 | John Venn - Chance - 1888 - 550 pages
...such modes. One way of describing it is IT saying that the average of B, C, D, is assigned by choosing point such that the sum of the squares of its distances from B, C, D, is a minimum. But we might have selected a such that the cubes, or the fourth powers, or any... | |
 | George Albert Wentworth - 1889 - 264 pages
...Therefore QD= QE = QF. Therefore the locus is an arc with Q as centre and QD as radius. 9. To find the locus of a point such that the sum of the squares of its distances from two given points A, B is constant. The locus is a circle having for centre the middle point of the line... | |
 | George Albert Wentworth - 1889 - 276 pages
...05=0(7. Therefore QD= QE= QF. Therefore the locus is an arc with Q as centre and QD as radius. 9. To find the locus of a point such that the sum of the squares of its distances from two given points A, B is constant. The locus is a circle having for centre the middle point of the line... | |
 | 1890 - 608 pages
...the squares on half the base and on the line joining the vertex to the middle point of the base. Find the locus of a point such that the sum of the squares of its distances from two given points may be equal to a given square. 3. The opposite angles of a quadrilateral inscribed ia... | |
 | Edinburgh Mathematical Society - Mathematics - 1893 - 352 pages
...segments proportional to the squares of the adjacent sides the three straight lines are concurrent at a point such that the sum of the squares of its distances from the sides of the triangle is a minimum. The theorem was communicated by Captain Hossard to M. Poudra... | |
 | John Macnie - Geometry - 1895 - 386 pages
...maximum area within a given perimeter. EXERCISE 1XiG. On the circumference of a given circle find the point such that the sum of the squares of its distances from two given points without the circle shall be a minimum. 966. Of two given circles, one lies wholly within... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...respectively ; CC", BBf intersect at F. Prove that the triangle BFC is equal to the quadrilateral AC'FB'. 5. The locus of a point such that the sum of the squares on its distances from two fixed points is equal to the square on the distance between the points is... | |
 | William Holding Echols - Calculus - 1902 - 536 pages
...-tahg kbf which is a maximum or a minimum according as ?fe a = T , ah = +, a kg hbf S f ' hb 3. Find a point such that the sum of the squares of its distances from three given points is a minimum. Let xlt ylt 2,, ... xit j',, z,, be the given points. Then / = 2't... | |
 | Euclid, Rupert Deakin - Geometry - 1903 - 218 pages
...13, calculate the length of CD if AB = 4", BC = 5", CA = 6". 19. Draw a line AB of length 6 cm. Draw the locus of a point such that the sum of the squares of its distances from A and B is 2o sq. cm. 20. Draw a line AB of length 6 cm. Draw the locus of a point such that the difference... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...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 of AB. Ex.... | |
| |
Show that the locus of a point such that the sum of the squares of its distances from two fixed points is constant, is a circle. 
