| Education - 1901 - 808 pages
...namely, Nos. 1, 2, 3, 4. and one of the alternatives in each of Nos. 5, 6, 7. I. A point moves in a plane **so that the sum of the squares of its distances from two** given points is constant, prove that its locus is a circle. AHCD is a quadrilateral inscribed in a... | |
| William Holding Echols - Calculus - 1902 - 536 pages
...•= kl, b — «y= km, squared and added, give the envelope 9. Find the envelope of a right line when **the sum of the squares of its distances from two fixed points** is constant, and also when the product of these distances is constant. 10. A point on a right line... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...Apollonius' theorem to A1 OAC, OBD ; then eliminate OB2. Ex. 114O. In the figure of Ex. 1139, O Ex. 1141. **A point moves so that the sum of the squares of its...circle, having for centre the mid-point of AB. Ex.** 1 142. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on... | |
| Alfred Clement Jones - Geometry - 1903 - 212 pages
...second degree represents straight lines, the equation of the bisectors of the angle between them is 35. **A point moves so that the sum of the squares of its distances from two** given sides of an equilateral triangle is constant and equal to 2c2. Show that the locus is an ellipse... | |
| Joseph Harrison - Geometry - 1903 - 300 pages
...on the circumference. Interpreted, the equation tells us that a circle is the locus of a point which **moves so that the sum of the squares of its distances from two** perpendicular lines is constant. It can be shown that all curves of determinate form have equations... | |
| Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 453 pages
...if the "constant difference " be denoted by /<;, we find for the locus 4 ax = k or 4 ax = — k. 13. **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 12. 14. A point moves... | |
| Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
...if the "constant difference " be denoted by /:, we find for the locus 4 ax = k or 4 ax = — k. 13. **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 12. 14. A point moves... | |
| Albert Luther Candy - Geometry, Analytic - 1904 - 288 pages
...squares of its distances from the axes is constant (a2) ? •J 13. Find the locus of a point which **moves so that the sum of the squares of its distances from** the points (a, 0) and (— а, 0) is constant (2 c2). 14. Find the locus of a point which moves so... | |
| Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1905 - 240 pages
...if the "constant difference " be denoted by k, we find for the locus 4 аж = A or 4 ax = — *. 13. **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 12. 14. A point moves... | |
| Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...LG- = 2 LH2 + 2 GJf 2. (Why ?) iff2 + LM2 = 2 it? -(- 2 CJ/2. (Add, and combine terms.) Ex. 43. If L **moves so that the sum of the squares of its distances from** A, B, and C = a given square ; that is, so that LA2 + LI? + LCT- equals, say i <?2i what is the center... | |
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