 The squares of straight lines ordinately applied to the same diameter, are to one another as the rectangles contained by the segments of that diameter, as was demonstrated (1.  Elements of the Conic Sections - Page 77by Robert Simson - 1809 - 177 pagesFull view - About this book
 | Robert Simson - Conic sections - 1817 - 298 pages
...intercepted between the vertices of those diameters and the ordinates drawn from those points. COR. 2. The squares of straight lines ordinately applied to the same diameter, are to one another, as the abscissas between those straight lines and the vertex of that diameter. Let EL, QR be ordinately applied... | |
 | Alexander Ingram - Mathematics - 1830 - 458 pages
...BF x Ft is = OB" — OF* (50.); therefore B6* : Drf2 ::BFxF6:EF«. Cor. 2. The squares of ordinates to the same diameter are to one another as the rectangles contained by the abscissas between them and the vertices. PROP. LIX. Theorem. If from the vertices E and K of two conjugate... | |
 | Charles Taylor - Conic sections - 1872 - 121 pages
...In Art. 86 it is shewn that the rectangles contained by the segments of any two intersecting chords are to one another as the rectangles contained by the segments of any other two chords parallel to the former. Hence if two of the chords, moving parallel to themselves,... | |
 | 1877 - 470 pages
...is constant. 4. In any conic the rectangles contained by the segments of any two intersecting chords are to one another as the rectangles contained by the segments of any two chords parallel to the former. 5. If CP,CD be conjugate radii of a hyperbola prove that SP.S'P=... | |
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