 | William Chauvenet - 1871 - 380 σελίδες
...point in a given circumference, and divided at P in a given ratio ; find the locus of P. 170. Find the locus of a point whose distances from two given straight lines are in a given ratio. (The locus consists of two straight lines.) 171. Find the locus of the points... | |
 | Thomas Steadman Aldis - 1872 - 84 σελίδες
...equilateral triangle. 11. Draw a circle equal to the sum of three given circles. MISCELLANEOUS. 1. Find the locus of a point whose distances from two given straight lines are in a constant ratio. 2. Hence show how to find a point whose distances from the sides of a given... | |
 | William Chauvenet - 1872 - 382 σελίδες
...point in a given circumference, and divided at -P in a given ratio ; find tho locus of P. 170. Find the locus of a point whose distances from two given straight lines are in a given ratio. (The locus consists of two straight lines. ) 171. Find the locus of the points... | |
 | Philip Kelland, Peter Guthrie Tait - 1873 - 254 σελίδες
...between the point of section and P bears to SP a constant ratio. Prove that the locus of P is a surfaco of the second order. 3. Prove that the section of...divides the line into parts which have a constant ratio. C. Required the locus of a point P such that the sum of the projections of OP on'CM and OB is constant.... | |
 | William Frothingham Bradbury - 1877 - 262 σελίδες
...line? 22. What is the locus of a point at a given distance from two given parallel lines ? 23. What is the locus of a point whose distances from two given straight lines are in a given ratio ? 24. What is the locus of the centres of the circles having the same radius and... | |
 | William Frothingham Bradbury - 1880 - 260 σελίδες
...line? 22. What is the locus of a point at a given distance from two given parallel lines 1 '23. What is the locus of a point whose distances from two given straight lines are in a given ratio ? 24i What is the locus of the centres of the circles having the same radius and... | |
 | George Albert Wentworth - 1888 - 264 σελίδες
...straight line CD, and then divided at P in a given ratio (m : n). Find the locus of the point P. 461. Find the locus of a point whose distances from two given straight lines are in a given ratio. (The locus consists of two straight lines.) PROBLEMS. 463. Given the perimeters... | |
 | John Macnie - 1895 - 390 σελίδες
...456. Find the locus of a point whose distances from two given points are in a given ratio. 457. Find the locus of a point whose distances from two given straight lines are in a given ratio. 458. Find the locus of a point the sum of whose distances from two given straight... | |
 | George Albert Wentworth - 1896 - 296 σελίδες
...cutting AE•m Q. Then AP : PB = m : n = AQ : QE. (g 309) .-. PQ is the locus required. Ex. 461. Find the locus of a point whose distances from two given straight lines are in a given ratio. Let CA and CB be two lines, and __ m : n the given ra- ^__— ^-i- -- i tio.... | |
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P is a surfaco of the second order. 3. Prove that the section of this surface by a plane perpendicular to the lin.e to which the generating lines are drawn perpendicular is a circle. 4. Prove that the locus of a point whose distances from two given straight... 