| 1881 - 138 pages
...when E and F coincide with 1 and J, as in the question. [Inverting with respect to 0, wo have to find the locus of the points of contact of tangents from a fixed point D to a circle passing through two fixed points. If a be constant and a variable, the equations of c'.rcle... | |
| 1881 - 404 pages
...when E and F coincide with I and J, as iu the question. [Inverting with respect to C, we have to find the locus of the points of contact of tangents from a fixed point D to a circle passing through two fixed points. If a be constant and a variable, the equations of circle... | |
| Charlotte Angas Scott - Geometry, Analytic - 1894 - 308 pages
...envelope of the tangents at the points where a fixed transversal meets a pencil of conies. 6. Find the locus of the points of contact of tangents from a fixed point to a range of conies. 7. The polars of a point with regard to four conies of a pencil form a pencil... | |
| William James Milne - Geometry, Modern - 1899 - 258 pages
...locus of the middle point of a straight line moving between the sides of a right angle. Ex. 391. Find the locus of the points of contact of tangents from a fixed point to a system of concentric circles. Ex. 392. Find the locus of the middle points of secants drawn from... | |
| William James Milne - Geometry - 1899 - 404 pages
...locus of the middle point of a straight line moving between the sides of a right angle. Ex. 391. Find the locus of the points of contact of tangents from a fixed point to a system of concentric circles. BOOK III RATIO AND PROPORTION 257. 1. How is a magnitude measured... | |
| William James Milne - Geometry - 1899 - 326 pages
...OF, the locus of P is the quadrant CD of that circumference included between OE and OF. Ex. 391. Find the locus of the points of contact of tangents from a fixed point to a system of concentric circles. Solution. Let A be the point of contact of the tangent DA from the... | |
| John Wellesley Russell - Geometry - 1905 - 412 pages
...a conic with a focus at the corresponding focus. Ex. 9. Reciprocate for any point the theorem — ' The locus of the points of contact of tangents from a fixed point to a system of concentric circles is a circle through the fixed point and through the common centre.'... | |
| Charlotte Angas Scott - Conic sections - 1907 - 452 pages
...(b'h - bh')\/ + (gh1 - g'h + af - a'f)x + W - W + Vg - b,j')y + <jf' - <jf = 0. Example ii. — Find the locus of the points of contact of tangents from a fixed point (h, k) to a system of concentric similar and similarly situated conies. Any conic of the system is... | |
| Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...given circle. 25. Find the locus of the vertex of a right triangle having a given hypotenuse. 26. Find the locus of the points of contact of tangents from a fixed point to a system of concentric circles. 27. Find the locus of the intersection of the diagonals of a system... | |
| George Alexander Gibson, Peter Pinkerton - Geometry, Analytic - 1919 - 510 pages
...again meets a parallel tangent to a confocal in P ; prove that PQ . Pit is constant. Ex. 3. Prove that the locus of the points of contact of tangents from a fixed point to a system of confocal conies is a cubic curve which passes through the point and the foci of the... | |
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