 | William Henry Besant - Conic sections - 1869 - 304 pages
...pairs of tangents be drawn to a conic, the chords of contact will pass through a fixed point. 194. DBF. The locus of the points of intersection of tangents at the extremities of chords through a fixed point is called the polar of the point. Also, if from points in a straight line... | |
 | S. A. Renshaw - Conic sections - 1875 - 220 pages
...their extremities intersect on a fixed straight line PL; hence the following definition : — DBF. — The locus of the points of intersection of tangents at the extremities of chords through a fixed point is called the POLAE of the point ; also, if from points in a straight... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...condition that the straight line y=mx + c may touch the x* 1/ 2 ellipse -5 + '73 = 1 ' and hence find the locus of the points of intersection of tangents at the extremities of conjugate diameters. 11. Find the magnitude and position of the principal axes of the ellipse 3 (**+/)+*•*?=... | |
 | Thomas Henry Eagles - 1885 - 404 pages
...(hord through Q intersect in the straight line AB the polar of Q. Hence the polar may be defined as the locus of the points of intersection of tangents at the extremities of chords through a fixed point. Given a circle and a triangle ABC, if we take the polars with respect... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...the condition that the straight line y—mx-\-c may touch the ellipse *j + j£ = 1, and hence find the locus of the points of intersection of tangents at the extremities of conjugate diameters. n. Find the magnitude and position of the principal axes of the ellipse 12. Find... | |
 | 392 pages
...line cuts the curve. The relation between P and its polar p suggests that (/3) the polar of a point is the locus of the points of intersection of tangents at the extremities of chords through that point. Notice also that a passes through P] b passes through P) p passes through... | |
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Hence the polar may be defined as the locus of the points of intersection of tangents at the extremities of chords through a fixed point. 