Graphics Or the Art of Calculation By Drawing Lines Applied Especially to Mec

Cover Graphics Or the Art of Calculation By Drawing Lines Applied Especially to Mec
Graphics Or the Art of Calculation By Drawing Lines Applied Especially to Mec
Robert H Robert Henry Smith
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In terms of the data of the last problem clature we have and 6 = The displacement of the earth past the ship might be given as the movement of the point of the earth originally at A 2 to A 1 combined with a rotation s round A 1 as axis. But the original position of A of the rod in the earth-field is not A 2 but Aj. Therefore, in order to follow out the exact con- verse of the procedure in the last problem we must have the earth displacement past the ship defined by the movement of its point ori...ginally at A r Call this movement 7. Now this point would move a e through the ship-field, if there were no rotation of the earth in this field ; but, seeing that there is the rotation s, the displacement is a e turned through 106 GRAPHICS CHAP. VII.
the angle s in the ship-field. Thus, according to our pre- vious nomenclature, 7^ ( 1) v ( aj.
Then according to the analogy of the result in the previous problem, namely, a displacement \a e + ( 1)* a s I along with a rotation (s + a), we obtain from the present problem a dis- )- \ 7 + ( 1) $1 com- bined with a rotation (6 s).


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