 | 1899 - 824 páginas
...points cuts off a segment containing an angle a. G Prove analytically that the locus of a point, which moves so that the sum of the squares of its distances from two given points is constant, ia a circle whose centre bisects the straight line joining the two given... | |
 | Charles Hamilton Ashton - 1900 - 294 páginas
...the sunl of the squares of whose distances from any number of points-* is constant, is a sphere. 3. A point moves so that the sum of the squares of its distances from the six faces of a cube is constant ; show that its locus is a sphere. 4. A and B are two fixed points,... | |
 | Charles Godfrey, Arthur Warry Siddons - 1903 - 384 páginas
...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 distances from two fixed points A, B remains constant ; prove that its locus is a circle, having for centre the mid-point... | |
 | Alfred Clement Jones - 1903 - 212 páginas
...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... | |
 | Joseph Harrison (A.M.I.C.E.) - 1903 - 300 páginas
...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 - 1904 - 453 páginas
...and 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.... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - 1904 - 462 páginas
...and 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.... | |
 | Albert Luther Candy - 1904 - 288 páginas
...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 - 1905 - 240 páginas
...and 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.... | |
 | Walter Nelson Bush, John Bernard Clarke - 1905 - 378 páginas
...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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A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant. 
