 | William Chauvenet - Geometry - 1871 - 380 pages
...that the sum of its distances from two given planes is equal to a given straight line. 306. Locus of a point such that the difference of the squares of its distances from two given points is equal to a given constant. 307. Locus of a point in a given plane such that the difference... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...distances from two given points is equal to a given constant. 307. Locus of a point in a given plane such that the difference of the squares of its distances from two given points is equal to a given constant. 308. A straight line of a given length moves so that its... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...distances from two given points is equal to a given constant, k3. (III. 62.) 175. Find the locus of a point such that the difference of the squares of its distances from two given points is equal to a given constant Jc2. (III. 62. ) 176. If A, B and C are three given points... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...distances from two given points is equal to a given constant. 307. Locus of a point in a given plane such that the difference of the squares of its distances from two given points is equal to a given constant. 308. A straight line of a given length moves so that its... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...surface of a sphere whose diameter is the distance between the points. THEOREM VII. 14. The locus of a point such that the difference of the squares of its distances from two given points is equal to the square of the distance between the points is a line through either of... | |
 | George Albert Wentworth - 1879 - 196 pages
...squares shall be to each other as two given lines. Ex. 368. Find the locus of a point which moves so that the difference of the squares of its distances from two fixed points is always equal to a given square. Ex. 369. Construct on the diagonal of a given rectangle an equal rectangle.... | |
 | Charles Mansford - 1879 - 112 pages
...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 the segments... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...surface of a sphere whose diameter is the distance between the points. THEOREM VII. 14i The locus of a point such that the difference of the squares of its distances from two given points is equal to the square of the distance between the points is a line through either of... | |
 | George Bruce Halsted - Measurement - 1881 - 258 pages
...line joining the two fixed points. 17. The locus of points, the difference of the squares of whose distances from, two fixed points is constant, is a...straight line perpendicular to that which joins the two fixed points. 18. The sum of any two sides of a triangle is greater than twice the concurrent medial.... | |
 | Charles Scott Venable - 1881 - 380 pages
...plane. Discuss the problem if the four points are all in the same plane. 7. Find upon a straight line a point such that the difference of the squares of its distances from two given points is a given square. 8. Through a given straight line draw a plane which shall be parallel... | |
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A point moves so that the difference of the squares of its distances from two fixed points is constant. Show that the locus is a straight line. Hint. Draw XX' through the fixed points, and YY/ through their middle point. 
