangle bisects the base , we can easily obtain the vector bisecting the angle between any 26 VECTORS AND ROTORS.
Side 27
... base in the ratio of the sides . ABC is the triangle , BO the bisector of the angle at B , a the magnitude of BA , b that of BC . Then AB CB a + b = = tB . But AB = ẞ - t1a Fig . 26 . Hence tß = в - CB - B + tα . в t1 t2 a + α α b α b ...
... base in the ratio of the sides . ABC is the triangle , BO the bisector of the angle at B , a the magnitude of BA , b that of BC . Then AB CB a + b = = tB . But AB = ẞ - t1a Fig . 26 . Hence tß = в - CB - B + tα . в t1 t2 a + α α b α b ...
Side 28
... base AB cutting the sides ( or sides produced ) in A , B1 , the points P and Q divide AB , and ÂÂ1 in the same ratio , shew that OPQ is a straight line . ( 14 ) Any point P is joined to the vertices of a parallelogram , shew that the ...
... base AB cutting the sides ( or sides produced ) in A , B1 , the points P and Q divide AB , and ÂÂ1 in the same ratio , shew that OPQ is a straight line . ( 14 ) Any point P is joined to the vertices of a parallelogram , shew that the ...
Side 29
... base produced , the segments between the dividing line and the extremities of the base have the same ratio which the other sides of the triangle have . ( 21 ) The three bisectors of the angles of a triangle meet in a point . COORDINATES ...
... base produced , the segments between the dividing line and the extremities of the base have the same ratio which the other sides of the triangle have . ( 21 ) The three bisectors of the angles of a triangle meet in a point . COORDINATES ...
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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...