 | George Salmon, Arthur Cayley - Curves, Algebraic - 1873 - 379 pages
...constant, whatever be the £>osition of the point 0, provided that the directions of the lines OR, OS le constant.* And the proof is the same as that already...vector on a line through the origin making an angle 6 with the axis of x, ia A ___ ^ + Q cos""1 8 sin 0 + &c. ' and the same product for any other line... | |
 | Edward John Routh - Dynamics, Rigid - 1882 - 408 pages
...tangent and n-ormal at any point are the principal axes at that point. 53. Take any straight line MN through the origin, making an angle 0 with the axis of x. Draw SM, HN perpendiculars on MN. The moment of inertia about MN is AM.(OSsm0)* Through P draw PT parallel... | |
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OB, 08 be constant.* And the proof is the same as that already given in the case of conic sections. From the polar equation of the curve, Art. 26, we see that the product of all the values of the radius vector on a line through the origin making an angle... 