| 1850 - 638 pages
...which we have, therefore, to resolve the geometrical problem (a very elementary one) — ' to find a point such that ' the sum of the squares of its distances from a certain number ' of given points shall be a minimum,' — a problem which is, in effect, identical... | |
| Charles William Hackley - Geometry - 1847 - 248 pages
...to a given line. The same, except the difference of the sides equal to a given line. 35. To find a point such that the sum of the squares of its distances from two given points shall be equal to a given square. D PROBLEMS. PROBLEM I.* To bisect a given line AB. FROM... | |
| Mathematics - 1864 - 96 pages
...is the focus. Prove that the tangents at the vertices of the parabolas thus described intersect in a point, such that the sum of the squares of its distances from the four given points is equal to the square of the diameter of the circle 34 1435. Show how to find... | |
| 1864 - 104 pages
...is the focus. Prove that the tangents at the vertices of the paraholas thus descrihee intersect in a point, such that the sum of the squares of its distances from the four given points is equal to the square of the diameter of the circle. Solution hy the PROPOSER.... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...seen from a point is the angle contained by the two tangents from that point. 186. Find the locus of a point, such that the sum of the squares of its distances from the vertices of a given triangle is equal to the square of a given line. (Ex. 166.) 187. From any point... | |
| Edward Olney - Geometry - 1872 - 102 pages
...intersecting each other at right angles, so as to inclose a rectangle. 870. Prob.—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. drawn through the extremities... | |
| Edward Olney - Geometry - 1872 - 96 pages
...intersecting each other at right angles, so as to inclose a rectangle. 870. Prob. — 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. OF LOCI. drawn through... | |
| Edward Olney - Geometry - 1872 - 562 pages
...intersecting each other at right angles, so as to inclose a rectangle. 870. Prob. — 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. OF LOCI. drawn through... | |
| Benjamin Williamson - Calculus, Differential - 1872 - 370 pages
...find no difficulty in giving the geometrical interpretation of the preceding result. i49. To find a point such that the sum of the squares of its distances from n given points shall be a Minimum. — Let («, b, с), (а, b', с), &с., be the co-ordinates of... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...seen from a point is the angle contained by the two tangents from that point. 186. Find the locus of a point, such that the sum of the squares of its distances from the vertices of a given triangle is equal to the square of a given line. (Ex. 166.) 187. From any point... | |
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