 | 1866 - 390 pages
...through the 4th focus of the cubic, as well as through A, B, C. 1994. (Proposed by MW CEOPTON, BA) — Two circles have double internal contact with an ellipse,...circle passes through the four points of contact. If t, t', T be the tangents from any point on the ellipse to these three circles, prove that T2= tit. I.... | |
 | W. J. C. Miller - Mathematics - 1866 - 128 pages
...system of Cartesian ovals having double contact with one another at two fixed points 35,70,88, 100 1994. Two circles have double internal contact with an ellipse,...circle passes through the four points of contact. If i, t', T be the tangents from any point on the ellipse to thes.e three circles, prove that T2=t tf... | |
 | 1866 - 120 pages
...system of Cartesian ovals having double contact with one another at two fixed points 35,70,88, 100 1994. Two circles have double internal contact with an ellipse, and a third circle passes through tho four points of contact. If t, V , Т bo the tangents from any point on the ellipse to these three... | |
 | Samuel Earnshaw - Differential equations, Partial - 1881 - 602 pages
...therefrom to a fixed circle is in a constant ratio to its perpendicular distance from a fixed straight line ; and prove that in the case in which the straight...578. Two circles have double internal contact with an ellipse,f and a third circle passes through the four pointa of contact. If f, (', T be the tangents... | |
 | Charles Smith - Conic sections - 1883 - 388 pages
...that PP is parallel to CC'. Examine the case where the conies are similar and similarly situated. 88. Two circles have double internal contact with an ellipse...circle passes through the four points of contact. If t, t', T be the tangents drawn from any point on the ellipse to these three circles, prove that tt' =... | |
 | W. J. Johnston - Geometry, Analytic - 1893 - 462 pages
...which becomes two straight lines, if the given line passes through one of the limiting points. 30. Two circles have double internal contact with an ellipse,...circle passes through the four points of contact. If t, f, T be the tangents from any point on the ellipse to these circles, then T2 - tf 31. Show that a tangent... | |
 | Charles Smith - Conic sections - 1916 - 466 pages
...that PP' is parallel to CO'. Examine the case where the conies are similar and similarly situated. 88. Two circles have double internal contact with an ellipse...circle passes through the four points of contact. If t, t', T be the tangents drawn from any point on the ellipse to these three circles, prove that tt' =... | |
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Two circles have double internal contact with an ellipse,! and a third circle passes through the four points of contact. If t, ft T be the tangents from any point on the ellipse to these three circles, prove that T* = #'. 579. 