 | 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
...= T$, and t(pa,)= 2)3,, square the equations, and subtract, and we have 25(oa,)p = o'-a.'-O'-fr"), which is the equation of a plane, perpendicular to...ratio of the lengths of the two lines, This gives /' ' — 2 Sap + a' = n ' p', x or, by an easy transformation, Thus the locus is a sphere whose radius... | |
 | 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... | |
 | Arthur Sherburne Hardy - Quaternions - 1881 - 252 pages
...0, which is the equation of a sphere passing through o and having VfL — for a diameter. OD 15. To find the locus of a point the ratio of whose distances from two given points is constant. Let o and A be the two given points, OA = a, OR = p, R being a point of the locus. Then, by condition,... | |
 | Arthur Sherburne Hardy - Quaternions - 1881 - 252 pages
...= 0, which is the equation of a sphere passing through o and having m OD — for a diameter. 15. To find the locus of a point the ratio of whose distances from two given po1nts is constant. Let o and A be the two given points, OA = a, OR = p, R being a point of the locus.... | |
 | Arthur Sherburne Hardy - Quaternions - 1881 - 248 pages
...= 0, which is the equation of a sphere passing through о and having — for a diameter. OD 15. To find the locus of a point the ratio of whose distances from tico given points is constant. Let о and A be the two given points, о A = a, OR = p, R being a point... | |
 | 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)... | |
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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. 
