| 1874
...in P, and the normal at P meet the axis in N, prove that MN is equal to the latus rectum. 13. Find **the locus of the middle points of a system of parallel chords** in an ellipse. Additional Questions. A. Find the general term in the expansion of Find the coefficient... | |
| Percival Frost - 1875 - 422 páginas
...Purser referred to for this article. Conjugate Diameters. 268. DBF. A diametral plane of a conicoid is **the locus of the middle points of a system of parallel chords.** 269. To find the diametral plane corresponding to a given series of parallel chords in a given central... | |
| 1876
...— 0. 3. To find the equation of that chord of a conic which is bisected at the origin; and to show **that the locus of the middle points of a system of parallel chords is a** right line. 4. The general equation of the tangents to a conic from a point (x1 y') being U' U —... | |
| Great Britain. Education Department. Department of Science and Art - 1877
...lines at right angles to each other, prove that If the plane, I x + my + nz = o, cut the cone, 48. Find **the locus of the middle points of a system of parallel chords** of a central conicoid. Prove that the sum of the squares of the projections of any three conjugate... | |
| J. G - 1878 - 372 páginas
...an equilateral triangle is constant. Sliaw that the locus of the point it a circle. Ex. 13. To find **the locus of the middle points of a system of parallel chords** in a circle. The locua is a straight line through the centre perpendicular to the chords. Ex. 1 4.... | |
| Elizabethan club - 1880
...meet CP in L, shew that PL 2ab a + CD being the semi-diameter conjugate to CP. 8. Find the equation of **the locus of the middle points of a system of parallel chords** of the hyperbola xy=£. 9. In the conic - = 1 + e cos 0, find the equation of the tangent at any point.... | |
| Charles Taylor - 1880 - 104 páginas
...Rectum is the focal chord, or chord through the focus, at right angles to the axis. 7. A Diameter is **the locus of the middle points of a system of parallel chords:** it will be proved that the diameters of conics are straight lines. One diameter is said to be conjugate... | |
| George Anthony Hill - 1880 - 314 páginas
...through two given points. (Two solutions. In what case only one ? In what case no solution ?) It. Find **the locus of the middle points of a system of parallel chords.** 12. Through a given point within a circle draw a chord which is bisected at this point. § 184. Let... | |
| Charles Taylor - 1881 - 384 páginas
...angles to the axis Other uses of these terms will be noticed in the course of the work. A Diameter is **the locus of the middle points of a system of parallel chords.** It will be shewn that the diameters of conies are straight lines. The points in which diameters and... | |
| Samuel Earnshaw - 1881 - 108 páginas
...angles to the axis Other uses of these terms will be noticed in the coarse of the work. A Diameter is **the locus of the middle points of a system of parallel chords.** It will be shewn that the diameters of conies are straight lines. The points in which diameters and... | |
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