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" A conic always touches four given straight lines ; prove that the chord of intersection of the circle, described about any one of the triangles formed by three of these straight lines, with the circle which is the locus of the intersection of two tangents... "
Oxford, Cambridge and Dublin Messenger of Mathematics - Page 43
1864
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A Collection of Problems and Theorems, with Hints, Results, and Occasional ...

Robert Henry Wright - Coordinates, Trilinear - 1865 - 174 pages
...to the director of the conic represented by ZV + m'ß' + «Y - : - (n + m cosA + 1 cos.B) a/3 = 0. A conic always touches four straight lines ; prove...of the conic, always passes through a fixed point. If the equation to the conic be and pa 4. gß + r<y = 0 represent the fourth line. The fixed point...
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Trilinear Coordinates and Other Methods of Modern Analytical Geometry of Two ...

William Allen Whitworth - Coordinates, Trilinear - 1866 - 558 pages
...same plane; prove that the four circles have a common chord. (483) A conic always touches four given straight lines ; prove that the chord of intersection of the circle, described about any one of the triangles formed by three of these straight lines, with the circle which is the...
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Mathematical Questions and Solutions, from the "Educational Times.", Volume 67

1897 - 138 pages
...two circles ................ 83 13408. (Professor Chakrivarti.) — A conic always touches four given straight lines ; prove that the chord of intersection of the circle, described about any one of the triangles formed by three of these straight lines, with the circle which is the...
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Educational Times: A Review of Ideas and Methods, Volume 50

Education - 1897 - 526 pages
.../— i \ (n +/>)'—«(n +p — iy 13408. (Professor CHAKRIVARTI.)—A conic always touches four given straight lines ; prove that the chord of intersection of the circle, described about any one of the triangles formed by three of these straight lines, with the circle which is the...
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