 | John Mulcahy - Geometry - 1862 - 252 pages
...circle, the intersection of the diagonals and the extremities of the third diagonal (see Art. 11) are three points, such that each is the pole of the line joining the other two." Let BCC'B' be the quadrilateral (see the figure of Prop. 3° of the last Article). In the demonstration... | |
 | William Henry Besant - Conic sections - 1869 - 304 pages
...PROP. XIV. If a quadrilateral be inscribed in a conic, its opposite sides and diagonals will intersect in three points such that each is the pole of the line joining the other tico. Let ABCD be the quadrilateral, F and G the points of intersection of AD, BC, and of DC, AB. Let... | |
 | George Salmon - Geometry, Analytic - 1874 - 616 pages
...plane with regard to the original surface lies (Art. 65) on the polar plane of x'y'z', and (Art. 167) on the normal to the exterior surface. It is therefore...plane of contact of the cone. It follows, then (Art. 64), that the three normals meet B this plane of contact in three points, such that each is the pole... | |
 | William Henry Besant - Conic sections - 1875 - 348 pages
...PBOP. XIV. If a quadrilateral be inscribed in a conic, its opposite sides and diagonals will intersect in three points such that each is the pole of the line joining the other two. Let A BCD be the quadrilateral, F and G the points of intersection of AD, BC, and of DC, AB. Let EG... | |
 | Thomas Henry Eagles - Conic sections - 1885 - 404 pages
...PROP. 8. If a quadrilateral be inscribed in a conic, its opposite sides and diagonals will intersect in three points such that each is the pole of the line joining the other two. This follows at once from the harmonic properties of a complete quadrilateral, p. 16, combined with... | |
 | Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...PROP. 8. If a quadrilateral be inscribed in a conic, its 'opposite sides and diagonals will intersect in three points such that each is the pole of the line joining the other two. This follows at once from the harmonic properties of a complete quadrilateral, p. 16, combined with... | |
 | David Allan Low - Geometrical drawing - 1912 - 468 pages
...QNRK be inscribed in a conic, the opposite sides and diagonals will (produced if necessary) intersect in three points such that each is the pole of the line joining the other two. Since the circle is a particular form of a conic it follows that all that has been said about the pole... | |
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If a quadrilateral be inscribed in a conic, its opposite sides and diagonals will intersect in three points such that each is the pole of the line joining the other two. 