 | George C. Shutts - 1913 - 212 pages
...symmetrical and equal. SUG. Use Prop. § 740, and § 720. 83. What is the locus of a point in space such that the sum of the squares of its distances from two fixed points equals the square of the distance between the two fixed points? 84. Construct a plane... | |
 | Mathematics - 1916 - 230 pages
...however, unreal. 2. If LK be drawn through K parallel to BO, and meet AB in L, the Lemoine circle is the locus of a point such that the sum of the squares of its distances from 0 and K is constant, viz. the same as for the point L. Now OL' = R'-AL.LB P. q * (a' + b' + c')'' and... | |
 | Edward Harrison Askwith - Conic sections - 1917 - 302 pages
...loci of its orthocentre, centroid and nine-points centre are circles. 6. The locus of a point which is such that the sum of the squares of its distances from two given points is constant is a sphere. 7. A', B', G' are three points on the sides BC, CA, AB of a triangle ABC. Prove... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...the third side and the projection of the median on it. Subtracting equation (1) from (2) in §377, EXERCISE Find the locus of a point such that the sum...the extremities of the base the fixed points. Then a3 + 62 = 2 tP + - = A; (a constant) . £i THE SQUARE OF THE ANGLE BISECTOR 379. THEOREM. The square... | |
 | Eugene Randolph Smith, William Henry Metzler - Geometry, Solid - 1918 - 232 pages
...the locus of points in a given plane equidistant from two given coplanar lines outside the plane. 78. Find the locus of a point such that the sum of the squares of its distances from two given fixed points shall be constant. 79. Find the locus of a point such that the difference of the squares... | |
 | Alexander H. McDougall - Geometry - 1919 - 232 pages
...st. line MON, terminated in the arms of the ¿, and such that the rect. OM . ON. has a given area. 6. Find the locus of a point such that the sum of the squares on its distances from the arms of a given rt. ¿- is equal to the square on a given st. line. 7. The... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...product of its distances from two perpendicular lines is constant. d!057. Plot the locus of a point P such that the sum of the squares of its distances from two fixed points is constant. d!058. Plot the locus of a point such that the difference of the squares... | |
 | Reginald Charles Fawdry - Coordinates - 1921 - 236 pages
...origin, and OA, OB as axes. Prove that P lies on ait ell1pse, and find its equation. 20. A point moves so that the sum of the squares of its distances from two given sides of an equilateral triangle is constant and equals 2c2. Prove the locus is an ellipse and find... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...inscribed in a right circular cylinder, and will touch it along a circle. Ex. 5. What is the locus a point such that the sum of the squares of its distances from two fixed points is constant? Ex. 6. The radius of a sphere is 12 inches. Find the circumference of the... | |
 | Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...R2 away from point O: a circle with center 0 and radius RI + R2 . • PROBLEM 692 A point moves so that the sum of the squares of its distances from two given fixed points is a constant. Find the equation of its locus and show that it is a circle. Solution;... | |
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Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points. 
