 | George Cunningham Edwards - Geometry - 1895 - 330 pages
...distances from two vertices of an equilateral triangle shall equal its distance from the third. 144. Find the locus of a point which moves so that the sum of the squares of the distances from two given points is fixed. The same for three given points. 145. Find the locus... | |
 | George Cunningham Edwards - Geometry - 1895 - 330 pages
...the locus of a point, the distances of which from two given straight lines have a fixed ratio. 143. Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from the third.... | |
 | 1895 - 800 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... | |
 | Sidney Luxton Loney - Coordinates - 1896 - 447 pages
...joining 0 to its centre is inclined at an angle ct" to the initial line. EXAMPLES. XXII. 1. A point moves so that the sum of the squares of its distances from the four sides of a square is constant ; prove that it always lies on a circle. 2. A point moves so... | |
 | Frederick Harold Bailey - Geometry, Analytic - 1902 - 392 pages
...analytically that, if two medians of a triangle are equal, the triangle is isosceles. 101. Show that the locus of a point which moves so that the sum of its distances from two given straight lines is constant is a straight line. 102. What two straight... | |
 | Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...another circle is proportional to the perpendicular from that point to their radical axis. 90. A point moves so that the sum of the squares of its distances from any number of fixed points is constant. Show that the locus is a circle. -- 91. A point moves so that... | |
 | 1898 - 830 pages
...triangle are โ ั = mtx + c, y=m.fv + c, x = 0, > Show that its area is โ 3. An ellipse is defined as the locus of a point which moves so that the sum of its distances from two fixed points is constant. Find from this definition the equation of the curve.... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...4 = 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... | |
 | Education - 1899 - 824 pages
...that the chord joining the points cuts off a segment containing an angle a. G Prove analytically that the locus of a point, which moves so that the sum of the squares of its distances from two given points is constant, ia a circle whose centre bisects the straight line joining the two given... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...Find the locus of a point at a given radial distance from the circumference of a given circle. ยป 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. V 6. Find... | |
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Find the locus of a point, the distances of which from two given straight lines have a fixed ratio. 143. Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from... 
