 | Charles William Hackley - Geometry - 1847 - 248 pages
...given line. The same, except the difference of the sides equal to a given line. 35. To find a point such that the sum of the squares of its distances from two given points shall be equal to a given square. D PROBLEMS. PROBLEM I.* To bisect a given line AB. FROM... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...distances from two given straight lines is equal to a given constant It. 174. Find the locus of a point such that the sum of the squares of its distances from two given points is equal to a given constant, k*. (III. 62.) 175. Find the locus of a point such that... | |
 | Edward Olney - Geometry - 1872 - 102 pages
...intersecting each other at right angles, so as to inclose a rectangle. 870. Prob.—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. drawn through the extremities... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...each other at right angles, so as to inclose a rectangle. 870. Prob. — 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. OF LOCI. drawn through... | |
 | Edward Olney - Geometry - 1872 - 96 pages
...each other at right angles, so as to inclose a rectangle. 870. Prob. — 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. OF LOCI. drawn through... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...distances from two given straight lines is equal to a given constant k. 174. Find the locus of a point such that the sum of the squares of its distances from two given points is equal to a given constant, k3. (III. 62.) 175. Find the locus of a point such that... | |
 | John Reynell Morell - 1875 - 220 pages
...intersection of the circumference and of the secants is constant. 108. The geometrical locus of the point, such that the sum of the squares of its distances from two fixed points is constant, is a circumference of which the centre coincides with the middle of the straight line... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...to the distance of these chords from the centre. See (III. 67). THEOREM VI. 12. The locus of a point such that the sum of the squares of its distances from two given points is equal to the square of the distance between the points is the circumference of a circle... | |
 | Charles Mansford - 1879 - 112 pages
...distances from two fixed lines is a constant given length. (34.) 187. To find the locus of a point, such that the sum of the squares of its distances from two fixed points is constant, (ii. 13.) 188. To draw a line through a given point between the legs of an angle, so that... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...to the distance of these chords from the centre. See (III. 67). THEOREM VI. 12. The locus of a point such that the sum of the squares of its distances from two given points is equal to the square of the distance betiveen the points is the circumference of a circle... | |
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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. 
