 | Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...their difference. Ex.11. AD is the altitude of a triangle ABC. Prove that AB2-AC2=BD2-CD2. Ex. 12. A point moves so that the difference of the squares of its distances from two given points is equal to a given square. Prove that the locus of the point is a straight line. Ex. 13. PQR is a triangle,... | |
 | 480 pages
...their sum, (ii) their difference. Ex. 11. AD is the altitude of a triangle ABC. Prove that Ex. 13. A point moves so that the difference of the squares of its distances from two given points is equal to a given square. Prove that the locus of the point is a straight line. Ex. 13. PQR is a triangle,... | |
 | G. P. West - Geometry - 1965 - 362 pages
...right angles. Show that AB2 + CD* = BC2 + DA2. 3. AD is the altitude of a triangle ABC. Prove that 4. A point moves so that the difference of the squares of its distances from two given points is equal to a given square. Find the locus of the point. 5. X, Y are the mid-points of the sides RS, ST... | |
 | University of St. Andrews - 1899 - 648 pages
...= 0 and are equal in area, and cut one another at right angles. 6. Find the locus of a point which moves so that the difference of the squares of its distances from two fixed points is constant. Show that the locus of a point which moves so that the square of its distance... | |
 | 356 pages
...triangle. AB is produced to any point D. Prove CD2=CB2 + AD.DB. 17. Shew that the locus of a point which moves so that the difference of the squares of its distances from two fixed points is constant is a straight line. 18. A point P moves in such a way that the length of the... | |
 | 228 pages
...orthocentre, centroid and nine-points centre are circles. 6. The locus of a point which is such that the sum of the squares of its distances from two given points is constant is a sphere. 7. A', B', €' are three points on the sides BC, CA, AB of a triangle ABC. Prove that... | |
 | 312 pages
...orthocentre, centroid and nine-points centre are circles. 6. The locus of a point which is such that the sum of the squares of its distances from two given points is constant is a sphere. 7. A', B', 0' are three points on the sides BC, CA, AB of a triangle ABC. Prove that the... | |
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A point moves so that the difference of the squares of its distances from (3, 0) and (0, — 2) is always equal to 8. 
