 | 1890 - 608 pages
...of 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 a circle are... | |
 | 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 the other.... | |
 | George Cunningham Edwards - Geometry - 1895 - 328 pages
...situated that the ratio of their distances from two given points is 1. 36. Locate a point in a plane so that the sum of the squares of its distances from two given points not in the plane, is fixed ; and its distance from a given line of the plane is also fixed. 37. Find... | |
 | Education - 1899 - 824 pages
...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 points. Extend this... | |
 | 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... | |
 | J. Elliott - Geometry - 1902 - 290 pages
...is constant. [Prove that sum of perpendiculars is always equal to the sum from a special point.] 21. Find the locus of a point such that the sum of the perpendiculars from it to two given straight lines is constant. 22. Given two straight lines at right... | |
 | 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... | |
 | Alfred Clement Jones - Geometry - 1903 - 212 pages
...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 and... | |
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Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points. 
