 Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line.  Analytic Geometry - Page 145by Lewis Parker Siceloff, George Wentworth, David Eugene Smith - 1922 - 290 pagesFull view - About this book
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...whole line. 5. Given the base, area, and one of the angles at the base, construct the triangle. 6. Find the locus of a point which moves so that the sum of the squares of its distance from four given points is constant. On the Quadrature of a Rectilineal... | |
 | Harvard University - 1873 - 732 pages
...given point parallel to a given plane ? parallel to a given line ? in. ANALYTIC GEOMETRY. 1. Determine the locus of a point which moves so that the sum of the Hquares of its distances from two fixed points is constant. Also determine the locus, changing... | |
 | Thomas Kimber - 1874 - 352 pages
...determine whether the straight line x + У = 2 +-/2 is a tangent or not. 17. Find the locus of a point, P, which moves so that the sum of its distances from two fixed points, A and B, is constant. 1870. July 19th. — Examiners, — Prof. HJS SMITH, MA, FRS, and Prof. SYLVESTER,... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...fixed points. In what case does the conic degenerate into two intersecting straight lines ? 45. Find the locus of a point which moves so that the sum of the squares on the tangents drawn from it to the ellipse, -—- - + —jf = 1, is constant. X a v'... | |
 | Joseph Wolstenholme - Mathematics - 1878 - 538 pages
...feet of the perpendiculars from any other point P, will bisect OP. [Such a polygon has the property that the locus of a point, which moves so that the sum of the squares on its distances from the sides is constant, is a circle.] 2254. The limiting position... | |
 | Thomas Kimber - 1880 - 176 pages
...determine whether the straight line x + у = 2 +\/2 is a tangent or not, 17. Find the locus of a point, P, which moves so that the sum of its distances from two fixed points, A and B, is constant, 1870. July 19th. — Examiners, — Prof. HJS SMITH, MA, FRS, and Prof. SYLVESTER,... | |
 | 1882 - 376 pages
...equidistant from three given straight lines. 9. Inscribe a regular pentagon in a given circle. 10. Find the locus of a point which moves so that the sum of the squares of its distances from four given points is constant. What is the least possible value of... | |
 | Charles Smith - Conic sections - 1883 - 452 pages
...formed by the straight lines whose equations are y=m1x + cl, y=m,fc + c2, and j/=tjn3z + c3 is 19. Shew that the locus of a point which moves so that the sum of the perpendiculars let fall from it upon two given straight lines is constant is a straight line. -*... | |
 | Charles Smith - Geometry, Analytic - 1884 - 256 pages
...locus of a point, whose distances from two given planes are in a constant ratio, is a plane. Ex. 10. The locus of a point, which moves so that the sum of its distances from any number of fixed planes is constant, is a plane. 21. The co-ordinates of any point on the line of... | |
 | Charles Smith - Geometry, Analytic - 1886 - 268 pages
...locus of a point, whose distances from two given planes are in a constant ratio, is a plane. Ex. 10. The locus of a point, which moves so that the sum of its distances from any number of fixed planes is constant, is a plane. 21. The co-ordinates of any point on the line of... | |
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