 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1912 - 364 pages
...increased by 2. Construct its locus. 5. A point is equidistant from the Z-axis and the XF-plane, and its distance from the origin is equal to its distance from the FZ-plane increased by 2. Construct the locus. SPECIAL SURFACES For example, if (1) x = if2, 7/=l-2í,... | |
 | John Wesley Young, Frank Millett Morgan - Functions - 1917 - 584 pages
...distance from the plane x + '2y — 5 = 0 is twice its distance from the a-axis. 27. A point moves so that its distance from the origin is equal to its distance from the zx-plane. Find the equation of its locus. 335. Simultaneous Linear Equations. In § 70 we saw that... | |
 | Alexander H. McDougall - Geometry - 1919 - 232 pages
...Find the condition that the three points (xv y¿), (Ж2> Уь)< (xs' Уз) таУ lie in a st- line7. Find the locus of a point such that the square of its distance from ( - 3, - 7) exceeds the square of its distance from (5, 0) by 43. 8. Prove that the equation Aœ +... | |
 | Trinity College (Dublin, Ireland) - 1843 - 342 pages
...plane curve : the remaining three planes of intersection will pass through the same right line. 17- Find the locus of a point such that the square of its distance from a fixed point may be in a given ratio to the product of its distances from two fixed planes, and show... | |
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Find the locus of a point such that the square of its distance from the origin is equal to its distance from the X axis multiplied by a constant k. 