 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...draw that diameter of a given circle which shall pass at a given distance from a given point. 9. Find the locus of the middle points of any system of parallel chords in a circle. 10. The two straight lines which join the opposite extremities of two parallel chords,... | |
 | Euclides - 1864 - 262 pages
...draw that diameter of a given circle which shall pass at a given distance from a given point. 9. Find the locus of the middle points of any system of parallel chords in a circle. 10. The two straight lines which join the opposite extremities of two parallel chords,... | |
 | Euclides - 1864 - 448 pages
...draw that diameter of a given circle which shall pass at a given distance from a given point. 9. Find the locus of the middle points of any system of parallel chords in a circle. 10. The two straight lines which join the opposite extremities of two parallel chords,... | |
 | Robert Potts - 1865 - 528 pages
...straight line, and determine ita position. la the property true for all points of this line? XL 12. Find the locus of the middle points of any system of parallel chords in a circle. 13. Shew that all equal straight lines in a circle will be touched by another circle.... | |
 | William Allen Whitworth - Coordinates, Trilinear - 1866 - 560 pages
...suppressed,) the equation to the locus of the middle points. Since the equation (3) is of the first degree, the locus of the middle points of any system of parallel chords in a conic section is a straight line. 240. DEP. The locus of the middle points of a series of parallel... | |
 | Robert Potts - 1868 - 434 pages
...draw that diameter of a given circle which shall pass at a given distance from a given point. 9. Find the locus of the middle points of any system of parallel chords in a circle. 10. The two straight lines which join the opposite extremities of two parallel chords,... | |
 | Dublin city, univ - 1871 - 366 pages
...Defining a conic by the fundamental property of its focus and directrix, prove that, in every conic, the locus of the middle points of any system of parallel chords is a right line. 2. The two tangents to an ellipse, or hyperbola, from any point, subtend equal angles... | |
 | Charles Taylor - Conic sections - 1872 - 121 pages
...proportional to CA and L. Or thus : L : SX = CS : GA, [66. therefore L.CA=08.SX = CB\ [65. 68. PROP. IV. The locus of the middle points of any system of parallel chords is a straight line passing through the centre of the ellipse. Let Qq be any one of the system of chords... | |
 | Charles Taylor - 1873 - 156 pages
...points of the latter. [244. But in the circle parallel chords are bisected by a straight line. Hence the locus of the middle points of any system of parallel chords of the ellipse projects into a straight line, and is therefore itself a straight line. [242. 256. Hence,... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...draw that diameter of a given circle which shall pass at a given distance from a given point. 9. Find the locus of the middle points of any system of parallel chords in a circle. 10. The two straight lines which join the opposite extremities of two parallel chords,... | |
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To draw that diameter of a given circle which shall pass at a given distance from a given point. 9. Find the locus of the middle points of any system of parallel chords in a circle. 
