| 1836
...usually done ; and then deduce Rules for finding the logarithms of numbers. (5G). QUESTION VI. By . Def. **A diameter of a curve is the locus of the middle points of a** system of parallel chords. Find the equations of the diameters of the curves represented by the general... | |
| Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1856
...after performing the operation <td , dd ^«i -j -- r- az-j— •' 153. Mr. Fen-wick. Assuming that the **diameter of a curve is the " locus of the middle points of a series of parallel chords,"** it is required to prove that all diameters of the Witch of Agnesi (the principal axis excepted) are... | |
| Thomas Stephen Davies, Stephen Fenwick, William Rutheford - 1850
...be written for au a.. .(in, after performing the operation ddd 153. Mr. Fenreick. Assuming that the **diameter of a curve is the " locus of the middle points of a series of parallel** chords,'1 it \e required to prove that all diameters of the Witch of Agnesi (the principal axis excepted)... | |
| James Hann - 1850 - 128 páginas
...the tangent in terms of the angle that it makes with the major axis, is (46.) In the ellipse, to find **the locus of the middle points of a series of parallel chords.** The equation to the ellipse is AY + B2^ = A'B2 ..................... (1). Let MM' be any right line... | |
| Robert Potts - 1855
...find the polar equation to a straight line. 10. Explain what is meant by the diameter of a curve, and **find the diameter of a given system of parallel chords in a parabola.** If the angle included by the two lines x + y = 0, y = ^3.x be equal to \ir, what is the angle between... | |
| 1855 - 299 páginas
...lengths of the two lines that can be drawn from (x, y') in the given direction to the ellipse. 188. **To find the diameter of ^ a given system of parallel chords in** an ellipse. (See definition in Art. 148). Let 0 be the inclination of the chords to the major axis... | |
| Isaac Todhunter - 1862
...parabola, the roots are of the same sign, and the lines are drawn in the same direction. 148. DEF. **A diameter of a curve is the locus of the middle points...To find the diameter of a given system of parallel** •Jiords in a parabola. Let 0 be the inclination of the chords to the axis of the parabola ; let x',... | |
| Percival Frost, Joseph Wolstenholme - 1863 - 471 páginas
...CHAPTER XII. DIAMETRAL SURFACES. DIAMETRAL PLANES. CONJUGATE DIAMETERS. 236. DBF. A diametral surface **is the locus of the middle points of a series of parallel chords** of a given surface. There are, therefore, for any given surface, an infinite number of corresponding... | |
| William Allen Whitworth - 1866 - 506 páginas
...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 chords** is called a diameter. One of these chords in its limiting and evanescent position will become the tangent... | |
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