 | 1876 - 586 pages
...the length of the perpendicular from the point (x1, y') upon the line y=mx+c. Find the equation to the locus of a point which moves so as to be always cqui-distant from the lines — x+y — a=Q. x—y + a=Q. 8. Investigate the equation to the circle... | |
 | 1886 - 198 pages
...segments under any chord through O of the circumcircle of ABC. 4133. (By Professor WHIT WORTH, MA) — The locus of a point, which moves so as to be always...constant distance from its polar with respect to a given hyperbola, is a curve of the fourth order, having four real asymptotes, parallel, two and two,... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...y = 7 x — 4 and 2 z + y = 5, and forming with the z-axis the angle -y à 21. Find the equation of the locus of a point which moves so as to be always equidistant from the points (0, 0) and (3, 2). Show that the points (0, 0), (3, 2), and (1, ~1) are... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1911 - 328 pages
...7 x — 4 and 2 x + y — 5, and forming with the x-axis the angle ^ • o 16. Find the equation of the locus of a point which moves so as to be always equidistant from the points (4, 0) and (0, -4). 17. Find the equation of the locus of a point which... | |
 | Alfred Monroe Kenyon, William Vernon Lovitt - Mathematics - 1917 - 368 pages
...1) + 2(2,' - 2) = 6, and this reduces to IX, § 155] CONIC SECTIONS 154. Parabola. The parabola is the locus of a point which moves so as to be always equidistant from a fixed point F and a fixed line L. The fixed point F is called the focus. The fixed... | |
 | Maria M. Roberts, Julia Trueman Colpitts - Geometry, Analytic - 1918 - 266 pages
...the points ( —2, 1) and (6, —3) and passing through its middle point. 10. Find the equation of the locus of a point which moves so as to be always equidistant from the two points ( — 2, 1) and (6, —3). Prove that this is the perpendicular bisector... | |
 | Claude Irwin Palmer, William Charles Krathwohl - Geometry, Analytic - 1921 - 376 pages
...and (4, 6), its vertex is on the line x + y — 7 = 0. Find the coordinates of its vertex. 37. Find the locus of a point which moves so as to be always equidistant from the points (3, 5) and ( — 1, 7). 38. Find the equation of the locus of a point which... | |
 | Herbert James Larcombe - 1928 - 272 pages
...locus will be the circumference of a circle with a radius equal to the given distance. Learn: 1 (a). The locus of a point which moves so as to be always at a given distance from a given point is the circumference of a circle with the given point as centre and... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1876 - 580 pages
...the length of the perpendicular from the point (x1, y') upon the line y=mx+c. Find the equation to the locus of a point which moves so as to be always equi-distant from the lines — — a=0. x — + a=0. 8. Investigate the equation to the circle having... | |
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Find the equation to the locus of a point which moves so as to be always equi-distant from the lines — — a=0. 