 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
 | Clement Vavasor Durell - Geometry, Plane - 1909 - 244 pages
...hypothesis; .'. C is a fixed point; .'. every position of P is on the same coaxal circle. QED 112. Prove that the locus of a point, which moves so that the difference of the squares of the tangents from it to two given circles is constant, is a straight line.... | |
 | Clement Vavasor Durell - Geometry, Plane - 1909 - 244 pages
...hypothesis ; .'. C is a fixed point ; .'. every position of P is on the same coaxal circle. QED 112. Prove that the locus of a point, which moves so that the difference of the squares of the tangents from it to two given circles is constant, is a straight line.... | |
 | Norman Colman Riggs - Geometry, Analytic - 1910 - 328 pages
...circle with center at the origin and radius r. 12. A circle tangent to both axes and radius r. 14. The locus of a point which moves so that the sum of its distances from (0, 3) and (0, — 3) is 8. 15. The locus of a point which moves so that the difference of Its distances... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1911 - 330 pages
...3x— 2y + 1=0. Check the result by finding the area of the triangle in two ways. 12. Show analytically that the locus of a point which moves so that the sum of its distances from two given straight lines is constant is itself a straight line. 13. Express by an equation that the point... | |
 | Norman Colman Riggs - Geometry, Analytic - 1911 - 330 pages
...tangent to both axes and radius r. 13. A circle tangent to the ?/-axis at the origin and radius r. 14. The locus of a point which moves so that the sum of its distances from (0, 3) and (0, - 3) is 8. 15. The locus of a point which moves so that the difference of its distances... | |
 | Sir John Ambrose Fleming - Electric currents - 1911 - 340 pages
...its distance from a fixed point called the centre is constant. The ellipse is a curve described by a point which moves so that the sum of its distances from two fixed points called the foci is constant. The hyperbola is a curve described by a point which moves so that the... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1911 - 330 pages
...4 times its ordinate. Find the equation of its locus and trace the curve. 32. Find the equation of the locus of a point which moves so that the sum of its distances from the points (~1, 3) and (7, 3) is always 10. Trace and discuss the curve. 33. Find the equation of the... | |
 | Geometry, Plane - 1911 - 192 pages
...square. 7. When is a circle said to be the locus of a point which satisfies a given condition? Show that the locus of a point which moves so that the sum of the squares of its distances from two fixed points is constant is a circle whose centre is the middle... | |
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