 | Mathematics - 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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If fig. 179 were spun about OA, what figure would be generated (i) by the circle, (ii) by AP, (iii) by PQ? Hence find the locus of the points of contact of tangents from a fixed point to a fixed sphere. Ex. 
