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" Find a point in a given straight line such that the sums of its distances from two given points (not in the same plane with the given straight line) may be the least possible. "
Elementary Solid Geometry and Mensuration - Page 47
by Henry Dallas Thompson - 1896 - 199 pages
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...given point from a given line in space. 6. Find a point in a given straight line such that the sums of its distances from two given points (not in the...the given straight line) may be the least possible. 7. Draw a line perpendicular to two lines which are not in the same plane. 8. Two planes being given...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...at which the parts of the \vall meet. 41. Find a point in a given straight line such that the sums of its distances from two given points (not in the...the given straight line) may be the least possible. 42. If there be two straight lines which are not parallel, but which do not meet, though produced ever...
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Dublin examination papers

Dublin city, univ - 1864 - 324 pages
...and show how any number of ratios can be compounded into a single ratio. 17. Find a point in a given line, such that the sum of its distances from two given points shall be equal to a given line. 1 8. State Euclid's twelfth axiom, Book I., and the use which he makes...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...is the shortest line that can be drawn from any point in one of them to any point in the other. 71. Find a point in a given straight line such that the...the given straight line) may be the least possible. 72. If, round a line which is drawn from a point in the common section of two planes at right angles...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...edge at which the parts of the wall meet. 41. Find a point in a given straight line such that the sums of its distances from two given points (not in the...the given straight line) may be the least possible. 42. If there be two straight lines which are not parallel, but which do not meet, though produced ever...
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870 - 272 pages
...SEucIto 1. PROVE that any two sides of a triangle are together greater than the third side. Find the point in a given straight line such that the sum of its distances from two given points is the least possible. 2. Triangles upon equal bases and between the same parallels are equal. The...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...example, however, will 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...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...parallel to a given plane. 313. To determine that point in a given straight lino, which is equidistant from two given points not in the same plane with the given line. 314. To find a point in a plane which shall be equidistant from three given points in space....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...example, however, will 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...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...parallel to a given plane. 313. To determine that point in a given straight lino which is equidistant from two given points not in the same plane with the given line. 314. To find a point in a plane which shall be equidistant from three given points in space....
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