 | George Albert Wentworth - Geometry - 1892 - 468 pages
...the line RM is the locus of the middle points of all chords drawn parallel to the tangent at S. 830. The locus of the middle points of a system of parallel chords in a parabola is called a diameter. The parallel chords are called the ordinatcs of the diameter. 831.... | |
 | Sir Asutosh Mookerjee - Conic sections - 1893 - 197 pages
...bisected at V. is a fixed straight line bisecting all chords parallel to QQ\ Bel A diameter of any curve is the locus of the middle points of a system of parallel chords drawn in the curve. It has just been proved that the diameters of a parabola are straight lines. It... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...of parallel chords be drawn in a circle, their middle points lie in the same straight line. 60. What is the locus of the middle points of a system of parallel chords in a circle ? 61. What is the locus of the middle points of a system of chords of given length in a... | |
 | Calvin Frank Allen - Railroads - 1894 - 232 pages
...seldom that parabolic curves would be laid out by. instrument. 130. Properties of the Parabola. (a)* The locus of the middle points of a system of parallel' chords of a parabola is a straight line parallel to the axis of the parabola (ie a diameter). (6) The locus... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...Cor. 2. The perpendicular erected at the middle of a chord bisects the arcs of the chord. 235. Cor. 3. The locus of the middle points of a system of parallel chords is the diameter perpendicular to them. 236. In the same circle, or equal circles, equal chords are... | |
 | 1896 - 154 pages
...its polar is the same for every circle of the system. How many such points are there ? 6. Shew that the locus of the middle points of a system of parallel chords of a parabola is a straight line parallel to the axis of the parabola. Find also the locus of the middle... | |
 | Sidney Luxton Loney - Coordinates - 1896 - 447 pages
...point is, by Art. 205, a y = mx H -- , tt and is therefore parallel to each of the given chords. Hence the locus of the middle points of a system of parallel chords of a parabola is a straight line which is parallel to the axis and meets the curve at a point the tangent... | |
 | Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...and it is said to be self-conjugate. {Special case of (5).} 61. Diameter. The diameter of a circle is the locus of the middle points of a system of parallel chords of the circle. Accordingly let us find the equation of a diameter of the circle x 2 + y 2 = r 2 , (1)... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...chords be drawn in a circle, their middle points lie in the same straight line. (ยง 162.) 57. What is the locus of the middle points of a system of parallel chords in a circle ? 58. What is the locus of the middle points of a system of chords of given length in a... | |
 | University of Sydney - 1898 - 548 pages
...equation in Cartesian co-ordinates. Shew that it is perpendicular to the line joining the centres. 3. Find the locus of the middle points of a system of parallel chords of a parabola. Obtain also the equation to the locus of the middle points of all chords of a parabola... | |
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The locus of the middle points of a system of parallel chords in a parabola is called a diameter. 
