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" Find a point in a given straight line, such that the sum of its distances from two fixed points on the same side of the line is a minimum, that is, less than the sum of the distances of any other point in the line from the fixed points. Taking the diagram... "
An elementary treatise on geometrical drawing - Page 66
by John Henry Robson - 1880
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Elements of Geometry, Volume 1

Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...the middle points of the sides of the second, the polygons are equal. PROBLEMS OF CONSTRUCTION 24. Find a point in a straight line such that the sum...distances from two fixed points on the same side of the straight line shall be the least possible. 25. Find a point in a straight line such that the difference...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...greatest minimum is that whose equal sides make equal angles with the base, l 233. Find a point in a plane such that the sum of its distances from two fixed points on the same side of the plane shall be a minimum. 234. Find a point in a plane such that the difference of its distances from...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...greatest minimum is that whose equal sides make equal angles with the base. 233. Find a point in a plane such that the sum of its distances from two fixed points on the same side of the plane shall be a minimum. 234. Find a point in a plane such that the difference of its distances from...
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Theory of Orbital Motion

Arjun Tan - Science - 2008 - 300 pages
...an alternative definition of the ellipse. The ellipse is the locus of a point which moves in a plane such that the sum of its distances from two fixed points on that plane is a constant. Note that this property is unique to the ellipse and does not apply to the...
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