| Percey Franklyn Smith, William Anthony Granville - Calculus - 1910 - 248 pages
...and if the "constant difference" be denoted by k, we find for the locus 4 ax = k or 4 ax = — k. 11. **A point moves so that the ''sum of the squares of its distances from two fixed points** is constant. Prove that the locus is a circle. Hint. Choose axes as in problem 10. 12. A point moves... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...intersection points of the bisectors of its interior base angles. 20. Find the locus of a point P such **that the sum of the squares of its distances from two fixed points** is constant. + 2 REVIEW AH I) FURTHER APPLICATIONS. 21. Find the locus of a point P such that the ratio... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...intersection points of the bisectors of its interior base angles. 2O. Find the locus of a point P such **that the sum of the squares of its distances from two fixed points** is constant. REVIEW AND FURTHER APPLICATIONS. 21. Find the locus of a point P such that the ratio of... | |
| Geometry, Plane - 1911 - 192 pages
...to be the locus of a point which satisfies a given condition? Show that the locus of a point which **moves so that the sum of the squares of its distances from two fixed points** is constant is a circle whose centre is the middle point of the two fixed points. JUNE, 1905 1. What... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry, Modern - 1912 - 190 pages
...generalized theorem, of which Apollonius' theorem is a particular case. Also compare Ex. 27.) Ex. 0O. **A point moves so that the sum of the squares of its...remains constant ; prove that its locus is a circle.** Ex. 31. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on... | |
| Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1912 - 364 pages
...revolution when the ratio is less than unity, and a hyperboloid of revolution when greater than unity. 7. **A point moves so that the sum of the squares of its distances from two** intersecting perpendicular lines in space is constant. Prove that the locus is an ellipsoid of revolution.... | |
| Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1912 - 364 pages
...following loci are circles, and find the radius and the coordinates of the center in each case : (a) **A point moves so that the sum of the squares of its distances from** (3, 0) and (- 3, 0) always equals 68. Ana. x2 + j/2 = 25. (b) A point moves so that its distances from... | |
| University of Calcutta - 1912 - 746 pages
...may be collinear. 2. Define a circle. From your definition obtain the general equation of the circle. **A point moves so that the sum of the squares of its distances from** the four sides of a square is constant; prove that the locus is a circle. Determine the centre and... | |
| George Clinton Shutts - Geometry - 1912 - 392 pages
...C'D-DE, 4. How many degrees in arc B'E? In arc C'D? Why? 1, What is the locus of a point in space such **that the sum of the squares of its distances from two fixed points** equals the square of the distance between the two fixed points? PROPOSITION XXII. 737. THEOBEM. Two... | |
| George C. Shutts - 1913 - 212 pages
...symmetrical and equal. SUG. Use Prop. § 740, and § 720. 83. What is the locus of a point in space such **that the sum of the squares of its distances from two fixed points** equals the square of the distance between the two fixed points? 84. Construct a plane tangent to a... | |
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