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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 - Side 66
av John Henry Robson - 1880
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...are given points. It is required to draw through any other point in the tame plane -with A, B, and C, a straight line, such that the sum of its distances from two of the given points, may be equal to its distance from the third. Analysis. Suppose F the point required,...
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A Treatise on the Analytic Geometry of Three Dimensions

George Salmon - 1862 - 490 sider
...with the tangent at any point.* 221. Conversely, again, we can find the locus of a point on a sphere, such that the sum of its distances from two fixed points on the sphere may be constant. The equation cos(p4 p) = cosa may be written cos*p + cosfp — 2 cosp cosp...
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A Treatise on the Analytic Geometry of Three Dimensions

George Salmon - 1862 - 506 sider
...with the tangent at any point.* 221. Conversely, again, we can find the locus of a point on a sphere, such that the sum of its distances from two fixed points on the sphere may be constant. The equation cos(p4 p'] = cosa may be written cos'p + cos'p — 2 cosp cosp...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...are given points. It it required to draw through any other point in the same plane with A, B, and C, a straight line, such that the sum of its distances from two of the given points, may be equal to its distance from the third. Analysis. Suppose F the point required,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...are given points. It is required to draw through any other point in the same plane with A, B, and C, a straight line, such that the sum of its distances from two of the given points, may be equal to its distance from the third. Analysis. Suppose F the point required,...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871 - 136 sider
...illustrate this part of the subject sufficiently for our purpose at present. 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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 sider
...illustrate this part of the subject sufficiently for our purpose at present. 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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 382 sider
...subject sufficiently for our purpose at present. Find « point in a given straight line, such (hat 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 Unefrom the...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 sider
...subject sufficiently for our purpose at present. Find a point in a given straight line, such that the mm 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...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 554 sider
...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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