 | John Radford Young - Conic sections - 1830 - 342 pages
...diameter is divided by an ordinate parallel to its conjugate into two parts, such that their rectangk is to the square of the' ordinate as the square of the transverse is to the square of the conjugate, (76). 4. The line which bisects parallel chords is a... | |
 | John Radford Young - Conic sections - 1830 - 390 pages
...diameter is divided by an ordinate parallel to its conjugate into two parts, such that their rectangle is to the square of the ordinate as the square of the transverse is to the square of the conjugate, (76). 4. The line which bisects parallel chords is a... | |
 | Henry Parr Hamilton - Conic sections - 1834 - 240 pages
...AM . Ma : MP2 :: AC" : BC\ that is, the rectangle contained by the segments of the transverse axis, is to the square of the ordinate, as the square of the semi-transverse axis, is to the square of the semi-conjugate. 182. COR. 3. Let a = b, then equations... | |
 | Royal Society (Great Britain) - Electronic journals - 1843 - 552 pages
...author proves the following propositions relating to this curve : — 1 . The rectangle of the abscissae is to the square of the ordinate, as the square of the semiaxis major to the difference of the squares of the semiaxis major and the excentricity. '2. The... | |
 | Royal Society (Great Britain) - Electronic journals - 1843 - 538 pages
...author proves the following propositions relating to this curve : — 1. The rectangle of the abscissae is to the square of the ordinate, as the square of the semiaxis major to the difference of the squares of the semiaxis major and the excentricity. 2. The... | |
 | D. M. Knapen - Measurement - 1849 - 300 pages
...given, to find the minor axis : — Find the other absciss ; then the product of the two abscisses is to the square of the ordinate, as the square of the major axis to that of the minor axis. When the two axes are given to find the eccentricity of the ellipse,... | |
 | John Radford Young - Geometry, Analytic - 1850 - 294 pages
...diameter is divided by an ordinate parallel to its conjugate into two parts, such that their rectangle is to the square of the ordinate as the square of the transverse is to the square of the conjugate, (76). 4. The line which bisects parallel chords is a... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...conjugate t& CP, then CP will be conjugate to CD. n. In the hyperbola the rectangle under the abscissae of any diameter is to the square of the ordinate, as the square of the diameter to the square of the conjugate. 12. In the parabola, at any point P, the chord of curvature... | |
 | Edward Adolphus Seymour (11th duke of Somerset.) - 1851 - 84 pages
...equal, we come to the following Proposition : — The square of the diameter of the alternate circle is to the square of the ordinate as the square of the diameter of the ellipse is to the square of its conjugate. Wherefore, by the 22d Proposition of the... | |
 | JOHN GRAY - 1857 - 784 pages
...and between the centre and the tangent to the point. (Cn: BC :: BC : Ct). 6. In an Ellipse show that the rectangle contained by the segments of any diameter, is to the square of the semi-ordinate, as the square of the diameter, is to the square of the conjugate diameter. (PV. Va :... | |
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... a diameter, in a constant ratio, the author proves the following propositions relating to this curve : — 1. The rectangle of the abscissae is to the square of the ordinate, as the square of the semiaxis major to the difference of the squares of... 
