...equation into the form x — x _y-y _*-•• ABC line will be respectively A, 2?, (7, each divided by the square root of the sum of the squares of these three quantities. when the direction-cosines of the Ex. 1. To find the direction-cosines of x = mz...

...directioncosines of this bisector are cos a' — cos a", cos /S' — cos y3", cos 7' — cos 7", each divided by the square root of the sum of the squares of these three quantities. The square roots in question are obviously V(2±2cos8); that is, 2 cos^8 and 2 sin£8,...

...the shear 2s. Now the direction-cosines of one bisector are I— I', m — m', n — n, each divided by the square root of the sum of the squares of these quantities, ie by -v/2, since the lines are rectangular; and the direction-cosines of the other bisector...

...and the shear 2 s. Now the direction-cosines of one bisector are l—Y, m—m', n—n', each divided by the square root of the sum of the squares of these quantities, ie by v2, since the lines are rectangular; and the direction-cosines of the other bisector...

...•= n '' when the direction-cosines of the A. jj L> line will be respectively A, B, G i each divided by the square root of the sum of the squares of these three quantities. Ex. 1. To find the direction-cosines of x = mz + a, y = nz + b. Writing the equations...

...for its components certain projections upon each of these four axes will have the length expressed by the square root of the sum of the squares of these resolved parts. As for terminology, a real part of a quantity is called a " scalar," and is measured...

...for its components certain projections upon each of these four axes will have the length expressed by the square root of the sum of the squares of these resolved parts. As for terminology, a real part of a quantity is called a " scalar," and is measured...