 | Lincoln College (University of Oxford). - 596 pages
...supplemental chord is parallel to the conjugate diameter. 10. Find on the circumference of a given circle a point such that the sum of the squares of its distances from two given points shall be equal to a given area. 11. Prove that a circle, described about the triangle... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...sides equal 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.... | |
 | William Walton - Coordinates - 1851 - 458 pages
...pour resoudre les Prdbl&mes de Geometric, p. 22. 6. To find on the circumference of a given circle a point such that the sum of the squares of its distances from two given points shall be equal to a given area. Let the equation to the given circle be <* + ? = <?... | |
 | 1864 - 96 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.... | |
 | 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... | |
 | Insurance - 1870 - 488 pages
...ascertain 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... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...whose distances from two given straight lines is equal to a given constant It. 174. Find the locus of a point such that the sum of the squares of its distances from two given points is equal to a given constant, k * . (III. 62.) 175. Find the locus of a point such... | |
 | Benjamin Williamson - Calculus, Differential - 1872 - 372 pages
...degree will 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 // given points shall be a Minimum. — Let (a, b, с), (а', b', с'), &с., be the co-ordinates of... | |
 | William Chauvenet - Mathematics - 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... | |
 | 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.... | |
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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. 
