 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 66by John Henry Robson - 1880Full view - About this book
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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,... | |
 | George Salmon - Geometry, Analytic - 1862 - 490 pages
...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... | |
 | George Salmon - Geometry, Analytic - 1862 - 506 pages
...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... | |
 | Euclides - 1864 - 448 pages
...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,... | |
 | Robert Potts - 1868 - 434 pages
...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,... | |
 | Euclides - 1871 - 136 pages
...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...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... | |
 | Euclides - 1878 - 398 pages
...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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 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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