 | Mathematics - 1862 - 282 pages
...two scalar unknowns. It gives p* = ra-^/S1a. aw, , also Hence p* = Sap, the sphere as it ought to be. Find the locus of a point the ratio of whose distances from two given points is constant. Let them be O and .4, OA = a. At once A sphere of which the radius is T\ - ;,) and the centre 1 V1-nV is... | |
 | Peter Guthrie Tait - 1867 - 364 pages
...plane whether the spheres intersect or not. It is, in fact, what is called their Radical Plane. 221. Find the locus of a point the ratio of whose distances from two given points is constant. Let the given points be 0 and A, the extremities of the vector a. Also let P be the required point in any... | |
 | Peter Guthrie Tait - Quaternions - 1867 - 366 pages
...plane whether the spheres intersect or not. It is, in fact, what is called their Radical Plane. 221. Find the locus of a point the ratio of whose distances from two given points is constant. Let the given points be 0 and A, the extremities of the vector a. Also let P be the required point in any... | |
 | Philip Kelland - 1873 - 248 pages
...conic, whether the lines which join them form a hexagon or not. ADDITIONAL EXAMPLES то CHAP. VIII. 1. Find the locus of a point, the ratio of whose distances from two given straight lines is constant. 2. Find the locus of a point the square of whose distance from a given... | |
 | 1877 - 678 pages
...the vertical angle of u triangle divides the base produced into segments proportional to the sides. The locus of a point the ratio of whose distances from two fixed points is constant is a circle. 4. If a solid angle be contained by three plane angles, any two... | |
 | Edwin T. Olver - 1879 - 158 pages
...the vertical angle of a triangle divides the base produced into segments proportional to the sides. The locus of a point the ratio of whose distances from two fixed points is constant is a circle. 4. If a solid angle be contained by three plane angles, any two... | |
 | 1880 - 186 pages
...the vertical angle of a triangle divides the base produced into segments proportional to the sides. The locus of a point the ratio of whose distances from two fixed points is constant is a circle. (. If a solid angle be contained by three plane angles, any two... | |
 | 1886 - 198 pages
...centres of the moon and earth, M, m the masses of ea,th and moon, R the radius of the earth. .. . But the locus of a point the ratio of whose distances from two points distant 8 apart is -S,c, is a circle of radius 5V* / I — K. 8189. (By Professor MATHEWS, MA)... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...in F, E respectively : prove that AD, BE, CF intersect in a point. TE 28 ADDITIONAL PROPOSITION 5. The locus of a point, the ratio of whose distances from two given points is constant, is a circle*. Let A, B be two given points and P a point such that the ratio of AP to BP is equal to... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...AC m F, E respectively: prove that AD, BE, CF intersect in a point. TE 28 ADDITIONAL PROPOSITION 5. The locus of a point, the ratio of whose distances from two given points is constant, is a circle*. Let A, B be two given points and P a point such that the ratio of AP to BP is equal to... | |
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The locus of a point, the ratio of whose distances from two given points is constant, is a circle*. 
