 | 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
...the points, and a, b are the semi-axes of the ellipse. 32. Two equal circles touch one another, find the locus of a point which moves so that the sum of the tangents from it to the two circles is constant. 33. Prove that the sum of the products of the... | |
 | 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... | |
 | Arthur Le Sueur - Circle - 1886 - 120 pages
...-2^-) to the circle ж2 + ?/2=25. Find the length of the chord joining the points of contact. 16. Find the locus of a point which moves so that the sum of the squares of its distances from the four sides of a square is constant. 17. A point inoves so that... | |
 | John Bascombe Lock - Forces and couples - 1888 - 278 pages
...magnitude and direction by the three sides of a given triangle not taken the same way round ; find the locus of a point which moves so that the sum of the moments of the three forces about it may be constant. 6. Prove that the moment of a given force... | |
 | 1890 - 608 pages
...Find the length of the perpendicular from the point hh upon the straight line Ax + By + C — 0. Find the locus of a point which moves so that the sum of the perpendiculars from it upon two given straight lines is constant. 2. Two tangents can be drawn... | |
 | Euclid - Geometry - 1892 - 460 pages
...Find the locus of a point at a given radial distance from the circumference of a given circle. 5. Find the locus of a point which moves so that the sum of its distances from two given intersecting straight lines of unlimited length is constant. 6. Find the locus of a point when... | |
 | W. J. Johnston - Geometry, Analytic - 1893 - 448 pages
...If APB = a constant /3 ; find the locus of P. Ans. The circle x2 + y2 — 2 ay cot ß = a2. 20. Find the locus of a point which moves so that the sum of the squares of its distances from the sides of a square (side = a) is constant = 2 k2. Ans. Taking... | |
 | 1895 - 802 pages
...Shew that the sum of the focal distances of any point on an ellipse is constant. Find the equation of the locus of a point which moves so that the sum of its distances from two fixed points is constant. 5. Find from the definition the differential coefficient of sin ./;, and deduce the differential coefficient... | |
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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. 
