 | Robert Simson - 1817 - 298 Seiten
...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 - 1830 - 458 Seiten
...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 - 1872 - 121 Seiten
...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 Seiten
...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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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. 